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CVPR
2007
IEEE
16 years 1 months ago
Topology matching for 3D video compression
This paper presents a new technique to reduce the storage cost of high quality 3D video. In 3D video [12], a sequence of 3D objects represents scenes in motion. Every frame is com...
Tony Tung, Francis Schmitt, Takashi Matsuyama
MICCAI
2004
Springer
16 years 21 days ago
Construction of 3D Dynamic Statistical Deformable Models for Complex Topological Shapes
Abstract. This paper describes the construction of 3D dynamic statistical deformable models for complex topological shapes. It significantly extents the existing framework in that ...
Paramate Horkaew, Guang-Zhong Yang
JMIV
2006
78views more  JMIV 2006»
14 years 11 months ago
Axiomatic Digital Topology
The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. They define a class of locally finite (LF) topological space...
Vladimir Kovalevsky
DCG
2007
83views more  DCG 2007»
14 years 11 months ago
The Genus of a Digital Image Boundary Is Determined by Its Foreground, Background, and Reeb Graphs
Weprovethatthegenusoftheboundaryofadigitalimageispreciselyhalfofthe sum of the cycle ranks of three particular graphs: the “foreground graph” and “background graph,” which ...
Lowell Abrams, Donniell E. Fishkind

Publication
289views
13 years 10 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi