Paper
23 June 1993 Digital-image-based finite element analysis for bone microstructure using conjugate gradient and Gaussian filter techniques
Scott J. Hollister, Barbara A. Riemer
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Abstract
Analyzing bone micromechanics has become increasingly necessary for understanding how bone structure is adapted in response to mechanical stimulus. The complex geometry of bone microstructure makes it difficult to use traditional finite element techniques for analysis. The use of finite element modeling procedure based on direct mesh generation from digital images using an Element-By-Element Preconditioned Conjugate Gradient solution technique for analyzing bone microstructure was presented. The results from digitized meshes were compared to smooth mesh results for microstructures of regular geometry to assess the digitized solutions. The digitized solutions were found to match the smooth mesh solutions well except near material boundaries where the digitized solutions exhibited numerical oscillations. A smoothing procedure utilizing Gaussian Filter techniques was investigated for smoothing solution oscillations, but results indicated that the filtering techniques did not significantly smooth the oscillation. In conclusion, digital image based finite element analysis will produce reasonably accurate estimates of stress and strain within microstructures but smoothing techniques for numerical oscillations at material boundaries need to be developed.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Scott J. Hollister and Barbara A. Riemer "Digital-image-based finite element analysis for bone microstructure using conjugate gradient and Gaussian filter techniques", Proc. SPIE 2035, Mathematical Methods in Medical Imaging II, (23 June 1993); https://doi.org/10.1117/12.146616
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Cited by 49 scholarly publications.
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KEYWORDS
Chemical elements

Bone

Gaussian filters

Surface conduction electron emitter displays

Digital imaging

Finite element methods

Tissues

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