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COMGEO
2008
ACM
13 years 9 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...
JLP
2010
110views more  JLP 2010»
13 years 7 months ago
Similarity, topology, and uniformity
We generalize various notions of generalized metrics even further to one general concept comprising them all. For convenience, we turn around the ordering in the target domain of ...
Reinhold Heckmann
CCCG
2010
13 years 10 months ago
Optimal encoding of triangular and quadrangular meshes with fixed topology
Extending a bijection recently introduced by Poulalhon and Schaeffer [15] for triangulations of the sphere we design an efficient algorithm for encoding (topological) triangulatio...
Luca Castelli Aleardi, Eric Fusy, Thomas Lewiner
ICPR
2008
IEEE
14 years 3 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»
13 years 9 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