From 83dab61ca1d1c9eade7f5b8b0649da69f99182e2 Mon Sep 17 00:00:00 2001 From: kazu Date: Tue, 12 Jul 2016 17:20:09 +0200 Subject: [PATCH] fixed some gfx added some comments to the tex --- competition/tex/chapters/abstract.tex | 5 +- competition/tex/chapters/barometer.tex | 6 +- competition/tex/chapters/components.tex | 2 +- competition/tex/chapters/graph.tex | 40 +- competition/tex/chapters/introduction.tex | 8 +- competition/tex/chapters/performance.tex | 4 +- competition/tex/chapters/stepturn.tex | 4 +- competition/tex/chapters/wifi.tex | 6 +- competition/tex/gfx/paths.eps | 7527 +++++++++++++++++++++ competition/tex/gfx/paths.tex | 107 + 10 files changed, 7680 insertions(+), 29 deletions(-) create mode 100644 competition/tex/gfx/paths.eps create mode 100644 competition/tex/gfx/paths.tex diff --git a/competition/tex/chapters/abstract.tex b/competition/tex/chapters/abstract.tex index 27de98e..2e0c3b3 100644 --- a/competition/tex/chapters/abstract.tex +++ b/competition/tex/chapters/abstract.tex @@ -1,8 +1,9 @@ \begin{abstract} -This technical description gives an short overview of the indoor localisation and navigation system developed at the University of Applied Sciences W\"urzburg-Schweinfurt and the University of Siegen, Germany. +This technical description gives a short overview of the indoor localisation and navigation system developed at the University of Applied Sciences W\"urzburg-Schweinfurt and the University of Siegen, Germany. A highly modular system fusing different sensors, namely Wi-Fi, iBeacons, barometer, step- and turn-detection, will be shown. -Additionally extended knowledge provided by prior and past data is incorporate by natural walking paths and smoothing. +Additionally, extended knowledge provided by prior and past data is incorporate by natural walking paths and smoothing. The system performs all calculations in real time on a commercial smartphone using a high number of particles. +\commentByFrank{particles? haben wir das hier schon eingefuehrt?} \end{abstract} diff --git a/competition/tex/chapters/barometer.tex b/competition/tex/chapters/barometer.tex index a311ca0..4fe6aca 100644 --- a/competition/tex/chapters/barometer.tex +++ b/competition/tex/chapters/barometer.tex @@ -1,16 +1,16 @@ \subsection{Barometer} - If available, the Smartphone's barometer is used to infer the likeliness of the current $z$-location% + If available, the Smartphone's barometer is used to infer the likeliness of the current $z$-location. % As ambient pressure readings are highly influenced by environmental conditions like the weather, time-of-day and others \cite{Muralidharan14-BPS}, - we use relative pressure instead of absolute ones.% + we use relative pressure instead of absolute ones. % Due to noisy sensors, more than one reading is used to estimate this relative base. The usual setup time of a navigation-system (route calculation, etc.) is used to average all barometer readings during this timeframe. This average $\overline{\mObsPressure}$ serves as relative base. - Furthermore, we estimate the sensor's uncertainty $\sigma_\text{baro}$ for later use within the evaluation step.% + Furthermore, we estimate the sensor's uncertainty $\sigma_\text{baro}$ for later use within the evaluation step. % During each transition from $\mStateVec_{t-1}$ to $\mStateVec_t$, we need a corresponding, relative pressure prediction $\mStatePressure$ which is adjusted whenever a $z$-change happens within the transition. diff --git a/competition/tex/chapters/components.tex b/competition/tex/chapters/components.tex index 1037c8a..01528c5 100644 --- a/competition/tex/chapters/components.tex +++ b/competition/tex/chapters/components.tex @@ -19,7 +19,7 @@ By assuming statistical independence of all sensors, the probability density of whereby absolute position information is given by $p(\vec{o}_t \mid \vec{q}_t)_\text{ib}$ for \docIBeacon{}s and by $p(\vec{o}_t \mid \vec{q}_t)_\text{wifi}$ for \docWIFI{}. - Compared to other state-of-the-art system, the step- and turn-detection is not incorporated into the evaluation step. + Compared to other state-of-the-art systems, step- and turn-detection are not incorporated into the evaluation step. In our approach it stabilizes and improves the sampling of states $\vec{q}$ into moving more realistically. The transition step is the carried out using random walks on a graph, which is built offline, and uses the building's floorplan \cite{ebner-16}. diff --git a/competition/tex/chapters/graph.tex b/competition/tex/chapters/graph.tex index 48e0a7b..4a4c753 100644 --- a/competition/tex/chapters/graph.tex +++ b/competition/tex/chapters/graph.tex @@ -1,12 +1,17 @@ \subsection{Transition} To enhance the quality of the proposal distribution, the transition step is - based on a \SI{20}{\centimeter}-gridded graph $G = (V,E)$ + based on random walks along a \SI{20}{\centimeter}-gridded graph $G = (V,E)$ with vertices $v_i \in V$ and undirected edges $e_{i,j} \in E$ - derived from the buildings floorplan. This ensures that only valid - movements can be sampled from the previous state.% + derived from the buildings floorplan (figure \ref{fig:graphOverview}). + This ensures that only valid movements can be sampled from the previous state.% - \noindent\hspace{1mm}\input{gfx/graphOverview} + \begin{figure} + %\noindent\hspace{1mm} + \input{gfx/graphOverview} + \caption{The floorplan-based graph that is used for the transition step.} + \label{fig:graphOverview} + \end{figure} The graph is built once and offline using the floorplan created by our editor. Besides realistic stairwells, additional semantic information (e.g. doors) @@ -14,18 +19,27 @@ and is used during the online phase. If the pedestrian's destination is know beforehand, this information can - be included as prior knowledge into the transition step. A shortest-path - calculation imposes additional constraints to the transition by favouring - movements that approach the desired destination (pedestrian sticking to the shortest path) + be included as prior knowledge for the random walk: A shortest-path + calculation imposes constraints by favouring + moves (edges) that approach the desired destination (pedestrian sticking to the shortest path) over movements that depart from the destination. - To ensure that the calculated shortest path is realistic (resembled human walking paths) - each node within the graph contains a weight, denoting the likelyhood for being visited - by the pedestrian. Using this approach, nodes near to walls receive a lower likelyhood. - During the path-calculation this importance is used to artificially increase/decrease the + To ensure that the calculated shortest path is realistic (resembles human walking paths) + each node within the graph contains a weight, denoting the likelihood for being visited + by the pedestrian. Using this approach, nodes near walls receive a lower likelihood. + During the path-calculation this importance is hereafter used to artificially increase the weight $\delta(\mEdgeAB)$ between two nodes. This ensures that the resulting path is - farther away from obstacles and looks much more realistic + farther away from obstacles and looks much more realistic, as can be seen in figure \ref{fig:graphPaths}. - \noindent\hspace{1mm}\input{gfx/graphPaths} + \begin{figure} + %\noindent\hspace{1mm} + \input{gfx/graphPaths} + \caption{% + Shortest path calculation based on the underlying graph. + Just using the distance between two nodes as weight $\delta(\mEdgeAB)$ results in very unrealistic walking paths (blue). + Artificially increasing this weight for edges near walls, creates much better path estimations (green).% + } + \label{fig:graphPaths} + \end{figure} diff --git a/competition/tex/chapters/introduction.tex b/competition/tex/chapters/introduction.tex index 8082ad8..bc11756 100644 --- a/competition/tex/chapters/introduction.tex +++ b/competition/tex/chapters/introduction.tex @@ -5,8 +5,10 @@ For this, we have been awarded the best overall paper award at IPIN 2015 in Banf Since then, we extended our approach by prior navigation knowledge using realistic human walking paths \cite{ebner-16} and smoothing methods \cite{fetzer-16}. Additionally, a self-developed map editor allows for creating advanced 3D maps and realistically shaped stairs. Compared to many other systems, we avoid any time-consuming fingerprinting and calibration processes and are able to start with a uniform distribution over the whole building. +\commentByFrank{= we do not need any prior information on the pedestrian's starting position} All calculations are computed in real time on a commercial smartphone, in most of our examples this is the Motorola Nexus 6 or the Samsung Galaxy S5. -The system is implemented in C++ using the Qt framework and OpenCL. +The system is implemented in C++ using the Qt framework and OpenCL. +\commentByFrank{aktuell noch kein OpenCL leider} \begin{figure} \centering @@ -16,7 +18,7 @@ The system is implemented in C++ using the Qt framework and OpenCL. \end{figure}% An overview of all involved components and the sensor fusion procedure can be seen in fig. \ref{fig:sysoverview}. -Here, the smartphone provides all necessary measurements and no additional device is needed. +Here, the smartphone provides all necessary measurements and no additional devices are needed. The readings of all those sensors are fused using recursive density estimation, directly on the phone: % \begin{equation} @@ -47,7 +49,7 @@ where $\mObsVec_{1:t} = \mObsVec_{1}, \mObsVec_{1}, ..., \mObsVec_{t}$ is a seri \end{equation} % where $\mRssiVec_\text{wifi}$ and $\mRssiVec_\text{ib}$ contain the measurements of all nearby \docAP{}s (\docAPshort{}) - and \docIBeacon{}s, respectively. Both serve as absolute positioning component. $\mObsHeading$ and $\mObsSteps$ describe the relative angular change and the number of steps detected for the pedestrian. + and (if available) \docIBeacon{}s, respectively. Both serve as absolute positioning component. $\mObsHeading$ and $\mObsSteps$ describe the relative angular change and the number of steps detected for the pedestrian. If the smartphone provides a barometer, $\mObsPressure$ is used as an additional, relative verification for the current $z$-component of the pedestrian's location. % The recursive density estimation of eq. \eqref{eq:recursiveDensity} is implemented using a particle-filter with the state transition as proposal density. diff --git a/competition/tex/chapters/performance.tex b/competition/tex/chapters/performance.tex index 6d15ca1..b6280a1 100644 --- a/competition/tex/chapters/performance.tex +++ b/competition/tex/chapters/performance.tex @@ -12,13 +12,13 @@ To give a brief overview of the system's performance we look back at the evaluation provided in \cite{ebner-16}. Here, 4 distinct walks were conducted within the faculty building (cf. fig. \ref{fig:paths}). No smoothing was carried out. -We used \SI{7500}{particles} as realization and calculated the weighted arithmetic mean of the particles as state estimation. +We used \SI{7500}{particles} as realisation and calculated the weighted arithmetic mean of the particles as state estimation. The ground truth was measured by recording a timestamp at marked spots on the walking route, similar as described in the competition guidelines. Starting uniformly distributed, the median error for all conducted walks are listed in table \ref{tbl:errNexus} for the Motorola Nexus 6 and the Samsung Galaxy S5. Additionally performing a smoothing step, would further improve the results and reduces temporal errors, as shown in \cite{fetzer-16}. % \begin{table}[h] - \caption{Median error for all conducted walks.} + \caption{Median error for all conducted walks. \commentByFrank{without smoothing?}} \label{tbl:errNexus} \centering \begin{tabular}{|l|c|c|c|c|} diff --git a/competition/tex/chapters/stepturn.tex b/competition/tex/chapters/stepturn.tex index 42220dc..4888640 100644 --- a/competition/tex/chapters/stepturn.tex +++ b/competition/tex/chapters/stepturn.tex @@ -1,8 +1,8 @@ \subsection{Step- and Turn-Detection} The smartphone's IMU is used to track the number of steps the pedestrian has made - (accelerometer) as well as the relative heading change (gyroscope) since the last transition - \cite{ebner-15}.% + (accelerometer) as well as its relative heading change (gyroscope) since the last transition + \cite{ebner-15}. % To avoid potential sample impoverishment, which is induced when using the state transition as proposal distribution, we use both values directly within the transition step to constrain the to-be-walked distance and direction for the diff --git a/competition/tex/chapters/wifi.tex b/competition/tex/chapters/wifi.tex index a736e02..10c9057 100644 --- a/competition/tex/chapters/wifi.tex +++ b/competition/tex/chapters/wifi.tex @@ -1,9 +1,9 @@ \subsection{\docWIFI} - the smartphone's \docWIFI{} component provides an absolute location estimation $(x,y,z)^T$ by - measuring the signal-strengths of nearby transmitters (\docAP{}) and comparing them with the signal-strengths + The smartphone's \docWIFI{} component provides an absolute location estimation $(x,y,z)^T$ by + measuring the signal-strengths of nearby transmitters (\docAP{}s) and comparing them with the signal-strengths that should be measurable. The latter are determined using a signal-strength prediction model. - Thus, no fingerprinting is required. Solely the positions of the \docAP{}s must be known beforehand.% + Thus, no fingerprinting is required. Solely the positions of the \docAP{}s must be known beforehand. % Prediction uses the wall-attenuation-factor model \cite{ebner-15} which needs just three parameters: diff --git a/competition/tex/gfx/paths.eps b/competition/tex/gfx/paths.eps new file mode 100644 index 0000000..e0c9e82 --- /dev/null +++ b/competition/tex/gfx/paths.eps @@ -0,0 +1,7527 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: paths.tex +%%Creator: gnuplot 5.0 patchlevel 1 +%%CreationDate: Thu Feb 25 09:44:48 2016 +%%DocumentFonts: +%%BoundingBox: 50 50 302 194 +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color false def +/Blacktext true def +/Solid false def +/Dashlength 1 def +/Landscape false def +/Level1 false def +/Level3 false def +/Rounded false def +/ClipToBoundingBox false def +/SuppressPDFMark false def +/TransparentPatterns false def 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get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse +dup 2 lt + {/InterpretLevel1 true def + /InterpretLevel3 false def} + {/InterpretLevel1 Level1 def + 2 gt + {/InterpretLevel3 Level3 def} + {/InterpretLevel3 false def} + ifelse } + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> matrix makepattern +/Pat1 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke + 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} +>> matrix makepattern +/Pat2 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L + 8 8 L 8 0 L 0 0 L fill} +>> matrix makepattern +/Pat3 exch def +<< 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KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def +} def +% +% +%End of PostScript Level 2 code +% +/PatternBgnd { + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse +} def +% +% Substitute for Level 2 pattern fill codes with +% grayscale if Level 2 support is not selected. +% +/Level1PatternFill { +/Pattern1 {0.250 Density} bind def +/Pattern2 {0.500 Density} bind def +/Pattern3 {0.750 Density} bind def +/Pattern4 {0.125 Density} bind def +/Pattern5 {0.375 Density} bind def +/Pattern6 {0.625 Density} bind def +/Pattern7 {0.875 Density} bind def +} def +% +% Now test for support of Level 2 code +% +Level1 {Level1PatternFill} {Level2PatternFill} ifelse +% +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont +dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall +currentdict end definefont pop +% +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title (paths.tex) + /Subject (gnuplot plot) + /Creator (gnuplot 5.0 patchlevel 1) + /Author (kazu) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Thu Feb 25 09:44:48 2016) + /DOCINFO pdfmark +end +} ifelse +end +% +% Support for boxed text - Ethan A Merritt May 2005 +% +/InitTextBox { userdict /TBy2 3 -1 roll put userdict /TBx2 3 -1 roll put + userdict /TBy1 3 -1 roll put userdict /TBx1 3 -1 roll put + /Boxing true def } def +/ExtendTextBox { Boxing + { gsave dup false charpath pathbbox + dup TBy2 gt {userdict /TBy2 3 -1 roll put} {pop} ifelse + dup TBx2 gt {userdict /TBx2 3 -1 roll put} {pop} ifelse + dup TBy1 lt {userdict /TBy1 3 -1 roll put} {pop} ifelse + dup TBx1 lt {userdict /TBx1 3 -1 roll put} 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the package + color.sty in LaTeX.}% + \renewcommand\color[2][]{}% + }% + \providecommand\includegraphics[2][]{% + \GenericError{(gnuplot) \space\space\space\@spaces}{% + Package graphicx or graphics not loaded% + }{See the gnuplot documentation for explanation.% + }{The gnuplot epslatex terminal needs graphicx.sty or graphics.sty.}% + \renewcommand\includegraphics[2][]{}% + }% + \providecommand\rotatebox[2]{#2}% + \@ifundefined{ifGPcolor}{% + \newif\ifGPcolor + \GPcolorfalse + }{}% + \@ifundefined{ifGPblacktext}{% + \newif\ifGPblacktext + \GPblacktexttrue + }{}% + % define a \g@addto@macro without @ in the name: + \let\gplgaddtomacro\g@addto@macro + % define empty templates for all commands taking text: + \gdef\gplbacktext{}% + \gdef\gplfronttext{}% + \makeatother + \ifGPblacktext + % no textcolor at all + \def\colorrgb#1{}% + \def\colorgray#1{}% + \else + % gray or color? + \ifGPcolor + \def\colorrgb#1{\color[rgb]{#1}}% + \def\colorgray#1{\color[gray]{#1}}% + \expandafter\def\csname LTw\endcsname{\color{white}}% + \expandafter\def\csname LTb\endcsname{\color{black}}% + \expandafter\def\csname LTa\endcsname{\color{black}}% + \expandafter\def\csname LT0\endcsname{\color[rgb]{1,0,0}}% + \expandafter\def\csname LT1\endcsname{\color[rgb]{0,1,0}}% + \expandafter\def\csname LT2\endcsname{\color[rgb]{0,0,1}}% + \expandafter\def\csname LT3\endcsname{\color[rgb]{1,0,1}}% + \expandafter\def\csname LT4\endcsname{\color[rgb]{0,1,1}}% + \expandafter\def\csname LT5\endcsname{\color[rgb]{1,1,0}}% + \expandafter\def\csname LT6\endcsname{\color[rgb]{0,0,0}}% + \expandafter\def\csname LT7\endcsname{\color[rgb]{1,0.3,0}}% + \expandafter\def\csname LT8\endcsname{\color[rgb]{0.5,0.5,0.5}}% + \else + % gray + \def\colorrgb#1{\color{black}}% + \def\colorgray#1{\color[gray]{#1}}% + \expandafter\def\csname LTw\endcsname{\color{white}}% + \expandafter\def\csname LTb\endcsname{\color{black}}% + \expandafter\def\csname LTa\endcsname{\color{black}}% + \expandafter\def\csname 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