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changed grid gfx and TeX

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FrankE
2016-02-15 12:19:44 +01:00
parent 0acccf9fdc
commit 5e46402611
4 changed files with 3697 additions and 7754 deletions
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6
tex/chapters/grid.tex
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@@ -18,7 +18,7 @@
\caption{
Besides the nodes and edges defined by the distinct floors, we add realistic stairs to interconnect them.
Stairs are given by three points $\vec{\spoint}_1, \vec{\spoint}_2, \vec{\spoint}_3$, defining the
starting-edge and the direction.
starting-edge $[\vec{\spoint}_1 \vec{\spoint}_2]$ and the direction $[\vec{\spoint}_2 \vec{\spoint}_3]$.
}
\label{fig:gridStairs}
\end{figure}
@@ -26,8 +26,8 @@
Stairs are defined using three points $\vec{\spoint}_1, \vec{\spoint}_2, \vec{\spoint}_3 \in \R^3$ whereby the segment
$[ \vec{\spoint}_1 \vec{\spoint}_2 ]$ describes the starting-edge, and $[ \vec{\spoint}_2 \vec{\spoint}_3 ]$ the stair's direction
(see fig. \ref{fig:gridStairs}). The corresponding grid-vertices are determined using an intersection of
those segments with the bounding-box for each vertex.
(see fig. \ref{fig:gridStairs}). The grid-vertices corresponding to the starting-edge are determined using an intersection of
the segment $[ \vec{\spoint}_1 \vec{\spoint}_2 ]$ with the bounding-box for each vertex.
To reduce the system's memory footprint, we search for the largest connected region within the graph and
remove all nodes and edges that are not connected to this region.