A viscosity solutions approach to shape-from-shading. (English) Zbl 0754.65069

Rouy, Elisabeth; Tourin, Agnès

SIAM J. Numer. Anal. 29, No. 3, 867-884 (1992).

A new method that consists in solving directly the image irradiance equation is proposed. The study is restricted to continuous shapes. The viscosity solutions are used, starting with the theory developed by M. G. Crandall and P. L. Lions [Trans. Am. Math. Soc. 277, 1-42 (1983; Zbl 0599.35024)]. Numerical results are included.

Reviewer: E.V.Nicolau (Bucureşti)

MSC:

65K10	Numerical optimization and variational techniques
49L99	Hamilton-Jacobi theories
49L20	Dynamic programming in optimal control and differential games

Keywords:

Hamilton-Jacobi equations; dynamic programming; Lambertian surface; Hamilton-Jacobi-Bellman equation; shape-from-shading; image irradiance equation; viscosity solutions; Numerical results