L<inf>1</inf>-based photometric stereo via augmented lagrange multiplier method

Abstract

Recently, the sparsity model has been applied to photometric stereo by modeling non-Lambertian artifacts as sparse components. As one of these efforts, we present l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -based photometric stereo for the non-Lambertian corruptions. A solution method was derived using the Augmented Lagrange Multiplier (ALM) method, which effectively solves the constrained problem by solving the sub-problems for surface normal and sparse corruptions iteratively. Experiments demonstrate the applicability of our method by comparing with the Least Square method and the l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> baseline method.