Edge-preserving integration of a normal field: Weighted least-squares, TV and L1 approaches

Abstract

We introduce several new functionals, inspired from variational image denoising models, for recovering a piecewise-smooth surface from a dense estimation of its normal field (Sample codes for testing the proposed methods can be found on http://ubee.enseeiht.fr/photome tricstereo/). In the weighted least-squares approach, the non-differentiable elements of the surface are a priori detected so as to weight the least-squares model. To avoid this detection step, we introduce reweighted least-squares for minimising an isotropic TV-like functional, and split-Bregman iterations for L1 minimisation.