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» Topological Morphing Using Reeb Graphs
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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
2004
ACM
14 years 2 months ago
Time-varying reeb graphs for continuous space-time data
The Reeb graph is a useful tool in visualizing real-valued data obtained from computational simulations of physical processes. We characterize the evolution of the Reeb graph of a...
Herbert Edelsbrunner, John Harer, Ajith Mascarenha...
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
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...
ACCV
2010
Springer
13 years 4 months ago
Earth Mover's Morphing: Topology-Free Shape Morphing Using Cluster-Based EMD Flows
Abstract. This paper describes a method for topology-free shape morphing based on region cluster-based Earth Mover's Distance (EMD) flows, since existing methods for closed cu...
Yasushi Makihara, Yasushi Yagi