Optimal Acceleration-Velocity-Bounded Trajectory Planning in Dynamic Crowd Simulation

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="501689.fig.005a" src="https://static.hindawi.com/articles/jam/volume-2014/501689/figures/501689.fig.005a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Toward collision</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="501689.fig.005b" src="https://static.hindawi.com/articles/jam/volume-2014/501689/figures/501689.fig.005b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Away collision</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="501689.fig.005c" src="https://static.hindawi.com/articles/jam/volume-2014/501689/figures/501689.fig.005c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Glancing collision</td></tr></table></td></tr></table>

<table>Three types of the collision behaviors.</table>

Journal of Applied Mathematics

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Figure 5

Figure 5: Optimal Acceleration-Velocity-Bounded Trajectory Planning in Dynamic Crowd Simulation 