Abstract

Regularization and related approaches to integrating and interpolating visual information may be formulated as special cases of the finite-element method (FEM), which is the standard engineering tool for dynamic analysis. By using the more general FEM formulation, I show that many of the surface-analysis problems that occur in vision have closed-form solutions. These solutions are obtained by posing the problem in terms of the eigenvectors (free-vibration modes) of the system of equations, which together form a unique, multiscale orthonormal basis set.

© 1990 Optical Society of America