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

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