Dk. Bogen et Da. Rahdert, A STRAIN-ENERGY APPROACH TO REGULARIZATION IN DISPLACEMENT FIELD FITSOF ELASTICALLY DEFORMING BODIES, IEEE transactions on pattern analysis and machine intelligence, 18(6), 1996, pp. 629-635
Current methods for regularizing displacement fields in deformation-fi
tting problems are sensitive to rotation. We propose a rotation-insens
itive regularization functional which is the true strain energy for a
rubberlike material. The deformation-fitting problem is solved iterati
vely using successive approximations of the body's rotation, which may
be nonuniform.