We present a method to estimate a positive semidefinite matrix by linear least squares, and we apply this method to the estimation of local compliance matrices during deformable object modeling. Estimation of physical quantities from measurements has to consider noise due to measurement and modeling inaccuracy. Enforcing constraints during estimation can guarantee physically plausible results even under difficult measurement conditions.
['Nathan Krislock', 'Jochen Lang', 'James M. Varah', 'Dinesh K. Pai', 'Hans-Peter Seidel']
Local compliance estimation via positive semidefinite constrained least squares