Analytical Solution of Shape from Shading Problem

Seong Ik CHO , Hideo SAITO , and Shinji OZAWA
Department of Electrical Engineering,
Keio University, Yokohama-shi, 223, Japan
{sicho,saito,ozawa}@ozawa.elec.keio.ac.jp

Abstract:

A new geometrical approach in solving the shape from shading problem of Lambertian model is discussed. It is shown that this problem is bound by two local constraints through the global and local geometrical analysis and through the direct geometrical interpretation of the problem. The analytical solutions, which are continuous and which have two degrees of freedom due to the non-linear property of the problem, are derived. This proves existence and non-uniqueness of the solution.

HTML Version

 
• 1 Introduction
• 2 Concept of geometrical solution
• 3 Derivation of analytical solution
• 4 Discussions and conclusions
• References

Postscript Version