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“Meshsweeper”: dynamic point-to-polygonal mesh distance and applications

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1 Author(s)
Guezlec, /A/. ; Multigen-Pradigm Inc., Comput. Associates Co., San Jose, CA

We introduce a new algorithm for computing the distance from a point to an arbitrary polygonal mesh. Our algorithm uses a multiresolution hierarchy of bounding volumes generated by geometric simplification. Our algorithm is dynamic, exploiting coherence between subsequent queries using a priority process and achieving constant time queries in some cases. It can be applied to meshes that transform rigidly or deform nonrigidly. We illustrate our algorithm with a simulation of particle dynamics and collisions with a deformable mesh, the computation of distance maps and offset surfaces, the computation of an approximation to the expensive Hausdorff distance between two shapes, and the detection of self-intersections. We also report comparison results between our algorithm and an alternative algorithm using an octree, upon which our method permits an order-of-magnitude speed-up

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Visualization and Computer Graphics, IEEE Transactions on  (Volume:7 ,  Issue: 1 )