Twist Method for Surface Approximation
by
Ye Jieping
Department of Computational Science, National University of Singapore
Coauthors: Li Qi

A method for fairing the `twist vectors' at the grid points for an interpolating surface over a rectangular network of curves is given. It is the continumm of our previous work [Qu, R. and Ye, J., 1999], where the generalized form of the thin plate model is investigated. But this model assumes small deflections of the surface curvatures and this restricts its applications. In this paper, a new method based on twist dependent quadratic functional is used to fair the twist vector. This twist vector is determined iteratively by minimizing this functional and can be obtained by solving a well defined linear system.

Date received: February 9, 1999