Variational Methods for Normal Integration
QUÉAU, Yvain
Technische Universität Munchen - Technical University Munich - Université Technique de Munich [TUM]
Technische Universität Munchen - Technical University Munich - Université Technique de Munich [TUM]
AUJOL, Jean-François
Institut de Mathématiques de Bordeaux [IMB]
Institut universitaire de France [IUF]
Institut de Mathématiques de Bordeaux [IMB]
Institut universitaire de France [IUF]
QUÉAU, Yvain
Technische Universität Munchen - Technical University Munich - Université Technique de Munich [TUM]
Technische Universität Munchen - Technical University Munich - Université Technique de Munich [TUM]
AUJOL, Jean-François
Institut de Mathématiques de Bordeaux [IMB]
Institut universitaire de France [IUF]
< Réduire
Institut de Mathématiques de Bordeaux [IMB]
Institut universitaire de France [IUF]
Langue
en
Document de travail - Pré-publication
Résumé en anglais
The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, pho-tometric stereo, deflectometry, etc. Inspired by edge-preserving methods ...Lire la suite >
The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, pho-tometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image processing, we study in this paper several variational approaches for normal integration , with a focus on non-rectangular domains, free boundary and depth discontinuities. We first introduce a new discretization for quadratic integration, which is designed to ensure both fast recovery and the ability to handle non-rectangular domains with a free boundary. Yet, with this solver, discontinuous surfaces can be handled only if the scene is first segmented into pieces without discontinuity. Hence, we then discuss several discontinuity-preserving strategies. Those inspired, respectively , by the Mumford-Shah segmentation method and by anisotropic diffusion, are shown to be the most effective for recovering discontinuities.< Réduire
Mots clés en anglais
3D-reconstruction
integration
normal field
gradient field
variational methods
photometric stereo
shape-from-shading
Origine
Importé de halUnités de recherche