Title :
A strain energy approach to regularization in displacement field fits of elastically deforming bodies
Author :
Bogen, Daniel K. ; Rahdert, David A.
Author_Institution :
Dept. of Bioeng., Pennsylvania Univ., Philadelphia, PA, USA
fDate :
6/1/1996 12:00:00 AM
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 rubber-like material. The deformation-fitting problem is solved iteratively using successive approximations of the body´s rotation, which may be non-uniform
Keywords :
curve fitting; elastic deformation; finite element analysis; image processing; iterative methods; smoothing methods; Sobolev smoothing; approximations; deformation-fitting problems; displacement field fitting; elastically deforming bodies; elasticity; finite element analysis; iterative method; rotation-insensitive regularization; rubber-like material; strain energy; Biomedical engineering; Capacitive sensors; Deformable models; Elasticity; Equations; Geometry; Shape; Smoothing methods; Springs; Tracking;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
