Selim Esedoglu

Title: TVL1 models for imaging: global optimization and geometric properties: Part II

Abstract: We first discuss how the convex formulation of two-phase, piecewise constant image segmentation motivated by the L1 fidelity version of the ROF model allows adapting the convex duality based optimization methods developed originally for the standard ROF model to the context of image segmentation. We also briefly indicate recent work on applying these ideas to other related shape optimization problems. Then, we shift focus and discuss the correct way to generalize L1 regularization to the context of geometry denoising, which is a standard problem (also called surface fairing) in computer graphics.