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Proceedings Paper

Mapping of hyperelastic deformable templates using the finite element method
Author(s): Richard D. Rabbitt; Jeffrey A. Weiss; Gary E. Christensen; Michael I. Miller
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Paper Abstract

In the current work we integrate well established techniques from finite deformation continuum mechanics with concepts from pattern recognition and image processing to develop a new finite element (FE) tool that combines image-based data with mechanics. Results track the deformation of material continua in the presence of unknown forces and/or material properties by using image-based data to provide the additional required information. The deformation field is determined from a variational problem that combines both the mechanics and models of the imaging sensors. A nonlinear FE approach is used to approximate the solution of the coupled problem. Results can be applied to (1) track the motion of deforming material and/or, (2) morphological warping of template images or patterns. 2D example results are provided for problems of the second type. One of the present examples was motivated primarily by a problem in medical imaging--mapping intersubject geometrical differences in human anatomical structures--with specific results given for the mapping 2D slices of the human distal femur based on X-ray computed tomographic images.

Paper Details

Date Published: 11 August 1995
PDF: 14 pages
Proc. SPIE 2573, Vision Geometry IV, (11 August 1995); doi: 10.1117/12.216419
Show Author Affiliations
Richard D. Rabbitt, Univ. of Utah (United States)
Jeffrey A. Weiss, Univ. of Utah and Lawrence Livermore National Lab. (United States)
Gary E. Christensen, Mallinckrodt Institute of Radiology/Washington Univ. Medical Ctr. (United States)
Michael I. Miller, Washington Univ. (United States)


Published in SPIE Proceedings Vol. 2573:
Vision Geometry IV
Robert A. Melter; Angela Y. Wu; Fred L. Bookstein; William D. K. Green, Editor(s)

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