Construction of robust geometric computation algorithms for time-varying spaces

在三个时变空间实例中构造了鲁棒几何算法。首先，构建了时变流场中救援船最短路径的计算算法，并将其应用于救援船路径规划和救援船Voronoi图的计算。其次，建立了主观深度感知的数学模型，并将其应用于不可能运动幻觉的设计。第三，构造了一种鲁棒方法来寻找避免因材料形状变化而产生振动的刀具路径。

Robust geometric algorithms were constructed in three examples of time-varying spaces. First, algorithms for computing shortest paths for a boat in a time-varying flow field was constructed, and were applied to rescue-boat path planning and computation of rescue-boat Voronoi diagrams. Second, mathematical models of subjective depth perception was constructed and was applied to the design of new illusions named impossible motions. Third, a robust method was constructed to find a cutter path that can avoid vibration due to the change of the material shape.