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DCG
2008
86views more  DCG 2008»
13 years 11 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
CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 11 months ago
Communication-Efficient Construction of the Plane Localized Delaunay Graph
Let V be a finite set of points in the plane. We present a 2-local algorithm that constructs a plane 4 3 9 -spanner of the unit-disk graph UDG(V ). This algorithm makes only one ...
Prosenjit Bose, Paz Carmi, Michiel H. M. Smid, Dam...
CCCG
2009
14 years 19 days ago
On the Dilation of Delaunay Triangulations of Points in Convex Position
Let S be a finite set of points in the Euclidean plane, and let E be the complete graph whose point-set is S. Chew, in 1986, proved a lower bound of /2 on the stretch factor of th...
Shiliang Cui, Iyad A. Kanj, Ge Xia
CCCG
2009
14 years 19 days ago
Relaxed Gabriel Graphs
We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with skeletons for [0, 1]...
Prosenjit Bose, Jean Cardinal, Sébastien Co...
APDC
1997
14 years 26 days ago
An Improved Parallel Algorithm for Delaunay Triangulation on Distributed Memory Parallel Computers
Delaunaytriangulationhas beenmuchusedin suchapplicationsas volumerendering, shape representation, terrain modeling and so on. The main disadvantage of Delaunay triangulationis lar...
Sangyoon Lee, Chan-Ik Park, Chan-Mo Park
SODA
2003
ACM
112views Algorithms» more  SODA 2003»
14 years 26 days ago
Perturbations and vertex removal in a 3D delaunay triangulation
Though Delaunay triangulations are very well known geometric data structures, the problem of the robust removal of a vertex in a three-dimensional Delaunay triangulation is still ...
Olivier Devillers, Monique Teillaud
SGP
2003
14 years 26 days ago
Provably Good Surface Sampling and Approximation
We present an algorithm for meshing surfaces that is a simple adaptation of a greedy “farthest point” technique proposed by Chew. Given a surface S, it progressively adds poin...
Steve Oudot, Jean-Daniel Boissonnat
WSCG
2004
205views more  WSCG 2004»
14 years 26 days ago
Visualisation System Based on Image Warping and Delaunay Triangulation of the Space
In this article we present a visualisation algorithm based on image warping. A source data for the algorithm is a set of images with colour and depth information rendered for the ...
Przemyslaw Kozankiewicz
VCIP
2001
199views Communications» more  VCIP 2001»
14 years 27 days ago
Estimation of large-amplitude motion and disparity fields: application to intermediate view reconstruction
This paper describes a method for establishing dense correspondence between two images in a video sequence (motion) or in a stereo pair (disparity) in case of large displacements....
Moustapha Kardouchi, Janusz Konrad, Carlos V&aacut...
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
14 years 27 days ago
Static and kinetic geometric spanners with applications
It is well known that the Delaunay Triangulation is a spanner graph of its vertices. In this paper we show that any bounded aspect ratio triangulation in two and three dimensions ...
Menelaos I. Karavelas, Leonidas J. Guibas