A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Proceedings of the 2004 ACM/IEEE conference on Supercomputing
Multi-level µ-finite element analysis for human bone structures
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Parallel performance evaluation of MIC(0) preconditioning algorithm for voxel µFE simulation
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
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The (micro-)finite element analysis based on three-dimensional computed tomography (CT) data of human bone takes place on complicated domains composed of often hundreds of millions of voxel elements. The finite element analysis is used to determine stresses and strains at the trabecular level of bone. It is even used to predict fracture of osteoporotic bone. However, the computed stresses can deteriorate at the jagged surface of the voxel model.There are algorithms known to smooth surfaces of voxel models. Smoothing however can distort the element geometries. In this study we investigate the effects of smoothing on the accuracy of the finite element solution, on the condition of the resulting system matrix, and on the effectiveness of the smoothed aggregation multigrid preconditioned conjugate gradient method.