Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multiview Reconstruction

Triangulated meshes have become ubiquitous discrete surface representations. In this paper, we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological changes. We introduce a new self-intersection removal algorithm...

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Vydáno v:	IEEE transactions on pattern analysis and machine intelligence Ročník 33; číslo 4; s. 823 - 837
Hlavní autoři:	Zaharescu, A, Boyer, E, Horaud, R
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Los Alamitos, CA IEEE 01.04.2011 IEEE Computer Society The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	3D reconstruction Algorithms Applied sciences Artificial intelligence Computer science; control theory; systems Computer vision deformable objects Evolution Exact sciences and technology Finite element method Image Processing, Computer-Assisted - methods Image reconstruction Imaging, Three-Dimensional - methods Level set manifold mesh Mathematical models Mesh mesh evolution Morphing Pattern Recognition, Automated - methods Pattern recognition. Digital image processing. Computational geometry Reconstruction Representations Robustness Rough surfaces Shape Smoothing methods Studies surface Surface reconstruction Surface roughness Three dimensional displays Topology triangulated mesh Image processing Contour line Automatic mesh generation Adaptive method morphing Deformable body Geometrical model Image reconstruction Surface reconstruction 3D reconstruction Discretization Surface properties Implicit function theorem mesh evolution Mesh generation Computer vision manifold mesh surface Image morphing Mesh Distributed system Topology Multiple view Discrete geometry deformable objects triangulated mesh Tridimensional image
ISSN:	0162-8828, 1939-3539, 1939-3539
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Popis
Shrnutí:	Triangulated meshes have become ubiquitous discrete surface representations. In this paper, we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological changes. We introduce a new self-intersection removal algorithm, TransforMesh, and propose a mesh evolution framework based on this algorithm. Numerous shape modeling applications use surface evolution in order to improve shape properties such as appearance or accuracy. Both explicit and implicit representations can be considered for that purpose. However, explicit mesh representations, while allowing for accurate surface modeling, suffer from the inherent difficulty of reliably dealing with self-intersections and topological changes such as merges and splits. As a consequence, a majority of methods rely on implicit representations of surfaces, e.g., level sets, that naturally overcome these issues. Nevertheless, these methods are based on volumetric discretizations, which introduce an unwanted precision-complexity trade-off. The method that we propose handles topological changes in a robust manner and removes self-intersections, thus overcoming the traditional limitations of mesh-based approaches. To illustrate the effectiveness of TransforMesh, we describe several challenging applications: surface morphing and 3D reconstruction.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 ObjectType-Article-2 ObjectType-Feature-1 content type line 23
ISSN:	0162-8828 1939-3539 1939-3539
DOI:	10.1109/TPAMI.2010.116