TY - JOUR
T1 - A multigrid framework for real-time simulation of deformable bodies
AU - Georgii, Joachim
AU - Westermann, Rüdiger
PY - 2006/6
Y1 - 2006/6
N2 - In this paper, we present a multigrid framework for constructing implicit, yet interactive solvers for the governing equations of motion of deformable volumetric bodies. We have integrated linearized, corotational linearized and non-linear Green strain into this framework. Based on a 3D finite element hierarchy, this approach enables realistic simulation of objects exhibiting an elastic modulus with a dynamic range of several orders of magnitude. Using the linearized strain measure, we can simulate 50 thousand tetrahedral elements with 20 fps on a single processor CPU. By using corotational linearized and non-linear Green strain, we can still simulate five thousand and two thousand elements, respectively, at the same rates.
AB - In this paper, we present a multigrid framework for constructing implicit, yet interactive solvers for the governing equations of motion of deformable volumetric bodies. We have integrated linearized, corotational linearized and non-linear Green strain into this framework. Based on a 3D finite element hierarchy, this approach enables realistic simulation of objects exhibiting an elastic modulus with a dynamic range of several orders of magnitude. Using the linearized strain measure, we can simulate 50 thousand tetrahedral elements with 20 fps on a single processor CPU. By using corotational linearized and non-linear Green strain, we can still simulate five thousand and two thousand elements, respectively, at the same rates.
KW - Computational geometry and object modeling
KW - Deformable bodies
KW - Multigrid
KW - Three-dimensional graphics and realism
UR - http://www.scopus.com/inward/record.url?scp=33747163357&partnerID=8YFLogxK
U2 - 10.1016/j.cag.2006.02.016
DO - 10.1016/j.cag.2006.02.016
M3 - Article
AN - SCOPUS:33747163357
SN - 0097-8493
VL - 30
SP - 408
EP - 415
JO - Computers and Graphics (Pergamon)
JF - Computers and Graphics (Pergamon)
IS - 3
ER -