TransforMesh: a topology-adaptive mesh-based approach to surface evolution

Andrei Zaharescu 1 Edmond Boyer 1 Radu Horaud 1
1 PERCEPTION - Interpretation and Modelling of Images and Videos
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : Most of the algorithms dealing with image based 3-D reconstruction involve the evolution of a surface based on a minimization criterion. The mesh parametrization, while allowing for an accurate surface representation, suffers from the inherent problems of not being able to reliably deal with self-intersections and topology changes. As a consequence, an important number of methods choose implicit representations of surfaces, e.g. level set methods, that naturally handle topology changes and intersections. Nevertheless, these methods rely on space discretizations, which introduce an unwanted precision-complexity trade-off. In this paper we explore a new mesh-based solution that robustly handles topology changes and removes self intersections, therefore overcoming the traditional limitations of this type of approaches. To demonstrate its efficiency, we present results on 3-D surface reconstruction from multiple images and compare them with state-of-the art results.
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Andrei Zaharescu, Edmond Boyer, Radu Horaud. TransforMesh: a topology-adaptive mesh-based approach to surface evolution. ACCV 2007 - 8th Asian Conference on Computer Vision, Nov 2007, Tokyo, Japan. pp.166-175, ⟨10.1007/978-3-540-76390-1_17⟩. ⟨inria-00590245⟩

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