Adaptive medial-axis approximation for sphere-tree construction

Hierarchical object representations play an important role in performing efficient collision handling. Many different geometric primitives have been used to construct these representations, which allow areas of interaction to be localized quickly. For time-critical algorithms, there are distinct advantages to using hierarchies of spheres, known as sphere-trees, for object representation. This article presents a novel algorithm for the construction of sphere-trees. The algorithm presented approximates objects, both convex and non-convex, with a higher degree of fit than existing algorithms. In the lower levels of the representations, there is almost an order of magnitude decrease in the number of spheres required to represent the objects to a given accuracy.

[1]  John Hart,et al.  ACM Transactions on Graphics , 2004, SIGGRAPH 2004.

[2]  Dinesh Manocha,et al.  Spherical shell: a higher order bounding volume for fast proximity queries , 1998 .

[3]  John Dingliana,et al.  Real-time Collision Detection and Response using Sphere-trees , 1999 .

[4]  Dinesh Manocha,et al.  Fast Proximity Queries with Swept Sphere Volumes , 1999 .

[5]  Marc Levoy,et al.  QSplat: a multiresolution point rendering system for large meshes , 2000, SIGGRAPH.

[6]  Dinesh Manocha,et al.  Rapid and Accurate Contact Determination between Spline Models using ShellTrees , 1998, Comput. Graph. Forum.

[7]  Philip M. Hubbard.  Real-Time Collision Detection and Time-Critical Computing , 1995 .

[8]  Dinesh Manocha,et al.  I-COLLIDE: an interactive and exact collision detection system for large-scale environments , 1995, I3D '95.

[9]  Richard L. Grimsdale,et al.  Collision Detection for Animation using Sphere‐Trees , 1995, Comput. Graph. Forum.

[10]  Gareth Bradshaw.  Bounding volume hierarchies for level-of-detail collision handling , 2002 .

[11]  Sean Quinlan,et al.  Efficient distance computation between non-convex objects , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[12]  Philip M. Hubbard.  Improving Accuracy in a Robust Algorithm for Three-Dimensional Voronoi Diagrams , 1996, J. Graphics, GPU, & Game Tools.

[13]  Jack Ritter,et al.  An efficient bounding sphere , 1990 .

[14]  M. Garland,et al.  Quadric-Based Polygonal Surface Simplification , 1999 .

[15]  Taosong He,et al.  Fast collision detection using QuOSPO trees , 1999, SI3D.

[16]  Dinesh Manocha,et al.  OBBTree: a hierarchical structure for rapid interference detection , 1996, SIGGRAPH.

[17]  Jane Wilhelms,et al.  Collision Detection and Response for Computer Animation , 1988, SIGGRAPH.

[18]  Philip M. Hubbard,et al.  Approximating polyhedra with spheres for time-critical collision detection , 1996, TOGS.

[19]  Gino van den Bergen.  Efficient Collision Detection of Complex Deformable Models using AABB Trees , 1997, J. Graphics, GPU, & Game Tools.

[20]  Dinesh Manocha,et al.  Incremental Algorithms for Collision Detection Between Polygonal Models , 1997, IEEE Trans. Vis. Comput. Graph..

[21]  John Dingliana,et al.  Collisions and perception , 2001, TOGS.

[22]  John Dingliana,et al.  Graceful Degradation of Collision Handling in Physically Based Animation , 2000, Comput. Graph. Forum.

[23]  HARRY BLUM,et al.  Shape description using weighted symmetric axis features , 1978, Pattern Recognit..

[24]  Dinesh Manocha,et al.  IMMPACT: A System for Interactive Proximity Queries On Massive Models , 1998 .

[25]  Joseph S. B. Mitchell,et al.  Efficient Collision Detection Using Bounding Volume Hierarchies of k-DOPs , 1998, IEEE Trans. Vis. Comput. Graph..

[26]  Hermann A. Maurer,et al.  New Results and New Trends in Computer Science , 1991, Lecture Notes in Computer Science.

[27]  Hugh J. Watson,et al.  Using EIS to respond to dynamic business conditions , 1995, Decis. Support Syst..

[28]  Emo Welzl,et al.  Smallest enclosing disks (balls and ellipsoids) , 1991, New Results and New Trends in Computer Science.

[29]  Marc Levoy,et al.  Streaming QSplat: a viewer for networked visualization of large, dense models , 2001, I3D '01.

[30]  Philip M. Hubbard,et al.  Collision Detection for Interactive Graphics Applications , 1995, IEEE Trans. Vis. Comput. Graph..