KINETIC COLLISION DETECTION FOR SIMPLE POLYGONS-Reference-Cited by-同舟云学术

KINETIC COLLISION DETECTION FOR SIMPLE POLYGONS

Published:2002-02 Issue:01n02 Volume:12 Page:3-27
ISSN:0218-1959
Container-title:International Journal of Computational Geometry & Applications
language:en
Short-container-title:Int. J. Comput. Geom. Appl.

Author:

KIRKPATRICK DAVID¹,SNOEYINK JACK²,SPECKMANN BETTINA¹

Affiliation:

1. Department of Computer Science, University of British Columbia, 2366 Main Mall, Vancouver, B.C., V6T 1Z4, Canada

2. Department of Computer Science, University of North Carolina at Chapel Hill, CB 3175 Sitterson Hall, Chapel Hill, N.C., 27516, USA

Abstract

We design a simple and elegant kinetic data structure for detecting collisions between polygonal (but not necessarily convex) objects in motion in the plane. Our structure is compact, maintaining an active set of certificates whose number is proportional to a minimum-size set of separating polygons for the objects. It is also responsive; on the failure of a certificate invariants can be restored in time logarithmic in the total number of object vertices. It is difficult to characterize the efficiency of our structure for lack of a canonical definition of external events. Nevertheless we give an easy upper bound on the worst case number of certificate failures.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218195902000724

Reference8 articles.

1. Ray shooting in polygons using geodesic triangulations

2. Efficiently Planning Compliant Motion in the Plane

3. APPROXIMATING POLYGONS AND SUBDIVISIONS WITH MINIMUM-LINK PATHS

4. Collision detection for interactive graphics applications

5. An Efficient Algorithm for Euclidean Shortest Paths Among Polygonal Obstacles in the Plane

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