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A Strain Energy Approach to Regularization in Displacement Field Fits of Elastically Deforming Bodies
June 1996 (vol. 18 no. 6)
pp. 629-635

Abstract—Current methods for regularizing displacement fields in deformation-fitting problems are sensitive to rotation. We propose a rotation-insensitive regularization functional which is the true strain energy for a rubberlike material. The deformation-fitting problem is solved iteratively using successive approximations of the body's rotation, which may be nonuniform.

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Index Terms:
Smoothing, smoothness, regularization, strain, constraints, deformation, energy, hyperelasticity, reconstruction, elasticity.
Citation:
Daniel K. Bogen, David A. Rahdert, "A Strain Energy Approach to Regularization in Displacement Field Fits of Elastically Deforming Bodies," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 18, no. 6, pp. 629-635, June 1996, doi:10.1109/34.506413
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