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» Computational Topology for Shape Modeling
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PG
2000
IEEE
14 years 1 months ago
A New Paradigm for Changing Topology during Subdivision Modeling
In this paper, we present a new paradigm that allows dynamically changing the topology of 2-manifold polygonal meshes. Our new paradigm always guarantees topological consistency o...
Ergun Akleman, Vinod Srinivasan, Jianer Chen
ICCV
2007
IEEE
14 years 11 months ago
Rock, Paper, and Scissors: extrinsic vs. intrinsic similarity of non-rigid shapes
This paper explores similarity criteria between non-rigid shapes. Broadly speaking, such criteria are divided into intrinsic and extrinsic, the first referring to the metric struc...
Alexander M. Bronstein, Michael M. Bronstein, Ron ...
CVPR
2010
IEEE
14 years 4 months ago
Convex Shape Decomposition
In this paper, we propose a new shape decomposition method, called convex shape decomposition. We formalize the convex decomposition problem as an integer linear programming probl...
Liu Hairong, Longin Jan Latecki, Liu Wenyu
SGP
2007
13 years 11 months ago
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
A deformation invariant representation of surfaces, the GPS embedding, is introduced using the eigenvalues and eigenfunctions of the Laplace-Beltrami differential operator. Notabl...
Raif M. Rustamov
3DIM
2003
IEEE
14 years 2 months ago
Deformable Model with Adaptive Mesh and Automated Topology Changes
Due to their general and robust formulation deformable models offer a very appealing approach to 3D image segmentation. However there is a trade-off between model genericity, mode...
Jacques-Olivier Lachaud, Benjamin Taton