@@ -190,7 +190,7 @@ This can lead for instance to movements through walls (see figure \ref{fig:lostA
...
@@ -190,7 +190,7 @@ This can lead for instance to movements through walls (see figure \ref{fig:lostA
In order to avoid overlapping, the parameters that govern the forces need to be adapted to high density situations.
In order to avoid overlapping, the parameters that govern the forces need to be adapted to high density situations.
Either a model can implement a dynamic set of parameters, that yield best results in any situation or it can implement a constant set of parameters, that favour faster computation, yet represents always a compromise.
Either a model can implement a dynamic set of parameters, that yield best results in any situation or it can implement a constant set of parameters, that favour faster computation, yet represents always a compromise.
A compromise that works best in as many situations as possible with the risk of producing overlapping in extreme densities. (TODO: Ich verstehe diesen Satz nicht)
A compromise that works best in as many scenalios as possible with the risk of producing overlapping in scenarios of extreme densities.
\begin{figure}[h!]
\begin{figure}[h!]
\centering
\centering
...
@@ -206,7 +206,7 @@ The check, if this limitation should be activated, imposes no further calculatio
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@@ -206,7 +206,7 @@ The check, if this limitation should be activated, imposes no further calculatio
\caption{Trajectories of a bottleneck simulation. Above: plain floor field; Below: enhanced floor field, Width: 2 meters, low velocity: red, high velocity: teal.}
\caption{Trajectories of a bottleneck simulation. Above: plain floor field; Below: enhanced floor field, Width: 2 meters, low velocity: red, high velocity: teal.}
\label{fig:traj}
\label{fig:traj}
\end{figure}
\end{figure}
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@@ -351,12 +351,12 @@ This example shows further potential for floor fields.
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@@ -351,12 +351,12 @@ This example shows further potential for floor fields.
\section*{Summary and Conclusion}
\section*{Summary and Conclusion}
Floor Fields using the Eikonal equation with various slowness fields have been introduced and shown in example-scenarios.
Floor fields using the Eikonal equation with various slowness fields have been introduced and shown in example-scenarios.
The Strict-Boundary-Model is introduced through the distance-dependent slowness-reduction of the \emph{wave}-propagation speed.
The Strict-Boundary-Model is introduced through the distance-dependent slowness-reduction of the \emph{wave}-propagation speed to achieve trajectories with more natural \emph{feel} that closer resemble empiric data.
Further potential is identified in the extension to dynamic aspects like the movement of agents, diffusion of smoke or the identification of congestion.
Further potential is identified in the extension to dynamic aspects like the movement of agents and the identification of congestion.
Depending on the computational power at hand, further aspects could be considered.
Depending on the computational power at hand, further aspects could be considered.
Always having to check, when the tide turns in terms of economics (improvement/additional cost).
Always having to check, when the tide turns in terms of economics (improvement / additional computational cost).
% TODO: Was soll das heissen? Economics?
% TODO: Was soll das heissen? Economics?
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@@ -375,7 +375,7 @@ This example shows further potential for floor fields.
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@@ -375,7 +375,7 @@ This example shows further potential for floor fields.
\bibitem{Hartmann2010}D.~Hartmann, \emph{Adaptive pedestrian dynamics based on geodesics}, New J. Phys. 12, 2010.
\bibitem{Hartmann2010}D.~Hartmann, \emph{Adaptive pedestrian dynamics based on geodesics}, New J. Phys. 12, 2010.
\bibitem{Dietrich}F.~Dietrich, G.~K\"oster, \emph{Gradient Navigation Model for pedestrian dynamics}, Phys. Rev. E 89, 2014.
\bibitem{Dietrich}F.~Dietrich, G.~K\"oster, \emph{Gradient Navigation Model for pedestrian dynamics}, Phys. Rev. E 89, 2014.
\bibitem{Dietrich2014}F.~Dietrich, G.~K\"oster, M.~Seitz, I.~von Sivers, \emph{Bridging the gap: From cellular automata to differential equation models for pedestrian dynamics}, Journal of Computational Science, 2014.
\bibitem{Dietrich2014}F.~Dietrich, G.~K\"oster, M.~Seitz, I.~von Sivers, \emph{Bridging the gap: From cellular automata to differential equation models for pedestrian dynamics}, Journal of Computational Science, 2014.
\bibitem{Hirai}K.~Hirai, K.~Tarui, \emph{A simulation of the behavior of a crowd in panic}, Proc. of the 1975 International Conference on Cybernetics and Society, 1975.
%\bibitem{Hirai}K.~Hirai, K.~Tarui, \emph{A simulation of the behavior of a crowd in panic}, Proc. of the 1975 International Conference on Cybernetics and Society, 1975.
%\bibitem{Helbing}D.~Helbing, P.~Moln\'ar, \emph{Solcial force model for pedestrian dynamics}, Phys. Rev. E, 1995.
%\bibitem{Helbing}D.~Helbing, P.~Moln\'ar, \emph{Solcial force model for pedestrian dynamics}, Phys. Rev. E, 1995.
\bibitem{Guo}R.~Guo, X.~Guo, \emph{The excluded-volume effect in microscopic pedestrian simulations}, Chinese Physics B, 2012.
\bibitem{Guo}R.~Guo, X.~Guo, \emph{The excluded-volume effect in microscopic pedestrian simulations}, Chinese Physics B, 2012.
\bibitem{Mohcine}M.~Chraibi, \emph{Validated force-based modeling of pedestrian dynamics}, Universit\"at zu K\"oln, 2012.
\bibitem{Mohcine}M.~Chraibi, \emph{Validated force-based modeling of pedestrian dynamics}, Universit\"at zu K\"oln, 2012.