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» Shape Reconstruction with Delaunay Complex
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LATIN
1998
Springer
13 years 9 months ago
Shape Reconstruction with Delaunay Complex
The reconstruction of a shape or surface from a finite set of points is a practically significant and theoretically challenging problem. This paper presents a unified view of algor...
Herbert Edelsbrunner
COMGEO
2008
ACM
13 years 5 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...
INFOCOM
2008
IEEE
13 years 11 months ago
Connectivity-Based Localization of Large Scale Sensor Networks with Complex Shape
—We study the problem of localizing a large sensor network having a complex shape, possibly with holes. A major challenge with respect to such networks is to figure out the corr...
Sol Lederer, Yue Wang, Jie Gao
DCG
2008
86views more  DCG 2008»
13 years 5 months ago
Reconstruction Using Witness Complexes
We present a novel reconstruction algorithm that, given an input point set sampled from an object S, builds a one-parameter family of complexes that approximate S at different sca...
Leonidas J. Guibas, Steve Oudot
COMPGEOM
2010
ACM
13 years 8 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh