filename : p_SCA06_paper_1043_final_electronic.pdf entry : inproceedings conference : Proc. of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation, Vienna, Austria, Sept. 2-4, 2006 pages : 63-72 year : 2006 month : September title : Fast Arbitrary Splitting of Deforming Objects subtitle : author : Denis Steinemann, Miguel A. Otaduy, Markus Gross booktitle : Symposium on Computer Animation 2006, ACM SIGGRAPH / Eurographics Symposium Proceedings ISSN/ISBN : ISSN 1727-5288 editor : M.-P. Cani, J. F. O'Brien publisher : Eurographics Association publ.place : volume : issue : language : English keywords : abstract : We present a novel algorithm for efficiently splitting deformable solids along arbitrary piecewise linear crack surfaces in cutting and fracture simulations. We propose the use of a meshless discretization of the deformation field, and a novel visibility graph for fast update of shape functions in meshless discretizations. We decompose the splitting operation into a first step where we synthesize crack surfaces as triangle meshes, and a second step where we use the newly synthesized surfaces to update the visibility graph, and thus the meshless discretization of the deformation field. The separation of the splitting operation into two steps, along with our novel visibility graph, enables high flexibility and control over the splitting trajectories, provides fast dynamic update of the meshless discretization, and facilitates an easy implementation, making our algorithm scalable, versatile, and suitable for a large range of applications, from computer animation to interactive medical simulation.