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3DIM
2003
IEEE
15 years 3 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
COMGEO
2008
ACM
14 years 10 months ago
Recursive geometry of the flow complex and topology of the flow complex filtration
The flow complex is a geometric structure, similar to the Delaunay tessellation, to organize a set of (weighted) points in Rk. Flow shapes are topological spaces corresponding to ...
Kevin Buchin, Tamal K. Dey, Joachim Giesen, Matthi...
108
Voted
CVPR
2007
IEEE
16 years 4 days ago
Topology Preserving Log-Unbiased Nonlinear Image Registration: Theory and Implementation
In this paper, we present a novel framework for constructing large deformation log-unbiased image registration models that generate theoretically and intuitively correct deformati...
Igor Yanovsky, Paul M. Thompson, Stanley Osher, Al...
79
Voted
ICPR
2008
IEEE
15 years 4 months ago
Linear time recognition algorithms for topological invariants in 3D
In this paper, we design linear time algorithms to recognize and determine topological invariants such as genus and homology groups in 3D. These invariants can be used to identify...
Li Chen, Yongwu Rong
SMA
2010
ACM
164views Solid Modeling» more  SMA 2010»
14 years 10 months ago
Topologically guaranteed univariate solutions of underconstrained polynomial systems via no-loop and single-component tests
We present an algorithm which robustly computes the intersection curve(s) of an under-constrained piecewise polynomial system consisting of n equations with n + 1 unknowns. The so...
Michael Barton, Gershon Elber, Iddo Hanniel