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On Smoothing Surfaces in Voxel Based Finite Element Analysis of Trabecular Bone

Authors:

Large-Scale Scientific Computing: 6th International Conference, LSSC 2007, Sozopol, Bulgaria, June 5-9, 2007. Revised Papers

March 2009

Pages 69 - 77

https://doi.org/10.1007/978-3-540-78827-0_6

Published: 26 March 2009 Publication History

Abstract

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.

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Cited By

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Lirkov IVutov YPaprzycki MGanzha M(2009)Parallel performance evaluation of MIC(0) preconditioning algorithm for voxel µFE simulationProceedings of the 8th international conference on Parallel processing and applied mathematics: Part II10.5555/1893586.1893604(135-144)Online publication date: 13-Sep-2009
https://dl.acm.org/doi/10.5555/1893586.1893604

On Smoothing Surfaces in Voxel Based Finite Element Analysis of Trabecular Bone
1. Applied computing
  1. Physical sciences and engineering
2. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis

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Published In

Large-Scale Scientific Computing: 6th International Conference, LSSC 2007, Sozopol, Bulgaria, June 5-9, 2007. Revised Papers

March 2009

727 pages

ISBN:9783540788256

Editors:
Ivan Lirkov
Institute for Parallel Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria 1113
,
Svetozar Margenov
Institute for Parallel Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria 1113
,
Jerzy Waśniewski
Department of Informatics and Mathematical Modelling, Technical University of Denmark, Kongens Lyngby, Denmark DK-2800

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 26 March 2009

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Lirkov IVutov YPaprzycki MGanzha M(2009)Parallel performance evaluation of MIC(0) preconditioning algorithm for voxel µFE simulationProceedings of the 8th international conference on Parallel processing and applied mathematics: Part II10.5555/1893586.1893604(135-144)Online publication date: 13-Sep-2009
https://dl.acm.org/doi/10.5555/1893586.1893604

Abstract

References

Cited By

Recommendations

Mechanical analysis of bone and its microarchitecture based on in vivo voxel images

Biological-data-based finite-element stress analysis of mandibular bone with implant-supported overdenture

A review of magnetic resonance (MR) imaging of trabecular bone micro-architecture: contribution to the prediction of biomechanical properties and fracture prevalence

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