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TVCG
2012
184views Hardware» more  TVCG 2012»
11 years 11 months ago
Output-Sensitive Construction of Reeb Graphs
—The Reeb graph of a scalar function represents the evolution of the topology of its level sets. This paper describes a near-optimal output-sensitive algorithm for computing the ...
Harish Doraiswamy, Vijay Natarajan
COMPGEOM
2011
ACM
13 years 29 days ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
COMPGEOM
2010
ACM
14 years 2 months ago
Constructing Reeb graphs using cylinder maps
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing ...
Harish Doraiswamy, Aneesh Sood, Vijay Natarajan
CW
2002
IEEE
14 years 2 months ago
Topological Morphing Using Reeb Graphs
Metamorphosis between 3D objects is often the transformation between a pair of shapes that have the same topology. This paper presents a new model using Reeb graphs and their cont...
Pizzanu Kanonchayos, Tomoyuki Nishita, Yoshihisa S...
COMPGEOM
2003
ACM
14 years 2 months ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...