added presentation

This commit is contained in:
toni
2016-10-02 12:56:03 +02:00
parent dec24df08a
commit b9fcca72e3
72 changed files with 60333 additions and 1225 deletions

View File

@@ -1,6 +1,6 @@
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE QtCreatorProject>
<!-- Written by QtCreator 4.0.3, 2016-09-21T13:13:17. -->
<!-- Written by QtCreator 4.0.3, 2016-09-24T23:35:19. -->
<qtcreator>
<data>
<variable>EnvironmentId</variable>

View File

@@ -1,20 +1,20 @@
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00:0B:86:27:35:80,10.4727,31.8167,-2.71109,-35.0022,3.44592,-10.3489
00:0B:86:27:35:90,90.3394,15.4303,2.04479,-49.8716,2.68872,-6.04702
00:0B:86:27:3E:E0,6.17818,4.15351,0.139055,-35,3.4997,-5.7909
00:90:4C:91:00:00,83.9248,11.7224,12.29,-49.9992,2.82737,-7.04282
B8:A3:86:65:E3:20,4.69674,5.5026,0.464426,-40.543,3.49904,-7.30668
1A:FE:34:9D:0D:20,31.2992,33.9625,0.145345,-41.5356,3.49953,-4.3978
72:77:81:A4:9E:30,28.7311,38.3731,6.2193,-49.9932,3.21405,-5.31385
A0:2B:B8:6E:F8:00,-5.31735,104.568,4.70765,-49.9934,2.06603,-9.35664
00:80:2F:17:A2:B0,25.0241,36.8684,-0.150894,-45.8281,3.43221,-7.33956
00:0B:86:27:3E:D0,36.061,33.8152,0.0645585,-40.771,3.49971,-6.54765
00:80:2F:19:26:70,27.4261,37.3301,0.866323,-49.9991,3.08838,-5.47872
82:B6:BE:58:5C:50,62.9964,33.7411,0.140919,-49.9989,2.72436,-9.15091
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00:0B:86:27:35:80,10.5028,31.8707,3.95646,-35.0007,3.44512,-10.8759
00:0B:86:27:35:90,90.372,15.2894,1.53025,-49.9994,2.68004,-6.94256
00:0B:86:27:3E:E0,6.17656,4.05443,1.3057,-35.0028,3.49573,-7.25185
00:90:4C:91:00:00,83.9013,11.7317,13.5704,-49.9653,2.8296,-6.28655
B8:A3:86:65:E3:20,4.68423,5.49643,1.03361,-40.5158,3.49879,-9.26018
1A:FE:34:9D:0D:20,31.2849,33.9562,1.23252,-41.5591,3.49978,-5.89092
72:77:81:A4:9E:30,29.4428,36.2108,-0.636792,-49.9991,2.38446,-11.8965
A0:2B:B8:6E:F8:00,-11.9492,96.7791,-1.79548,-49.9978,1.50672,-11.6318
00:80:2F:17:A2:B0,24.9658,36.7921,1.58163,-46.6008,3.37182,-6.0539
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00:0B:86:27:35:10,34.2133,6.21805,1.27939,-41.6772,3.49991,-6.69982
00:0B:86:27:3E:80,18.2714,22.2452,0.990597,-39.2623,3.42874,-9.27818
00:0B:86:27:37:B0,30.4014,26.7286,2.53775,-42.694,3.4999,-5.34677
00:0B:86:27:45:B0,57.2736,7.33802,1.17219,-39.0982,3.49899,-6.02998
F8:8E:85:CF:2D:D0,40.8893,107.896,-11.7498,-49.9764,1.35164,-15.5905

View File

@@ -29,7 +29,7 @@
// MyWalkState(const GridPoint& gp, const Heading head, const float relativePressure) : WalkState(gp), WalkStateHeading(head, 0), WalkStateRelativePressure(relativePressure) {;}
//};
const bool barometer = true;
const bool barometer = false;
struct MyNode : public GridPoint, public GridNode, public GridNodeImportance {
@@ -120,7 +120,7 @@ struct PFTrans : public K::ParticleFilterTransition<MyState, MyControl> {
PFTrans(Grid<MyNode>& grid, MyControl* ctrl) : grid(grid), modHead(ctrl, 4.5f), modButterActPerc(ctrl) {//, modPressure(ctrl, 0.100) {
walker.addModule(&modHead);
//walker.addModule(&modSpread); // might help in some situations! keep in mind!
walker.addModule(&modSpread); // might help in some situations! keep in mind!
//walker.addModule(&modHeadUgly);
walker.addModule(&modImportance);
@@ -162,7 +162,7 @@ struct PFTrans : public K::ParticleFilterTransition<MyState, MyControl> {
/** stell sicher, das er die treppe läuft, auch wenn kein step erkannt wurde*/
if(node.getType() == 1){
dist = control->numSteps * 0.4 + 0.6; // * varUpDown * (control->barometer.actProbs.stairsDown > control->barometer.actProbs.stairsUp ? control->barometer.actProbs.stairsDown : control->barometer.actProbs.stairsUp); //* wahrscheinlichkeit treppe
dist = control->numSteps * 0.4 + 0.4; // * varUpDown * (control->barometer.actProbs.stairsDown > control->barometer.actProbs.stairsUp ? control->barometer.actProbs.stairsDown : control->barometer.actProbs.stairsUp); //* wahrscheinlichkeit treppe
}
}
@@ -351,13 +351,17 @@ struct BFTrans : public K::BackwardFilterTransition<MyState> {
double diffDeg = Angle::radToDeg(diffRad);
double angularChange = Angle::radToDeg(p2->state.refTurnAngle);
const double headingProb = Distribution::Normal<double>::getProbability(angularChange, 5.0, diffDeg);
double headingProb = Distribution::Normal<double>::getProbability(angularChange, 5.0, diffDeg);
//check how near we are to the measurement
double diffZ = (p2->state.position.z_cm - p1->state.position.z_cm) / 100.0;
const double floorProb = Distribution::Normal<double>::getProbability(muFloor, sigmaFloor, diffZ);
double floorProb = Distribution::Normal<double>::getProbability(muFloor, sigmaFloor, diffZ);
if(!barometer){
floorProb = 1.0;
actProb = 1.0;
}
//combine the probabilities
double prob = distProb * headingProb * floorProb * actProb;
@@ -541,12 +545,17 @@ struct PFEval : public K::ParticleFilterEvaluation<MyState, MyObs> {
// //Wenn partikel noch auf treppe, dann sollte das hier etwas höher sein, wenn aber nicht mehr... sehr sehr klein!
// if (observation.act == ActivityButterPressure::Activity::STAY){
// return observation.actProbs.stay * 0.5;
// }
float curTS = observation.curTS;
// if(curTS > 460000 && curTS < 540000){
// return 1.0;
// }
if (deltaZ_cm > 0){return observation.actProbs.stairsDown;}
if (deltaZ_cm < 0){return observation.actProbs.stairsUp;}
return 0.8 * observation.actProbs.stairsDown > observation.actProbs.stairsUp ? observation.actProbs.stairsDown : observation.actProbs.stairsUp;
return 0.7 * observation.actProbs.stairsDown > observation.actProbs.stairsUp ? observation.actProbs.stairsDown : observation.actProbs.stairsUp;
}
@@ -556,12 +565,20 @@ struct PFEval : public K::ParticleFilterEvaluation<MyState, MyObs> {
// //Wenn partikel noch im aufzug, dann sollte das hier etwas höher sein, wenn aber nicht mehr... sehr sehr klein!
// if (observation.act == ActivityButterPressure::Activity::STAY){
// return observation.actProbs.stay * 0.5;
// }
// if(observation.actProbs.stairsDown > observation.actProbs.elevatorDown){
// return observation.actProbs.stairsDown;
// }
// if(observation.actProbs.stairsUp > observation.actProbs.elevatorUp){
// return observation.actProbs.stairsUp;
// }
if (deltaZ_cm > 0){return observation.actProbs.elevatorDown;}
if (deltaZ_cm < 0){return observation.actProbs.elevatorUp;}
return 0.8 * observation.actProbs.elevatorDown > observation.actProbs.elevatorUp ? observation.actProbs.elevatorDown : observation.actProbs.elevatorUp;
return 0.7 * observation.actProbs.elevatorDown > observation.actProbs.elevatorUp ? observation.actProbs.elevatorDown : observation.actProbs.elevatorUp;
}
return 1.0;
@@ -599,7 +616,7 @@ struct PFEval : public K::ParticleFilterEvaluation<MyState, MyObs> {
_assertNot0(pBaroPercent,"pBaroPercent is null");
return pWifi*pGps*pBaroPercent*pBaroPressure;
return pWifi*pGps*pBaroPressure*pBaroPercent;
}
virtual double evaluation(std::vector<K::Particle<MyState>>& particles, const MyObs& observation) override {

View File

@@ -136,6 +136,10 @@ public:
// high signal strength? higher sigma!
const Timestamp age = curTS - ap.getTimestamp();
// if(curTS.ms() > 460000 && curTS.ms() < 540000){
// return 1.0;
// }
const float sigma = 11.0 + 1.2 * age.sec() + rssiSigma(scanRSSI);
double apProb = Distribution::Normal<double>::getProbability(modelRSSI, sigma, scanRSSI);

View File

@@ -111,7 +111,7 @@ struct Data {
DataSetup CAR = {
mapDir + "CAR/CAR9.xml",
mapDir + "CAR/CAR11.xml",
{
dataDir + "car/logfile_CAR_R1_S3.txt",
@@ -134,7 +134,7 @@ struct Data {
DataSetup UAH = {
mapDir + "UAH/UAH13_rawObstacles.xml",
mapDir + "UAH/UAH9.xml",
{
dataDir + "uah/logfile_UAH_R1_S3.txt",
@@ -161,7 +161,7 @@ struct Data {
DataSetup UJI_TI = {
mapDir + "UJI-TI/UJI-TI4.xml",
mapDir + "UJI-TI/UJI-TI5.xml",
{
dataDir + "uji-ti/logfile_UJITI_R1_NEXUS5.txt",
@@ -300,23 +300,23 @@ void run(DataSetup setup, int numFile, std::string folder) {
// // build the grid
Grid<MyNode> grid(20);
// GridFactory<MyNode> factory(grid);
// factory.build(map);
GridFactory<MyNode> factory(grid);
factory.build(map);
// std::filebuf fb;
// fb.open (dataDir + "uah/grid13",std::ios::out);
// fb.open (dataDir + "car/grid10",std::ios::out);
// std::ostream os(&fb);
// grid.write(os);
// fb.close();
std::filebuf fb;
if (fb.open (dataDir + "uah/grid13",std::ios::in))
{
std::istream is(&fb);
grid.read(is);
}
fb.close();
// std::filebuf fb;
// if (fb.open (dataDir + "car/grid10",std::ios::in))
// {
// std::istream is(&fb);
// grid.read(is);
// }
// fb.close();
Importance::addImportance(grid);
@@ -367,8 +367,8 @@ void run(DataSetup setup, int numFile, std::string folder) {
pf.setTransition(std::unique_ptr<PFTrans>(new PFTrans(grid, &ctrl)));
pf.setEvaluation(std::unique_ptr<PFEval>(eval));
pf.setResampling(std::unique_ptr<K::ParticleFilterResamplingSimple<MyState>>(new K::ParticleFilterResamplingSimple<MyState>()));
//pf.setResampling(std::unique_ptr<K::ParticleFilterResamplingPercent<MyState>>(new K::ParticleFilterResamplingPercent<MyState>(0.04)));
//pf.setResampling(std::unique_ptr<K::ParticleFilterResamplingSimple<MyState>>(new K::ParticleFilterResamplingSimple<MyState>()));
pf.setResampling(std::unique_ptr<K::ParticleFilterResamplingPercent<MyState>>(new K::ParticleFilterResamplingPercent<MyState>(0.04)));
pf.setNEffThreshold(0.5);
//pf.setEstimation(std::unique_ptr<K::ParticleFilterEstimationWeightedAverage<MyState>>(new K::ParticleFilterEstimationWeightedAverage<MyState>()));
@@ -440,6 +440,8 @@ void run(DataSetup setup, int numFile, std::string folder) {
std::ofstream errorFileSmoothing;
errorFileSmoothing.open ("/home/toni/Documents/programme/localization/IPIN2016/competition/eval/"+ folder + "/errorSmoothing_" + std::to_string(numFile) + "_" + std::to_string(t) + ".csv");
std::ofstream baro;
baro.open("/tmp/bar2.dat");
MovingAVG<float> hPaRef(20);
MovingAVG<float> hPaCur(5);
@@ -480,6 +482,9 @@ void run(DataSetup setup, int numFile, std::string folder) {
relBaro.add(ts, fr.getBarometer()[e.idx].data);
//baroTend.add(ts, fr.getBarometer()[e.idx].data);
//std::cout << "add tendence" << std::endl;
baro << ms << " " << fr.getBarometer()[e.idx].data.hPa << "\n";
ctrl.barometer.hPaRelativeToT0 = relBaro.getPressureRealtiveToStart();
ctrl.barometer.estimatedSigma = relBaro.getSigma();
ctrl.barometer.tendence = baroTend.get();
@@ -522,6 +527,15 @@ void run(DataSetup setup, int numFile, std::string folder) {
}
//testing a dynamical n_eff
if(obs.act != ActivityButterPressure::Activity::STAY){
pf.setNEffThreshold(0.5);
}
else{
pf.setNEffThreshold(1.0);
}
/** baro for eval test */
// hPaHist.push_back(fr.getBarometer()[e.idx].data.hPa);
@@ -594,7 +608,7 @@ void run(DataSetup setup, int numFile, std::string folder) {
plot.setEst(estPos);
plot.setGT(mapPos);
plot.addEstimationNode(estPos);
//plot.addParticles(pf.getParticles());
plot.addParticles(pf.getParticles());
//plot.gp << "set arrow 919 from " << tt.pos.x << "," << tt.pos.y << "," << tt.pos.z << " to "<< tt.pos.x << "," << tt.pos.y << "," << tt.pos.z+1 << "lw 3\n";
//plot.gp << "set label 1001 at screen 0.02, 0.98 'base:" << relBaro.getBaseAvg() << " sigma:" << relBaro.getSigma() << " cur:" << relBaro.getPressureRealtiveToStart() << " hPa " << -relBaro.getPressureRealtiveToStart()/0.10/4.0f << " floor'\n";
@@ -614,7 +628,7 @@ void run(DataSetup setup, int numFile, std::string folder) {
errorFile << err_m << "\n";
plot.show();
usleep(100*100);
usleep(100*10);
lastUpdateMS = ms;
@@ -628,6 +642,7 @@ void run(DataSetup setup, int numFile, std::string folder) {
errorFile.close();
baro.close();
// Smoothing Part starts here
// ========================= //
@@ -716,7 +731,7 @@ void run(DataSetup setup, int numFile, std::string folder) {
int main(int argc, char** argv) {
for(int i = 0; i < 11; ++i){
for(int i = 0; i < 10; ++i){
@@ -744,14 +759,14 @@ int main(int argc, char** argv) {
//Evaluation files
// run(data.UJI_TI, 2, "EVAL"); // 1 no Baro
// run(data.UJI_UB, 5, "EVAL"); // 2
run(data.UAH, 6, "EVAL"); // 3
run(data.UJI_UB, 5, "EVAL"); // 2
// run(data.UAH, 6, "EVAL"); // 3
// run(data.UJI_TI, 3, "EVAL"); // 4 no Baro
// run(data.UAH, 7, "EVAL"); // 5
// run(data.CAR, 4, "EVAL"); // 6
// run(data.UAH, 8, "EVAL"); // 7
// run(data.UAH, 9, "EVAL"); // 8
// run(data.CAR, 5, "EVAL2"); // 9
// run(data.CAR, 5, "EVAL"); // 9
}

View File

@@ -273,7 +273,7 @@
<door material="2" type="1" x1="35.400002" y1="3" x2="35.400002" y2="1.8000001" height="2.0999999" swap="0"/>
</obstacles>
<underlays>
<underlay x="-0" y="0" sx="0.052076001" sy="0.052076001" name="" file="/mnt/data/workspaces/IPIN2016/IPIN2016/competition/maps/CAR/CAR.jpg"/>
<underlay x="-0" y="0" sx="0.052076001" sy="0.052076001" name="" file="/home/toni/Documents/programme/localization/IPIN2016/competition/logfiles/car/CAR.jpg"/>
</underlays>
<pois/>
<accesspoints/>

View File

@@ -137,6 +137,20 @@
<part connect="0" x1="108.3" y1="104.1" z1="2" x2="110.4" y2="102" z2="2" w="1.1"/>
<part connect="0" x1="110.4" y1="102.8" z1="2" x2="112.2" y2="104.6" z2="4" w="1.1"/>
</stair>
<stair type="0">
<part connect="0" x1="108.18" y1="24.4" z1="0" x2="108.2" y2="22" z2="1.2" w="1.7"/>
<part connect="0" x1="107.38" y1="21.359999" z1="1.2" x2="109.04" y2="21.379999" z2="1.2" w="1.3"/>
<part connect="0" x1="109.07999" y1="21.379999" z1="1.2" x2="111.1" y2="21.4" z2="2.7" w="1.3"/>
<part connect="0" x1="111.74" y1="20.74" z1="2.7" x2="111.74" y2="22.02" z2="2.7" w="1.3"/>
<part connect="0" x1="111.72" y1="22.02" z1="2.7" x2="111.7" y2="24.300001" z2="4" w="1.3"/>
</stair>
<stair type="0">
<part connect="0" x1="117.6" y1="30.300001" z1="0" x2="119.9" y2="30.300001" z2="1.3" w="1.7"/>
<part connect="0" x1="119.9" y1="30.300001" z1="1.3" x2="121.6" y2="30.300001" z2="1.3" w="1.7"/>
<part connect="0" x1="120.74" y1="31.16" z1="1.3" x2="120.74" y2="33" z2="2.7" w="1.7"/>
<part connect="0" x1="120.75999" y1="33" z1="2.7" x2="120.74" y2="34.66" z2="2.7" w="1.7"/>
<part connect="0" x1="119.9" y1="33.799999" z1="2.7" x2="117.6" y2="33.799999" z2="4" w="1.7"/>
</stair>
</stairs>
<elevators>
<elevator cx="40.200001" cy="73.5" width="2.3" depth="2" rotation="1.5707964"/>
@@ -282,6 +296,20 @@
<part connect="0" x1="108.3" y1="104.1" z1="2" x2="110.4" y2="102" z2="2" w="1.1"/>
<part connect="0" x1="110.4" y1="102.8" z1="2" x2="112.2" y2="104.6" z2="4" w="1.1"/>
</stair>
<stair type="0">
<part connect="0" x1="108.18" y1="24.4" z1="0" x2="108.2" y2="22" z2="1.2" w="1.7"/>
<part connect="0" x1="107.38" y1="21.359999" z1="1.2" x2="109.04" y2="21.379999" z2="1.2" w="1.3"/>
<part connect="0" x1="109.07999" y1="21.379999" z1="1.2" x2="111.1" y2="21.4" z2="2.7" w="1.3"/>
<part connect="0" x1="111.74" y1="20.74" z1="2.7" x2="111.74" y2="22.02" z2="2.7" w="1.3"/>
<part connect="0" x1="111.72" y1="22.02" z1="2.7" x2="111.7" y2="24.300001" z2="4" w="1.3"/>
</stair>
<stair type="0">
<part connect="0" x1="117.6" y1="30.300001" z1="0" x2="119.9" y2="30.300001" z2="1.3" w="1.7"/>
<part connect="0" x1="119.9" y1="30.300001" z1="1.3" x2="121.6" y2="30.300001" z2="1.3" w="1.7"/>
<part connect="0" x1="120.74" y1="31.16" z1="1.3" x2="120.74" y2="33" z2="2.7" w="1.7"/>
<part connect="0" x1="120.75999" y1="33" z1="2.7" x2="120.74" y2="34.66" z2="2.7" w="1.7"/>
<part connect="0" x1="119.9" y1="33.799999" z1="2.7" x2="117.6" y2="33.799999" z2="4" w="1.7"/>
</stair>
</stairs>
<elevators>
<elevator cx="40.200001" cy="73.5" width="2.3" depth="2" rotation="1.5707964"/>
@@ -427,6 +455,20 @@
<part connect="0" x1="108.3" y1="104.1" z1="2" x2="110.4" y2="102" z2="2" w="1.1"/>
<part connect="0" x1="110.4" y1="102.8" z1="2" x2="112.2" y2="104.6" z2="4" w="1.1"/>
</stair>
<stair type="0">
<part connect="0" x1="108.18" y1="24.4" z1="0" x2="108.2" y2="22" z2="1.2" w="1.7"/>
<part connect="0" x1="107.38" y1="21.359999" z1="1.2" x2="109.04" y2="21.379999" z2="1.2" w="1.3"/>
<part connect="0" x1="109.07999" y1="21.379999" z1="1.2" x2="111.1" y2="21.4" z2="2.7" w="1.3"/>
<part connect="0" x1="111.74" y1="20.74" z1="2.7" x2="111.74" y2="22.02" z2="2.7" w="1.3"/>
<part connect="0" x1="111.72" y1="22.02" z1="2.7" x2="111.7" y2="24.300001" z2="4" w="1.3"/>
</stair>
<stair type="0">
<part connect="0" x1="117.6" y1="30.300001" z1="0" x2="119.9" y2="30.300001" z2="1.3" w="1.7"/>
<part connect="0" x1="119.9" y1="30.300001" z1="1.3" x2="121.6" y2="30.300001" z2="1.3" w="1.7"/>
<part connect="0" x1="120.74" y1="31.16" z1="1.3" x2="120.74" y2="33" z2="2.7" w="1.7"/>
<part connect="0" x1="120.75999" y1="33" z1="2.7" x2="120.74" y2="34.66" z2="2.7" w="1.7"/>
<part connect="0" x1="119.9" y1="33.799999" z1="2.7" x2="117.6" y2="33.799999" z2="4" w="1.7"/>
</stair>
</stairs>
<elevators>
<elevator cx="40.200001" cy="73.5" width="2.3" depth="2" rotation="1.5707964"/>

View File

@@ -40,7 +40,7 @@
</outline>
<obstacles/>
<underlays>
<underlay x="-0" y="0" sx="0.085564934" sy="0.085564934" name="" file="/mnt/data/workspaces/IPIN2016/IPIN2016/competition/maps/UJI-TI/UJITI_N1.jpg"/>
<underlay x="-0" y="0" sx="0.085564934" sy="0.085564934" name="" file="/home/toni/Documents/programme/localization/IPIN2016/competition/src/competition/map/UJI-TI/UJITI_N1.jpg"/>
</underlays>
<pois/>
<accesspoints/>
@@ -113,7 +113,7 @@
</outline>
<obstacles/>
<underlays>
<underlay x="0" y="0" sx="0.085564934" sy="0.085564934" name="" file="/mnt/data/workspaces/IPIN2016/IPIN2016/competition/maps/UJI-TI/UJITI_N2.jpg"/>
<underlay x="0" y="0" sx="0.085564934" sy="0.085564934" name="" file="/home/toni/Documents/programme/localization/IPIN2016/competition/src/competition/map/UJI-TI/UJITI_N2.jpg"/>
</underlays>
<pois/>
<accesspoints/>
@@ -187,7 +187,7 @@
</outline>
<obstacles/>
<underlays>
<underlay x="0" y="0" sx="0.085564934" sy="0.085564934" name="" file="/mnt/data/workspaces/IPIN2016/IPIN2016/competition/maps/UJI-TI/UJITI_N3.jpg"/>
<underlay x="0" y="0" sx="0.085564934" sy="0.085564934" name="" file="/home/toni/Documents/programme/localization/IPIN2016/competition/src/competition/map/UJI-TI/UJITI_N3.jpg"/>
</underlays>
<pois/>
<accesspoints/>

View File

@@ -0,0 +1,129 @@
%%
%% This is file `beamercolorthememetropolis.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% beamercolorthememetropolis.dtx (with options: `package')
%% ---------------------------------------------------------------------------
%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of
%% contributors can be found at
%%
%% https://github.com/matze/mtheme/graphs/contributors
%%
%% and the original template was based on the HSRM theme by Benjamin Weiss.
%%
%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0
%% International License (https://creativecommons.org/licenses/by-sa/4.0/).
%% ---------------------------------------------------------------------------
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{beamercolorthememetropolis}
[2015/06/12 A Modern Beamer Color Theme]
\RequirePackage{pgfopts}
\pgfkeys{
/metropolis/color/block/.cd,
.is choice,
transparent/.code=\@metropolis@block@transparent,
fill/.code=\@metropolis@block@fill,
}
\pgfkeys{
/metropolis/color/background/.cd,
.is choice,
dark/.code=\@metropolis@colors@dark,
light/.code=\@metropolis@colors@light,
}
\newcommand{\@metropolis@color@setdefaults}{
\pgfkeys{/metropolis/color/.cd,
background=light,
block=transparent,
}
}
\definecolor{mDarkBrown}{HTML}{604c38}
\definecolor{mDarkTeal}{HTML}{23373b}
\definecolor{mLightBrown}{HTML}{EB811B}
\definecolor{mLightGreen}{HTML}{14B03D}
\newcommand{\@metropolis@colors@dark}{
\setbeamercolor{normal text}{%
fg=black!2,
bg=mDarkTeal
}
}
\newcommand{\@metropolis@colors@light}{
\setbeamercolor{normal text}{%
fg=mDarkTeal,
bg=black!2
}
}
\setbeamercolor{alerted text}{%
fg=mLightBrown
}
\setbeamercolor{example text}{%
fg=mLightGreen
}
\setbeamercolor{titlelike}{%
use=normal text,
parent=normal text
}
\setbeamercolor{structure}{%
fg=normal text.fg
}
\setbeamercolor{palette primary}{%
use=normal text,
fg=normal text.bg,
bg=normal text.fg
}
\setbeamercolor{frametitle}{%
use=palette primary,
parent=palette primary
}
\setbeamercolor{progress bar}{%
use=alerted text,
fg=alerted text.fg,
bg=normal text.bg!50!normal text.fg
}
\setbeamercolor{title separator}{
use=progress bar,
parent=progress bar
}
\setbeamercolor{progress bar in head/foot}{%
use=progress bar,
parent=progress bar
}
\setbeamercolor{progress bar in section page}{
use=progress bar,
parent=progress bar
}
\newcommand{\@metropolis@block@transparent}{
\setbeamercolor{block title}{use=normal text, parent=normal text}
}
\newcommand{\@metropolis@block@fill}{
\setbeamercolor{block title}{%
use=normal text,
fg=normal text.fg,
bg=normal text.bg!80!fg
}
}
\setbeamercolor{block title alerted}{%
use={block title, alerted text},
bg=block title.bg,
fg=alerted text.fg
}
\setbeamercolor{block title example}{%
use={block title, example text},
bg=block title.bg,
fg=example text.fg
}
\setbeamercolor{block body alerted}{use=block body, parent=block body}
\setbeamercolor{block body example}{use=block body, parent=block body}
\setbeamercolor{block body}{
use={block title, normal text},
bg=block title.bg!50!normal text.bg
}
\setbeamercolor{footnote}{fg=normal text.fg!90}
\setbeamercolor{footnote mark}{fg=.}
\@metropolis@color@setdefaults
\ProcessPgfPackageOptions{/metropolis/color}
\mode<all>
\endinput
%%
%% End of file `beamercolorthememetropolis.sty'.

View File

@@ -0,0 +1,56 @@
%%
%% This is file `beamerfontthememetropolis.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% beamerfontthememetropolis.dtx (with options: `package')
%% ---------------------------------------------------------------------------
%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of
%% contributors can be found at
%%
%% https://github.com/matze/mtheme/graphs/contributors
%%
%% and the original template was based on the HSRM theme by Benjamin Weiss.
%%
%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0
%% International License (https://creativecommons.org/licenses/by-sa/4.0/).
%% ---------------------------------------------------------------------------
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{beamerfontthememetropolis}
[2015/06/12 A Modern Beamer Font Theme]
\RequirePackage[no-math]{fontspec}
\defaultfontfeatures{Mapping=tex-text}
\setsansfont[BoldItalicFont={Fira Sans Italic},%
ItalicFont={Fira Sans Light Italic},%
BoldFont={Fira Sans}]{Fira Sans Light}
\setmonofont{Fira Mono}
\newfontfamily\ExtraLight{Fira Sans ExtraLight}
\newfontfamily\Light{Fira Sans Light}
\newfontfamily\Book{Fira Sans}
\newfontfamily\Medium{Fira Sans Medium}
\AtBeginEnvironment{tabular}{%
\setsansfont[BoldFont={Fira Sans},%
Numbers={Monospaced}]{Fira Sans Light}%
}
\setbeamerfont{title}{family=\Book, size=\Large, shape=\scshape}
\setbeamerfont{author}{family=\ExtraLight, size=\small}
\setbeamerfont{date}{family=\ExtraLight, size=\small}
\setbeamerfont{section title}{family=\Book, size=\Large, shape=\scshape}
\setbeamerfont{block title}{family=\Book, size=\normalsize}
\setbeamerfont{block title alerted}{family=\Book,size=\normalsize}
\setbeamerfont{subtitle}{family=\Light, size=\fontsize{12}{14}}
\setbeamerfont{frametitle}{family=\Book, size=\large, shape=\scshape}
\setbeamerfont{caption}{size=\small}
\setbeamerfont{caption name}{family=\Book}
\setbeamerfont{description item}{family=\Book}
\setbeamerfont{page number in head/foot}{size=\scriptsize}
\setbeamerfont{bibliography entry author}{family=\Light, size=\normalsize}
\setbeamerfont{bibliography entry title}{family=\Book, size=\normalsize}
\setbeamerfont{bibliography entry location}{family=\Light, size=\normalsize}
\setbeamerfont{bibliography entry note}{family=\Light, size=\small}
\linespread{1.15}
\endinput
%%
%% End of file `beamerfontthememetropolis.sty'.

View File

@@ -0,0 +1,274 @@
%%
%% This is file `beamerinnerthememetropolis.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% beamerinnerthememetropolis.dtx (with options: `package')
%% ---------------------------------------------------------------------------
%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of
%% contributors can be found at
%%
%% https://github.com/matze/mtheme/graphs/contributors
%%
%% and the original template was based on the HSRM theme by Benjamin Weiss.
%%
%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0
%% International License (https://creativecommons.org/licenses/by-sa/4.0/).
%% ---------------------------------------------------------------------------
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{beamerinnerthememetropolis}
[2015/06/12 A Modern Beamer Theme]
\RequirePackage{etoolbox}
\RequirePackage{calc}
\RequirePackage{pgfopts}
\RequirePackage{tikz}
\pgfkeys{
/metropolis/inner/block/.cd,
.is choice,
transparent/.code=\setlength{\@metropolis@blockskip}{0ex},
fill/.code=\setlength{\@metropolis@blockskip}{1ex},
}
\pgfkeys{
/metropolis/inner/titleformat/.cd,
.is choice,
regular/.code=\renewcommand{\@metropolis@titleformat}{},
lowercase/.code={%
\renewcommand{\@metropolis@titleformat}{\MakeLowercase}
},
uppercase/.code={%
\renewcommand{\@metropolis@titleformat}{\MakeUppercase}
},
}
\pgfkeys{
/metropolis/inner/sectiontitleformat/.cd,
.is choice,
regular/.code=\renewcommand{\@metropolis@sectiontitleformat}{},
lowercase/.code={%
\renewcommand{\@metropolis@sectiontitleformat}{\MakeLowercase}
},
uppercase/.code={%
\renewcommand{\@metropolis@sectiontitleformat}{\MakeUppercase}
},
}
\pgfkeys{
/metropolis/inner/sectionpage/.cd,
.is choice,
none/.code=\@metropolis@sectionpage@none,
progressbar/.code=\@metropolis@sectionpage@progressbar,
}
\newcommand{\@metropolis@inner@setdefaults}{
\pgfkeys{/metropolis/inner/.cd,
sectionpage=progressbar,
block=transparent,
titleformat=lowercase,
sectiontitleformat=lowercase,
}
}
\def\@metropolis@titleformat#1{#1}
\def\@metropolis@sectiontitleformat#1{#1}
\patchcmd{\sectionentry}
{\def\insertsectionhead{#2}}
{\def\insertsectionhead{\@metropolis@sectiontitleformat{#2}}}
{}
{\PackageError{beamerinnerthememetropolis}{Patching section title failed.}}
\patchcmd{\beamer@section}
{\def\insertsectionhead{\hyperlink{Navigation\the\c@page}{#1}}}
{\def\insertsectionhead{\hyperlink{Navigation\the\c@page}{\@metropolis@sectiontitleformat{#1}}}}
{}
{\PackageError{beamerinnerthememetropolis}{Patching section title failed.}}
\setbeamertemplate{title page}{
\begin{minipage}[b][\paperheight]{\textwidth}
\ifx\inserttitlegraphic\@empty\else{%
\vbox to 0pt {
\vspace*{2em}
\usebeamercolor[fg]{titlegraphic}%
\inserttitlegraphic%
}%
\nointerlineskip%
}
\fi
\vfill%
\ifx\inserttitle\@empty\else{{%
\raggedright%
\linespread{1.0}%
\usebeamerfont{title}%
\usebeamercolor[fg]{title}%
\@metropolis@titleformat{\inserttitle}%
\par%
\vspace*{0.5em}
}}
\fi
\ifx\insertsubtitle\@empty\else{{%
\usebeamerfont{subtitle}%
\usebeamercolor[fg]{subtitle}%
\insertsubtitle%
\par%
\vspace*{0.5em}
}}
\fi
\begin{tikzpicture}
\usebeamercolor{title separator}
\draw[fg] (0, 0) -- (\textwidth, 0);
\end{tikzpicture}%
\par%
\vspace*{1em}%
\ifx\beamer@shortauthor\@empty\else{{%
\usebeamerfont{author}%
\usebeamercolor[fg]{author}%
\insertauthor%
\par%
\vspace*{0.25em}
}}
\fi
\ifx\insertdate\@empty\else{{%
\usebeamerfont{date}%
\usebeamercolor[fg]{date}%
\insertdate%
\par%
}}
\fi
\ifx\insertinstitute\@empty\else{{%
\vspace*{3mm}
\usebeamerfont{institute}%
\usebeamercolor[fg]{institute}%
\insertinstitute%
\par%
}}
\fi
\vfill
\vspace*{1mm}
\end{minipage}
}
\def\maketitle{%
\ifbeamer@inframe
\titlepage
\else
\frame[plain]{\titlepage}
\fi
}
\def\titlepage{%
\usebeamertemplate{title page}
}
\newcommand{\@metropolis@sectionpage@none}{
\AtBeginSection{
% intenionally empty
}
}
\defbeamertemplate{section page}{progressbar}{
\centering
\begin{minipage}{22em}
\usebeamercolor[fg]{section title}
\usebeamerfont{section title}
\insertsectionhead\\[-1ex]
\usebeamertemplate*{progress bar in section page}
\end{minipage}
\par
}
\newcommand{\@metropolis@sectionpage@progressbar}{
\setbeamertemplate{section page}[progressbar]
\AtBeginSection{
\ifbeamer@inframe
\sectionpage
\else
\frame[plain,c]{\sectionpage}
\fi
}
}
\newlength{\metropolis@progressonsectionpage}
\setbeamertemplate{progress bar in section page}{
\setlength{\metropolis@progressonsectionpage}{%
\textwidth * \ratio{\insertframenumber pt}{\inserttotalframenumber pt}%
}%
\begin{tikzpicture}
\draw[bg, fill=bg] (0,0) rectangle (\textwidth, 0.4pt);
\draw[fg, fill=fg] (0,0) rectangle (\metropolis@progressonsectionpage, 0.4pt);
\end{tikzpicture}%
}
\def\inserttotalframenumber{100}
\newlength{\@metropolis@blockskip}
\setbeamertemplate{block begin}{%
\vspace*{1ex}
\begin{beamercolorbox}[%
ht=2.4ex,
dp=1ex,
leftskip=\@metropolis@blockskip,
rightskip=\@metropolis@blockskip]{block title}
\usebeamerfont*{block title}\insertblocktitle%
\end{beamercolorbox}%
\vspace*{-1pt}
\usebeamerfont{block body}%
\begin{beamercolorbox}[%
dp=1ex,
leftskip=\@metropolis@blockskip,
rightskip=\@metropolis@blockskip,
vmode]{block body}%
}
\setbeamertemplate{block end}{%
\end{beamercolorbox}
\vspace*{0.2ex}
}
\setbeamertemplate{block alerted begin}{%
\vspace*{1ex}
\begin{beamercolorbox}[%
ht=2.4ex,
dp=1ex,
leftskip=\@metropolis@blockskip,
rightskip=\@metropolis@blockskip]{block title alerted}
\usebeamerfont*{block title alerted}\insertblocktitle%
\end{beamercolorbox}%
\vspace*{-1pt}
\usebeamerfont{block body alerted}%
\begin{beamercolorbox}[%
dp=1ex,
leftskip=\@metropolis@blockskip,
rightskip=\@metropolis@blockskip,
vmode]{block body}%
}
\setbeamertemplate{block alerted end}{%
\end{beamercolorbox}
\vspace*{0.2ex}
}
\setbeamertemplate{block example begin}{%
\vspace*{1ex}
\begin{beamercolorbox}[%
ht=2.4ex,
dp=1ex,
leftskip=\@metropolis@blockskip,
rightskip=\@metropolis@blockskip]{block title example}
\usebeamerfont*{block title example}\insertblocktitle%
\end{beamercolorbox}%
\vspace*{-1pt}
\usebeamerfont{block body example}%
\begin{beamercolorbox}[%
dp=1ex,
leftskip=\@metropolis@blockskip,
rightskip=\@metropolis@blockskip,
vmode]{block body}%
}
\setbeamertemplate{block example end}{%
\end{beamercolorbox}
\vspace*{0.2ex}
}
\setbeamertemplate{itemize items}{\textbullet}
\setbeamertemplate{caption label separator}{: }
\setbeamertemplate{caption}[numbered]
\setbeamertemplate{footnote}{%
\parindent 0em\noindent%
\raggedright
\usebeamercolor{footnote}\hbox to 0.8em{\hfil\insertfootnotemark}\insertfootnotetext\par%
}
\setlength{\parskip}{0.5em}
\linespread{1.15}
\define@key{beamerframe}{c}[true]{% centered
\beamer@frametopskip=0pt plus 1fill\relax%
\beamer@framebottomskip=0pt plus 1fill\relax%
\beamer@frametopskipautobreak=0pt plus .4\paperheight\relax%
\beamer@framebottomskipautobreak=0pt plus .6\paperheight\relax%
\def\beamer@initfirstlineunskip{}%
}
\@metropolis@inner@setdefaults
\ProcessPgfPackageOptions{/metropolis/inner}
\endinput
%%
%% End of file `beamerinnerthememetropolis.sty'.

View File

@@ -0,0 +1,134 @@
%%
%% This is file `beamerouterthememetropolis.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% beamerouterthememetropolis.dtx (with options: `package')
%% ---------------------------------------------------------------------------
%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of
%% contributors can be found at
%%
%% https://github.com/matze/mtheme/graphs/contributors
%%
%% and the original template was based on the HSRM theme by Benjamin Weiss.
%%
%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0
%% International License (https://creativecommons.org/licenses/by-sa/4.0/).
%% ---------------------------------------------------------------------------
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{beamerouterthememetropolis}
[2015/06/12 A Modern Beamer Theme]
\RequirePackage{etoolbox}
\RequirePackage{calc}
\RequirePackage{pgfopts}
\pgfkeys{
/metropolis/outer/numbering/.cd,
.is choice,
none/.code=\setbeamertemplate{frame numbering}[none],
counter/.code=\setbeamertemplate{frame numbering}[counter],
fraction/.code=\setbeamertemplate{frame numbering}[fraction],
}
\pgfkeys{
/metropolis/outer/progressbar/.cd,
.is choice,
none/.code={%
\setbeamertemplate{headline}[plain]
\setbeamertemplate{frametitle}[plain]
\setbeamertemplate{footline}[plain]
},
head/.code={\pgfkeys{/metropolis/outer/progressbar=none}
\addtobeamertemplate{headline}{}{\usebeamertemplate*{progress bar in head/foot}}
},
frametitle/.code={\pgfkeys{/metropolis/outer/progressbar=none}
\addtobeamertemplate{frametitle}{}{\usebeamertemplate*{progress bar in head/foot}}
},
foot/.code={\pgfkeys{/metropolis/outer/progressbar=none}
\addtobeamertemplate{footline}{}{\usebeamertemplate*{progress bar in head/foot}}
},
}
\pgfkeys{
/metropolis/outer/frametitleformat/.cd,
.is choice,
regular/.code={%
\renewcommand{\@metropolis@frametitleformat}{}%
\renewcommand{\@metropolis@frametitlestrut}{%
\rule{0pt}{\heightof{ABCDEFGHIJKLMNOPQRSTUVWXYZ}}
}
},
lowercase/.code={%
\renewcommand{\@metropolis@frametitleformat}{\MakeLowercase}%
\renewcommand{\@metropolis@frametitlestrut}{%
\rule{0pt}{\heightof{abcdefghijklmnopqrstuvwxyz}}
}
},
uppercase/.code={%
\renewcommand{\@metropolis@frametitleformat}{\MakeUppercase}%
\renewcommand{\@metropolis@frametitlestrut}{%
\rule{0pt}{\heightof{ABCDEFGHIJKLMNOPQRSTUVWXYZ}}
}
},
}
\newcommand{\@metropolis@outer@setdefaults}{
\pgfkeys{/metropolis/outer/.cd,
numbering=counter,
progressbar=none,
frametitleformat=lowercase,
}
}
\setbeamertemplate{navigation symbols}{}
\defbeamertemplate{frame numbering}{none}{}
\defbeamertemplate{frame numbering}{counter}{\insertframenumber}
\defbeamertemplate{frame numbering}{fraction}{
\insertframenumber/\inserttotalframenumber
}
\defbeamertemplate{headline}{plain}{}
\defbeamertemplate{footline}{plain}{%
\begin{beamercolorbox}[wd=\textwidth, sep=3ex]{footline}%
\hfill%
\usebeamerfont{page number in head/foot}%
\usebeamertemplate*{frame numbering}
\end{beamercolorbox}%
}
\def\@metropolis@frametitleformat#1{#1}
\patchcmd{\beamer@@frametitle}
{\beamer@ifempty{#2}{}{%
\gdef\insertframetitle{{#2\ifnum\beamer@autobreakcount>0\relax{}\space\usebeamertemplate*{frametitle continuation}\fi}}%
\gdef\beamer@frametitle{#2}%
\gdef\beamer@shortframetitle{#1}%
}}
{\beamer@ifempty{#2}{}{%
\gdef\insertframetitle{{\@metropolis@frametitleformat{#2}\ifnum\beamer@autobreakcount>0\relax{}\space\usebeamertemplate*{frametitle continuation}\fi}}%
\gdef\beamer@frametitle{#2}%
\gdef\beamer@shortframetitle{#1}%
}}
{}
{\PackageError{beamerouterthememetropolis}{Patching frame title failed.}}
\newlength{\@metropolis@frametitlestrut}
\defbeamertemplate{frametitle}{plain}{%
\nointerlineskip%
\begin{beamercolorbox}[%
wd=\paperwidth,%
sep=1.5ex,%
]{frametitle}%
\@metropolis@frametitlestrut\insertframetitle\@metropolis@frametitlestrut%
\end{beamercolorbox}%
}
\newlength{\metropolis@progressinheadfoot}
\setbeamertemplate{progress bar in head/foot}{
\nointerlineskip
\setlength{\metropolis@progressinheadfoot}{%
\paperwidth * \ratio{\insertframenumber pt}{\inserttotalframenumber pt}%
}%
\begin{beamercolorbox}[wd=\paperwidth]{progress bar in head/foot}
\begin{tikzpicture}
\draw[bg, fill=bg] (0,0) rectangle (\paperwidth, 0.4pt);
\draw[fg, fill=fg] (0,0) rectangle (\metropolis@progressinheadfoot, 0.4pt);
\end{tikzpicture}%
\end{beamercolorbox}
}
\@metropolis@outer@setdefaults
\ProcessPgfPackageOptions{/metropolis/outer}
\endinput
%%
%% End of file `beamerouterthememetropolis.sty'.

View File

@@ -0,0 +1,106 @@
%%
%% This is file `beamerthemem.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% beamerthemem.dtx (with options: `package')
%% ---------------------------------------------------------------------------
%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of
%% contributors can be found at
%%
%% https://github.com/matze/mtheme/graphs/contributors
%%
%% and the original template was based on the HSRM theme by Benjamin Weiss.
%%
%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0
%% International License (https://creativecommons.org/licenses/by-sa/4.0/).
%% ---------------------------------------------------------------------------
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{beamerthemem}
[2015/06/12 A Modern Beamer Theme]
\RequirePackage{etoolbox}
\RequirePackage{pgfopts}
\RequirePackage{ifxetex}
\RequirePackage{ifluatex}
\newcommand{\metroset}[1]{\pgfkeys{/metropolis/.cd,#1}}
\pgfkeys{/metropolis/.cd,
.search also={
/metropolis/inner,
/metropolis/outer,
/metropolis/color,
},
block/.code=\pgfkeysalso{
inner/block=#1,
color/block=#1,
},
}
\pgfkeys{
/metropolis/plaintitleformat/.cd,
.is choice,
regular/.code=\renewcommand{\@metropolis@plaintitleformat}{#1},
lowercase/.code={%
\renewcommand{\@metropolis@plaintitleformat}{\MakeLowercase{#1}}
},
uppercase/.code={%
\renewcommand{\@metropolis@plaintitleformat}{\MakeUppercase{#1}}
},
}
\pgfkeys{
/metropolis/everytitleformat/.code=\pgfkeysalso{
inner/titleformat=#1,
inner/sectiontitleformat=#1,
outer/frametitleformat=#1,
plaintitleformat=#1,
}
}
\pgfkeys{/metropolis/.cd,
usetitleprogressbar/.code=\pgfkeysalso{outer/progressbar=frametitle},
noslidenumbers/.code=\pgfkeysalso{outer/numbering=none},
usetotalslideindicator/.code=\pgfkeysalso{outer/numbering=fraction},
nosectionslide/.code=\pgfkeysalso{inner/sectionpage=none},
darkcolors/.code=\pgfkeysalso{color/background=dark},
blockbg/.code=\pgfkeysalso{color/block=fill, inner/block=fill},
}
\newcommand{\@metropolis@setdefaults}{
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You need to compile with XeLaTeX or LuaLaTeX to use the Fira fonts.
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%% End of file `beamerthemem.sty'.

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@article{Knuth92,
author = "D.E. Knuth",
title = "Two notes on notation",
journal = "Amer. Math. Monthly",
volume = "99",
year = "1992",
pages = "403--422",
}
@book{ConcreteMath,
author = "R.L. Graham and D.E. Knuth and O. Patashnik",
title = "Concrete mathematics",
publisher = "Addison-Wesley",
address = "Reading, MA",
year = "1989"
}
@unpublished{Simpson,
author = "H. Simpson",
title = "Proof of the {R}iemann {H}ypothesis",
note = "preprint (2003), available at
\texttt{http://www.math.drofnats.edu/riemann.ps}",
year = "2003"
}
@incollection{Er01,
author = "P. Erd{\H o}s",
title = "A selection of problems and results in combinatorics",
booktitle = "Recent trends in combinatorics (Matrahaza, 1995)",
publisher = "Cambridge Univ. Press",
address = "Cambridge",
pages = "1--6",
year = "1995"
}
@article{greenwade93,
author = "George D. Greenwade",
title = "The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})",
year = "1993",
journal = "TUGBoat",
volume = "14",
number = "3",
pages = "342--351"
}

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\documentclass[10pt]{beamer}
\usetheme[everytitleformat=regular]{m}
\usepackage[percent]{overpic}
\usepackage{booktabs}
\usepackage[scale=2]{ccicons}
\usepackage[outdir=./gfx/]{epstopdf}
\usepackage{pgfplots}
\usepackage{multimedia}
\usepackage{graphicx}
\usepackage{epsfig}
\usepackage{psfrag}
\usepackage{color}
\usepackage{caption}
\usepackage{transparent}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{algorithm}
\usepackage{algpseudocode}
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\usepackage{amsmath}
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\newcommand{\mat}[1]{\boldsymbol{#1}}
%\renewcommand{\hat}[1]{\oldhat{\mathbf{#1}}}
\newcommand{\SI}[2]{\ensuremath{#1}\text{\,#2}}
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\newcommand{\cm}{cm}
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\newcommand{\dBm}{dBm}
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\newcommand{\dB}{dB}
\newcommand{\degree}{\ensuremath{^{\circ}}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\NDist}{\mathcal{N}}
\newcommand{\UDist}{\mathcal{U}}
\newcommand{\qTurn}{\theta}
\newcommand{\qBaro}{\hat\rho_{\text{rel}}}
\newcommand{\oWifi}{s_{\text{wifi}}}
\newcommand{\oBeacons}{s_{\text{beacons}}}
\newcommand{\oStep}{n_\text{step}}
\newcommand{\oTurn}{\Delta\theta}
\newcommand{\oBaro}{\rho_{\text{rel}}}
\newcommand{\ispace}{\vspace{2mm}}
\newcommand{\vecB}[2]{\begin{pmatrix} #1\\ #2 \end{pmatrix}}
\newcommand{\matD}[4]{\begin{bmatrix} #1 & #2 \\ #3 & #4 \end{bmatrix}}
\title{On Monte Carlo Smoothing in Multi Sensor Indoor Localisation}
\date{\today}
\newcommand{\insertmail}{toni.fetzer@fhws.de}
\author{T. Fetzer$^\star$, F. Ebner$^\star$, F. Deinzer$^\star$, L. K\"oping$^\dagger$, M. Grzegorzek$^\dagger$}
\date{\today}
\institute{ $^\star$ University of Applied Sciences W\"urzburg - Schweinfurt \\
$^\dagger$ University of Siegen - Pattern Recognition Group}
%\input{misc/keywords}
%\input{misc/functions}
\begin{document}
\maketitle
\begin{frame}
\frametitle{Table of Contents}
\setbeamertemplate{section in toc}[sections numbered]
\tableofcontents[hideallsubsections]
\end{frame}
\section{General Idea \& Motivation}
\begin{frame}[fragile]
\frametitle{Indoor Localisation System}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{gfx/info_graphic}
\end{figure}%
\end{frame}
\begin{frame}[fragile]
\frametitle{Multimodal Distribution}
\begin{figure}
\centering
\def\svgwidth{0.9\columnwidth}
\input{gfx/multimodalpath.eps_tex}
\end{figure}%
\end{frame}
\begin{frame}[fragile]
\frametitle{Research Objectives}
\textbf{Goal:} Provide and discuss Monte-Carlo smoothing methods in the context of indoor localisation.
\newline
\newline
\textbf{General Assumptions:}
\begin{itemize}
\item A time-sequential, non-linear and non-Gaussian state-space
\newline $\rightarrow$ Monte-Carlo methods for approximation
\item A given indoor localisation system based on a statistical sensor fusion
\item No multi-target tracking (more than one person)
\end{itemize}
\end{frame}
%Section: Transition Model
\section{Forward Propagation}
\begin{frame}
\frametitle{Recursive Density Estimation}
\begin{itemize}
\item<1-> Current State\\
$\vec{q} = (x,y,z, \qTurn, \qBaro)^T, \enskip{}
\overbrace{x,y,z \in \R}^{\text{position}}, \enskip
\overbrace{\qTurn \in \R}^{\text{heading}},\enskip{}
\overbrace{\qBaro \in \R}^{\text{rel. pressure}}
$ \\
$\vec{q}_0 = $ uniformly distributed, $\qBaro = 0$
\ispace
\item<2-> Observation\\
$\vec{o} = (\vec{\oWifi}, \vec{\oBeacons}, \oStep, \oTurn, \oBaro, \Omega)$
\ispace
\item<3-> \small$
\underbrace{ p(\vec{q}_t\mid \vec{o}_{1:t})}_{\text{estimation}}
\propto %
\underbrace{ p(\vec{o}_t \mid \vec{q}_t) }_{\text{evaluation}}%
\int
\underbrace{ p(\vec{q}_t \mid \vec{q}_{t-1}, \vec{o}_{t-1}) }_{\text{transition}}%
\underbrace{ p(\vec{q}_{t-1} \mid \vec{o}_{1:t-1})}_{\text{recursion}}%
d\vec{q}_{t-1}%
$
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Observation}
\begin{itemize}
\item<1-> a location's probability based on the current sensor readings
\begin{equation*}
\begin{split}
p(\vec{o}_t \mid \vec{q}_t) =&\\
&p(\vec{o}_t \mid \vec{q}_t)_{\text{wifi}} \\
&p(\vec{o}_t \mid \vec{q}_t)_{\text{beacons}} \\
&p(\vec{o}_t \mid \vec{q}_t)_{\text{baro}} \\
\end{split}
\end{equation*}
\ispace
\item<1-> assuming statistical independence
\item<1-> \textit{step- and turn detection are used within the transition}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Observation - Wi-Fi/iBeacons}
\begin{itemize}
%\only<1>{
\item<1->
$p(\vec{o}_t \mid \vec{q}_t)_\text{wifi}=$
$p(\vec{\oWifi} \mid \vec{q}_t) = \prod_{\oWifi} \NDist(s_i \mid \overbrace{P_r(d_i, \Delta f_i)}^\text{model prediction}, \sigma_{\text{wifi}}^2)$,\\
\ispace
\only<1>{%
\small{\textit{probability to measure all currently received signal-strengths $\vec{\oWifi}$ at a location $\vec{q}_t$, by comparing them with corresponding estimations from a prediction model}}%
%\vspace{2.9cm}%
}
%}
\item<2->
3D signal strength prediction\\\ispace
$
P_r(d,\Delta f) =
\underbrace{P_0}_{\text{reference}}\enskip
\underbrace{- 10 \gamma \cdot \log_{10}(\tfrac{d}{d_0})}_{\text{attenuation per meter}}\enskip
\underbrace{+ \Delta f \lambda}_\text{floor attenuation}
\underbrace{+ X}_{\text{ noise }}
$
%\\\ispace$
% X \sim \NDist(0,\sigma^2_{\text{wifi}}),\enskip
% \underbrace{\Delta f \in \N}_{\text{number of floors}},\enskip
% \underbrace{\lambda \approx -8}_{\text{attenuation per floor}}
%$
%\ispace
\newline
\raisebox{5.0cm}{
%\only<2>{ \vspace{4.0cm} }
\only<3>{ \includegraphics[width = 0.35\textwidth]{gfx/wifi1.png} }%
\only<4->{ \includegraphics[width = 0.35\textwidth]{gfx/wifi2.png} }%
\only<5>{ \includegraphics[width = 0.35\textwidth]{gfx/wifi3.png} }%
\only<6->{ \includegraphics[width = 0.35\textwidth]{gfx/wifi4.png} }%
}
%\vspace{6mm}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Observation - Barometer}
\begin{itemize}
\item<1->
$p(\vec{o}_t \mid \vec{q}_t)_{\text{baro}} = $
$\NDist(o_t^{\oBaro} \mid q_t^{\qBaro}, \sigma_{\text{baro}}^2)$\\
\ispace
\small{\textit{probability to measure the pressure $o_t^{\oBaro}$ (relative to the start) at a location $\vec{q}_t$}, by comparing it with the corresponding prediction}
\item<2->
each transition performs a relative pressure prediction:\\
\ispace
$q_t^{\qBaro} = q_{t-1}^{\qBaro} + \Delta z \cdot b$, \enskip
$\underbrace{\Delta z = q_{t-1}^z - q_{t}^z}_{\text{height change}}$, \enskip
$\underbrace{b \in \R}_{\text{pressure change / meter}}$\\
%
\vspace{5mm}
\begin{figure}
\centering
\includegraphics[width = 0.4\textwidth]{gfx/baroChange}
\end{figure}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Transition - Floorplan}
\only<1>{%
1) start with the building's floorplan\\%
\includegraphics[width = 1.0\textwidth]{gfx/step1}%
}%
\only<2>{%
2) divide into cells and remove those intersecting with walls\\%
\includegraphics[width = 1.0\textwidth]{gfx/step2}%
}%
\only<3>{%
3) add edges to all (available) adjacent cells\\%
\includegraphics[width = 1.0\textwidth]{gfx/step3}%
}%
\only<4>{%
4) add stairs and remove unreachable cells\\%
\includegraphics[width = 1.0\textwidth]{gfx/step4}%
}%
\end{frame}
\newcommand{\leHeading}{\theta_{\text{walk}}}
%\newcommand{\leDistance}{d_{\text{walk}}}
\newcommand{\leDistance}{d}
\begin{frame}
\frametitle{Transition - Random Walk}
\begin{minipage}{0.49\textwidth}
$p(\vec{q}_t \mid \vec{q}_{t-1}, \vec{o}_{t-1})$:
\begin{enumerate}
\item get node $\vec{q}_{t-1}$ belongs to
\item draw distance $\leDistance$ to walk%\\ \textit{depends on the number of detected steps}
\item repeat until $\leDistance$ is reached
\begin{enumerate}
\item draw edge $e_{i,j}$ according to its probability $p(e_{i,j})$
\item walk along the edge
\item $\leDistance = \leDistance - \|e_{i,j}\|$
\end{enumerate}
\end{enumerate}
\end{minipage}
\begin{minipage}{0.49\textwidth}
\begin{figure}
\includegraphics[width = 1.0\textwidth]{gfx/walk}
\end{figure}
\end{minipage}
\end{frame}
\begin{frame}
\frametitle{Transition - Random Walk}
\begin{itemize}
\item<1-> distance to walk\\
\ispace
$%
\leDistance =
\underbrace{{o}_{t-1}^{\oStep}}_\text{steps detected} \cdot
\underbrace{s_\text{step}}_\text{step size} +
\underbrace{\mathcal{N}(0, \sigma^2_{\leDistance})}_\text{uncertainty}
$\newline\newline
\item<2-> pedestrian's heading\\
\ispace
$p(e_{i,j})_\text{turn} = p(e_{i,j} \mid \leHeading) = \NDist(\angle e_{i,j} \mid \leHeading, \sigma^2_{\text{dev}} )$\\
\ispace
$%
\underbrace{\leHeading = {q}_{t}^{\qTurn}}_\text{current heading} =
\underbrace{{q}_{t-1}^{\qTurn}}_\text{previous heading} +
\underbrace{{o}_{t-1}^{\oTurn}}_\text{sensor readings} +
\underbrace{\mathcal{N}(0, \sigma^2_{\leHeading})}_\text{uncertainty}
$\\
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Transition - Activity Recognition}
\begin{itemize}
\item additionally activity detection with\\
\ispace
$\Omega \in \{ \tt{unknown}, \tt{standing}, \tt{walking}, \tt{stairs\_up}, \tt{stairs\_down} \}$\newline
\item edges $e_{i,j}$ matching the currently detected
activity are favoured using $p(e_{i,j})_\text{act} = 0.8$ and $0.2$ otherwise
\end{itemize}
\end{frame}
%Section: Backward Propagation
\section{Backward Propagation}
\begin{frame}[fragile]
\frametitle{Basics of Particle Smoothing}
\begin{figure}
\centering
\def\svgwidth{0.9\columnwidth}
\input{gfx/basicssmoothing.eps_tex}
\end{figure}%
\end{frame}
\begin{frame}[fragile]
\frametitle{Forward-Backward Smoothing}
\begin{algorithm}[H]
\caption{Forward-Backward Smoother}
\label{alg:forward-backwardSmoother}
\begin{algorithmic}[1] % The number tells where the line numbering should start
\Statex{\textbf{Input:} Prior $\mu(\vec{X}^i_1)$}
\Statex{~}
\For{$t = 1$ \textbf{to} $T$} \Comment{Filtering}
\State{Perform particle filtering to obtain the weighted trajectories $ \{ W^i_t, \vec{X}^i_t\}^N_{i=1}$}
\EndFor
\For{ $i = 1$ \textbf{to} $N$} \Comment{Initialization}
\State{Set $W^i_{T \mid T} = W^i_T$}
\EndFor
\For{$t = T-1$ \textbf{to} $1$} \Comment{Smoothing}
\For{$i = 1$ \textbf{to} $N$}
\State{Compute the weights
\fcolorbox{mOrange}{mBGColor}{
$
W^i_{t \mid T} = W^i_t \left[ \sum^N_{j=1} W^j_{t+1 \mid T} \frac{p(\vec{X}^j_{t+1} \mid \vec{X}^i_t)}{\sum^N_{k=1} W^k_t ~ p(\vec{X}^j_{t+1} \mid \vec{X}^k_t)} \right]
$}
}
\EndFor
\EndFor
\end{algorithmic}
\end{algorithm}
\end{frame}
\begin{frame}[fragile]
\frametitle{Backward Simulation}
\begin{algorithm}[H]
\caption{Backward Simulation Smoothing}
\label{alg:backwardSimulation}
\begin{algorithmic}[1] % The number tells where the line numbering should start
\Statex{\textbf{Input:} Prior $\mu(\vec{X}^i_1)$}
\Statex{~}
\For{$t = 1$ \textbf{to} $T$} \Comment{Filtering}
\State{Perform particle filtering to obtain the weighted trajectories $ \{ W^i_t, \vec{X}^i_t\}^N_{i=1}$}
\EndFor
\For{ $k = 1$ \textbf{to} $N_{\text{sample}}$}
\State{Choose $\tilde{\vec{q}}^k_T = \vec{X}^i_T$ with probability $W^i_T$} \Comment{Initialize realization}
\For{$t = T-1$ \textbf{to} $1$} \Comment{Smoothing}
\For{$j = 1$ \textbf{to} $N$}
\State{Compute the weights \fcolorbox{mOrange}{mBGColor}{$W^j_{t \mid t+1} = W^j_t ~ p(\tilde{\vec{q}}_{t+1} \mid \vec{X}^j_{t})$}}
\EndFor
\State{\fcolorbox{mOrange}{mBGColor}{Choose $\tilde{\vec{q}}^k_t = \vec{X}^j_t$ with probability $W^j_{t\mid t+1}$}}
\EndFor
\State{$\tilde{\vec{q}}^k_{1:T} = (\tilde{\vec{q}}^k_1, \tilde{\vec{q}}^k_2, ..., \tilde{\vec{q}}^k_T)$ is one approximate realization from $p(\vec{q}_{1:T} \mid \vec{o}_{1:T})$}
\EndFor
\end{algorithmic}
\end{algorithm}
\end{frame}
\begin{frame}[fragile]
\frametitle{Backward Transition}
\begin{columns}[T,onlytextwidth]
\column{0.55\textwidth}
Very simple model for calculating the state transition $p(q_{t+1} \mid q_{t})$:
\begin{itemize}
\setlength{\itemindent}{-0.5cm}
\item Linear distance: $p(\vec{q}_{t+1} \mid \vec{q}_t)_{\text{step}} = $\\
\ispace
$%
\mathcal{N}(\Delta d_t \mid \mu_{\text{step}}, \sigma_{\text{step}}^2)
$\newline
\item Heading change: $p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{turn}} = $\\
\ispace
$%
\mathcal{N}(\Delta\alpha_t \mid \oTurn, \sigma^2_{\text{turn}})
$\newline
\item Height change: $p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{baro}} = $\\
\ispace
$
\mathcal{N}(\Delta z \mid \mu_z, \sigma^2_{z})
$
\end{itemize}
%\column{0.05\textwidth}
\column{0.60\textwidth}
\centering
\input{gfx/backwardTransition.eps_tex}{}
\end{columns}
\end{frame}
\begin{frame}
\frametitle{Backward Transition}
\begin{itemize}
\item<1-> the probability density of the smoothing transition is then given by
\begin{equation*}
\arraycolsep=1.2pt
\begin{array}{ll}
p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t) =
&p(\vec{q}_{t+1} \mid \vec{q}_t)_{\text{step}}\\
&p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{turn}}\\
&p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{baro}}
\end{array}
\enspace .
\end{equation*}
\ispace
\item<1-> assuming again statistical independence
\item<1-> important: to do all this, we need to save all particles and their weight at each time step while filtering.
\end{itemize}
\end{frame}
%Section Evaluation
\section{Evaluation}
\begin{frame}[fragile]
\frametitle{Test Environment}
\begin{figure}
\centering
\scalebox{1.2}{
\input{gfx/paths}}
\end{figure}
%
\end{frame}
\begin{frame}[fragile]
\frametitle{Fixed-interval Smoothing - Path 2}
\begin{figure}
\centering
\scalebox{1.2}{
\input{gfx/path2_interval_compare}}
%\caption{a) Exemplary results for path 2 where BS (blue) and filtering (green) using 2500 particles and 500 sample realisations. b) A situation where smoothing provides a worse error in regard to the ground truth, but obviously a more realistic path.}
%\label{fig:int_path2}
\end{figure}
%
\end{frame}
\begin{frame}[fragile]
\frametitle{Fixed-interval Smoothing - UAH (This building)}
\begin{figure}
\centering
\includegraphics[width=0.8\textwidth]{gfx/uah_live.png}
\end{figure}
%
\end{frame}
\begin{frame}[fragile]
\frametitle{Fixed-lag Smoothing - Path 4}
\begin{figure}
\centering
\scalebox{1.2}{
\input{gfx/path4_lag_comp}}
%\caption{Estimation results on path 4 for the filter and both smoothers using fixed-lag smoothing with $\tau = 5$. For a better visualisation, the segments are divided using an outline of alternating grey levels. The corresponding segment-error can be seen in fig. \ref{fig:lag_error_path4}.}
%\label{fig:lag_comp_path4}
\end{figure}
\end{frame}
\begin{frame}[fragile]
\frametitle{Fixed-lag Smoothing - Path 4}
\begin{figure}
\centering
\scalebox{1.2}{
\input{gfx/error_timed}}
%\caption{Estimation results on path 4 for the filter and both smoothers using fixed-lag smoothing with $\tau = 5$. For a better visualisation, the segments are divided using an outline of alternating grey levels. The corresponding segment-error can be seen in fig. \ref{fig:lag_error_path4}.}
%\label{fig:lag_comp_path4}
\end{figure}
\end{frame}
\begin{frame}[fragile]
\frametitle{Overall Results}
Overall estimation results for all paths on 10 MC runs:
\centering
\begin{tabular}{ |l |c |c |}
\hline
& Galaxy S5 & Nexus 6 \\ \hline
Filtering & \SI{7.92}{m} & \SI{5.50}{m} \\\hline
Forwards-Backward & \SI{6.48}{m} & \SI{4.47}{m} \\\hline
Backward Simulation & \SI{6.68}{m} & \SI{4.80}{m} \\
\hline
\end{tabular}
\begin{itemize}
\item even with 50 particles backward simulation is still able to provide good results.
\item bigger lags improve the results with increasing temporal error
\end{itemize}
\end{frame}
%Section Conclusion
\section{Conclusion}
\begin{frame}[fragile]
\frametitle{Conclusion}
\textcolor{mLightBrown}{What you have seen:}
\begin{itemize}
\item Successful use of \textbf{different smoothing algorithm} in context of indoor localisation
\item A \textbf{very simple} backward transition model
\item \textbf{Practical} and \textbf{theoretical comparison} between the single approaches
\end{itemize}
\begin{columns}[T,onlytextwidth]
\column{0.5\textwidth}
\textcolor{pro}{What's good:}
\begin{itemize}
\item Realistic paths and good error compensation
\item \textbf{Low computational cost} and \textbf{low complexity} by using backward simulation
\end{itemize}
\column{0.05\textwidth}
\column{0.5\textwidth}
\textcolor{con}{What's future work?}
\begin{itemize}
\item Dynamic-lag smoothing
\item Prediction of future observations to reduce the estimation lag
\end{itemize}
\end{columns}
\end{frame}
\begin{frame}[fragile]{}
\setbeamercolor{frametitle}{use=mDarkTeal,fg=mDarkTeal, bg=mWhite}
\vfill
\begin{center}
\vspace{1em}
\usebeamerfont{section title}
Thank you. Any questions?
\end{center}
\vfill
Toni Fetzer \\
\insertmail \\
University of Applied Sciences W\"urzburg - Schweinfurt
\end{frame}
%\begin{frame}[allowframebreaks]
% \frametitle{References}
% \bibliography{demo}
% \bibliographystyle{abbrv}
%\end{frame}
\end{document}

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/Notice (Copyright \050URW\051++,Copyright 1999 by \050URW\051++ Design & Development; Cyrillic glyphs added by Valek Filippov \050C\051 2001-2005) readonly def
/FullName (Nimbus Roman No9 L Regular) readonly def
/FamilyName (Nimbus Roman No9 L) readonly def
/Weight (Regular) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
readonly def
currentdict end
currentfile eexec
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2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b00
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b1d00>
] def
/f-0-0 currentdict end definefont pop
%%EndResource
%%BeginResource: font DejaVuSans
11 dict begin
/FontType 42 def
/FontName /DejaVuSans def
/PaintType 0 def
/FontMatrix [ 1 0 0 1 0 0 ] def
/FontBBox [ 0 0 0 0 ] def
/Encoding 256 array def
0 1 255 { Encoding exch /.notdef put } for
Encoding 1 /uni2212 put
/CharStrings 2 dict dup begin
/.notdef 0 def
/uni2212 1 def
end readonly def
/sfnts [
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030c000000ab676c79665d1ba65d0000009c000000706865616408c0648f000003b800000036
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2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
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2b2b2b002b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b1d00>
] def
/f-0-1 currentdict end definefont pop
%%EndResource
%%BeginResource: font StandardSymL
%!PS-AdobeFont-1.0: StandardSymL 001.005
%%CreationDate: Thu Oct 21 1999
% Copyright URW Software, Copyright 1997 by URW
% URW Software, Copyright 1997 by URW
% See the file COPYING (GNU General Public License) for license conditions.
% As a special exception, permission is granted to include this font
% program in a Postscript or PDF file that consists of a document that
% contains text to be displayed or printed using this font, regardless
% of the conditions or license applying to the document itself.
12 dict begin
/FontInfo 10 dict dup begin
/version (001.005) readonly def
/Notice (URW Software, Copyright 1997 by URW. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def
/Copyright (Copyright URW Software, Copyright 1997 by URW) readonly def
/FullName (Standard Symbols L) readonly def
/FamilyName (Standard Symbols L) readonly def
/Weight (Regular) readonly def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -229 def
/UnderlineThickness 46 def
end readonly def
/FontName /f-1-1 def
/PaintType 0 def
/WMode 0 def
/FontBBox {-180 -293 1090 1010} readonly def
/FontType 1 def
/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 2 /kappa put
dup 1 /pi put
readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndResource
%%BeginResource: font NimbusRomNo9L-Regu
%!PS-AdobeFont-1.0: NimbusRomNo9L-Regu 1.06
%%Title: NimbusRomNo9L-Regu
%Version: 1.06
%%CreationDate: Thu Aug 2 13:14:49 2007
%%Creator: frob
%Copyright: Copyright (URW)++,Copyright 1999 by (URW)++ Design &
%Copyright: Development; Cyrillic glyphs added by Valek Filippov (C)
%Copyright: 2001-2005
% Generated by FontForge 20070723 (http://fontforge.sf.net/)
%%EndComments
FontDirectory/NimbusRomNo9L-Regu known{/NimbusRomNo9L-Regu findfont dup/UniqueID known pop false {dup
/UniqueID get 5020931 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /f-2-0 def
/FontBBox {-168 -281 1031 924 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (1.06) readonly def
/Notice (Copyright \050URW\051++,Copyright 1999 by \050URW\051++ Design & Development; Cyrillic glyphs added by Valek Filippov \050C\051 2001-2005) readonly def
/FullName (Nimbus Roman No9 L Regular) readonly def
/FamilyName (Nimbus Roman No9 L) readonly def
/Weight (Regular) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 52 /four put
dup 54 /six put
dup 56 /eight put
dup 61 /equal put
dup 77 /M put
dup 98 /b put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 105 /i put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
readonly def
currentdict end
currentfile eexec
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/f-2-0 1 Tf
(x)Tj
-14.132535 2.323423 Td
(0)Tj
/f-0-0 1 Tf
(.)Tj
/f-2-0 1 Tf
[()41(0)]TJ
0 2.942671 Td
(0)Tj
/f-0-0 1 Tf
(.)Tj
/f-2-0 1 Tf
[()41(2)]TJ
0 2.942691 Td
(0)Tj
/f-0-0 1 Tf
(.)Tj
/f-2-0 1 Tf
[()41(4)]TJ
0 2.942631 Td
(0)Tj
/f-0-0 1 Tf
(.)Tj
/f-2-0 1 Tf
[()41(6)]TJ
0 2.942711 Td
(0)Tj
/f-0-0 1 Tf
(.)Tj
/f-2-0 1 Tf
[()41(8)]TJ
-0.0000205563 2.942671 Td
(1)Tj
/f-0-0 1 Tf
(.)Tj
/f-2-0 1 Tf
[()41(0)]TJ
-0.00000100375 2.931594 Td
(1)Tj
/f-0-0 1 Tf
(.)Tj
/f-2-0 1 Tf
[()41(2)]TJ
0 19.925301 -19.925301 0 11.1641 215.284 Tm
(pdf)Tj
23.9104 0 0 23.9104 204.245 413.971 Tm
[(v)18(on)-245(Mi)3(ses)-254(distri)4(b)18(ution)]TJ
17.932773 0 2.994774 17.932773 498.991 380.093 Tm
/f-1-1 1 Tf
<02>Tj
17.9328 0 0 17.9328 514.831 380.093 Tm
/f-2-0 1 Tf
[(=)-246(0)]TJ
/f-0-0 1 Tf
[(.)]TJ
/f-2-0 1 Tf
[()35(1)]TJ
17.932773 0 2.994774 17.932773 498.991 354.496 Tm
/f-1-1 1 Tf
<02>Tj
17.9328 0 0 17.9328 514.831 354.496 Tm
/f-2-0 1 Tf
[(=)-246(1)]TJ
17.932773 0 2.994774 17.932773 498.991 329.014 Tm
/f-1-1 1 Tf
<02>Tj
17.9328 0 0 17.9328 514.831 329.014 Tm
/f-2-0 1 Tf
[(=)-246(2)]TJ
17.932773 0 2.994774 17.932773 498.991 303.532 Tm
/f-1-1 1 Tf
<02>Tj
17.9328 0 0 17.9328 514.831 303.532 Tm
/f-2-0 1 Tf
[(=)-246(4)]TJ
17.932773 0 2.994774 17.932773 498.991 278.164 Tm
/f-1-1 1 Tf
<02>Tj
17.9328 0 0 17.9328 514.831 278.164 Tm
/f-2-0 1 Tf
[(=)-246(8)]TJ
ET
Q Q
showpage
%%Trailer
end restore

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\newcommand{\mAvgSquaredError}{\ensuremath{\overline{e}}}
\newcommand{\mLogDistGamma}{\ensuremath{\gamma}}
\newcommand{\mLogDistTX}{TX}
\newcommand{\mDongle}[1]{\ensuremath{D_{#1}}}
%\newcommand{\mDongle}{d} % dongle
\newcommand{\mBeacon}[1]{\ensuremath{B_{#1}}} % beacon
\newcommand{\mRssi}{\ensuremath{s}} % client's signal-strength measurement
\newcommand{\mMdlRSSI}{\ensuremath{\varsigma}} % model's signal-strength
\newcommand{\mPosAP}{\varrho} % char for access point position vector
\newcommand{\mPos}{\rho} % char for positions
\newcommand{\mPosVec}{\vec{\mPos}} % position vector
\newcommand{\mRssiVec}{\vec{s}} % client signal strength measurements
\newcommand{\mState}{q} % state variable
\newcommand{\mStateVec}{\vec{q}} % state vector variable
\newcommand{\mObs}{o} % observation variable
\newcommand{\mObsVec}{\vec{o}} % observation vector variable
\newcommand{\mObsWifi}{\vec{o}_{\text{wifi}}} % wifi observation
\newcommand{\mProb}{p} % char for probability
\newcommand{\mMovingAvgWithSize}[1]{\ensuremath{\text{avg}_{#1}}}
%\newcommand{\docIBeacon}{iBeacon}
% for equation references
\newcommand{\refeq}[1]{eq. \eqref{#1}}
% add todo notes
\newcommand{\todo}[1]{%
\noindent%
\fcolorbox{black}{yellow}{%
\parbox[position]{0.45\textwidth}{%
\footnotesize%
{\bf TODO} #1%
}%
}%
}
%comments
\newcommand{\commentByFrank}[1]{%
\noindent%
\fcolorbox{black}{cyan}{%
\parbox[position]{0.45\textwidth}{%
\footnotesize%
{\bf Frank:} #1%
}%
}%
}
\newcommand{\commentByLukas}[1]{%
\noindent%
\fcolorbox{black}{green}{%
\parbox[position]{0.45\textwidth}{%
\footnotesize%
{\bf Lukas:} #1%
}%
}%
}
\newcommand{\commentByToni}[1]{%
\noindent%
\fcolorbox{black}{red}{%
\parbox[position]{0.45\textwidth}{%
\footnotesize%
{\bf Toni:} #1%
}%
}%
}
\newcommand{\docRSSI}{RSSI}
\newcommand{\docTX}{TX}
\newcommand{\docLogDist}{log-distance}
%\newcommand{\docAP}{access-point}
%\newcommand{\docAPs}{access-points}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\mPLE}{\ensuremath{\gamma}} % path-loss exponent
\newcommand{\mTXP}{\ensuremath{P_0}} % tx-power
\newcommand{\mWAF}{\ensuremath{\lambda}} % wall attenuation factor
\newcommand{\mMdlDist}{\ensuremath{d}} % distance used within propagation models
\newcommand{\mGraph}{\ensuremath{G}}
\newcommand{\mVertices}{\ensuremath{V}}
\newcommand{\mVertex}{\ensuremath{v}}
\newcommand{\mVertexB}{\ensuremath{w}}
\newcommand{\mEdges}{\ensuremath{E}}
\newcommand{\mEdge}{\ensuremath{e}}

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% keyword macros
\newcommand{\docIBeacon}{iBeacon}
% wifi naming
\newcommand{\wifiRSSI}{RSSI}
\newcommand{\wifiTxPower}{TX-Power}
\newcommand{\wifiPathLossExp}{PathLoss}
\newcommand{\wifiPropLogScale}{Log-Scale}
\newcommand{\wifiPropLogScaleWalls}{Log-Scale-Walls}
\newcommand{\docLogDistance}{log-distance}
\newcommand{\docLogDistanceWalls}{wall-attenuation-factor}
% misc
\newcommand{\docTxPower}{TX-Power}
\newcommand{\docPathLossExp}{PathLoss}
\newcommand{\docPathLoss}{Pathloss}
\newcommand{\docsAP}{AP}
\newcommand{\docAPshort}{AP}
\newcommand{\docAP}{access-point}
\newcommand{\docAPs}{access-points}
\newcommand{\docWIFI}{Wi\hbox{-}Fi}
\newcommand{\docBeacon}{\Gls{Beacon}}
\newcommand{\docBeacons}{\Glspl{Beacon}}
\newcommand{\docsRSSI}{RSSI}
\newcommand{\docDSimplex}{downhill-simplex}

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%%
%% The original source files were:
%%
%% pgfplotsthemetol.dtx (with options: `package')
%% ---------------------------------------------------------------------------
%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of
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%%
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%%
%% and the original template was based on the HSRM theme by Benjamin Weiss.
%%
%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0
%% International License (https://creativecommons.org/licenses/by-sa/4.0/).
%% ---------------------------------------------------------------------------
\NeedsTeXFormat{LaTeX2e}
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[2015/06/16 PGFplots colors based on Paul Tol's SRON technical note]
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\definecolor{TolLightPurple}{HTML}{AA4499}
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{draw=TolDarkGreen, fill=TolDarkGreen!70},
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\endinput
%%
%% End of file `pgfplotsthemetol.sty'.

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