In this paper we propose a new method to solve the problem of uncalibrated photometric stereo, making very weak assumptions on the properties of the scene to be reconstructed. Our goal is to solve the generalized bas-relief ambiguity (GBR) by performing a total variation regularization of both the estimated normal field and albedo. Unlike most of the previous attempts to solve this ambiguity, o...

This material supplements some sections of the paper entitled “Monte-Carlo SURE: A Black-Box Optimization of Regularization Parameters for General Denoising Algorithms”. Here, we elaborate on the solution to the differentiability issue associated with the Monte-Carlo divergence estimation proposed (in Theorem 2) in the paper. Firstly, we verify the validity of the Taylor expansion-based argumen...

Total variation denoising (TVD) is an approach for noise reduction developed so as to preserve sharp edges in the underlying signal. Unlike a conventional low-pass lter, TV denoising is de ned in terms of an optimization problem. This module describes an algorithm for TV denoising derived using the majorization-minimization (MM) approach, developed by Figueiredo et al. [ICIP 2006]. To keep it s...