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PAMI
2007
336views more  PAMI 2007»
13 years 7 months ago
Topological Equivalence between a 3D Object and the Reconstruction of Its Digital Image
— Digitization is not as easy as it looks. If one digitizes a 3D object even with a dense sampling grid, the reconstructed digital object may have topological distortions and in ...
Peer Stelldinger, Longin Jan Latecki, Marcelo Siqu...
CAGD
2008
154views more  CAGD 2008»
13 years 7 months ago
From extension of Loop's approximation scheme to interpolatory subdivisions
The minimum-supported bivariate C2-cubic spline on a 6-directional mesh constructed in our previous work [2] can be used to extend Loop's approximation subdivision scheme to ...
Charles K. Chui, Qingtang Jiang
VVS
1998
IEEE
133views Visualization» more  VVS 1998»
13 years 12 months ago
An Accurate Method for Voxelizing Polygon Meshes
The process of generating discrete surfaces in a volumetric representation, termed voxelization, is confronted with topological considerations as well as accuracy and efficiency r...
Jian Huang, Roni Yagel, Vassily Filippov, Yair Kur...
CVPR
2010
IEEE
13 years 10 months ago
Ray Markov Random Fields for Image-Based 3D Modeling: Model and Efficient Inference
In this paper, we present an approach to multi-view image-based 3D reconstruction by statistically inversing the ray-tracing based image generation process. The proposed algorithm...
Shubao Liu, David Cooper
SCALESPACE
2009
Springer
14 years 2 months ago
An Elasticity Approach to Principal Modes of Shape Variation
Abstract. Concepts from elasticity are applied to analyze modes of variation on shapes in two and three dimensions. This approach represents a physically motivated alternative to s...
Martin Rumpf, Benedikt Wirth