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

  • Peter Arbenz
  • Cyril Flaig
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)


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.


Finite Element Analysis Condition Number Smoothing Surface Smoothing Procedure Voxel Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Peter Arbenz
    • 1
  • Cyril Flaig
    • 1
  1. 1.Institute of Computational ScienceETH ZürichZürichSwitzerland

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