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» Constructing Reeb graphs using cylinder maps
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COMPGEOM
2010
ACM
13 years 10 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
13 years 10 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
13 years 10 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...
SMI
2008
IEEE
181views Image Analysis» more  SMI 2008»
13 years 12 months ago
Example based skeletonization using harmonic one-forms
This paper presents a method to extract skeletons using examples. Our method is based on the observation that many deformations in real world applications are isometric or near is...
Ying He 0001, Xian Xiao, Hock Soon Seah
IJRR
2002
126views more  IJRR 2002»
13 years 5 months ago
Sensor-based Coverage of Unknown Environments
The goal of coverage path planning is to determine a path that passes a detector over all points in an environment. This work prescribes a provably complete coverage path planner ...
Ercan U. Acar, Howie Choset