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» Shape Reconstruction with Delaunay Complex
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LATIN
1998
Springer
15 years 1 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
14 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...
INFOCOM
2008
IEEE
15 years 3 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»
14 years 9 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
15 years 1 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