filename : paper_PBG.pdf entry : inproceedings conference : Eurographics Symposium on Point-Based Graphics, Prague, Sept. 02-04, 2007 pages : 57-64 year : 2007 month : 9 title : Efficient Bounds for Point-Based Animations subtitle : author : Denis Steinemann, Miguel A. Otaduy, Markus Gross booktitle : ISSN/ISBN : 1811-7813 editor : Baoquan Chen, Matthias Zwicker publisher : Eurographics Association publ.place : Prague, Czech Republic volume : issue : language : keywords : abstract : We introduce a new and efficient approach for collision detection in point-based animations, based on the fast computation of tight surface bounds. Our approach is able to tightly bound a high-resolution surface with a cost linear in the number of simulation nodes, which is typically small. We extend concepts about bounds of convex sets to the point-based deformation setting, and we introduce an efficient algorithm for finding extrema of these convex sets. We can compute surface bounds orders of magnitude faster and/or tighter than with previous methods.