Abstract
We extend the kinetic data structure for collision detection between moving simple polygons introduced in [14] to incorporate a hierarchical representation of convex chains. This permits us to define and maintain an adaptive hierarchical outer approximation for convex polygons. This representation can be exploited to give separation sensitive complexity bounds for kinetic collision detection comparable to those of Erickson et al. [11] who deal with pairs of convex polygons. More importantly, it forms the bases of a more general representation, developed in a companion paper, that applied to collections of general (not necessarily convex) polygonal objects.
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Kirkpatrick, D., Speckmann, B. (2001). Separation Sensitive Kinetic Separation Structures for Convex Polygons. In: Akiyama, J., Kano, M., Urabe, M. (eds) Discrete and Computational Geometry. JCDCG 2000. Lecture Notes in Computer Science, vol 2098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47738-1_21
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DOI: https://doi.org/10.1007/3-540-47738-1_21
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