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GD
2004
Springer
14 years 3 months ago
Long Alternating Paths in Bicolored Point Sets
Given n red and n blue points in convex position in the plane, we show that there exists a noncrossing alternating path of length n + c n log n . We disprove a conjecture of Erd˝o...
Jan Kyncl, János Pach, Géza Tó...
SGP
2007
14 years 12 days ago
Voronoi-based variational reconstruction of unoriented point sets
We introduce an algorithm for reconstructing watertight surfaces from unoriented point sets. Using the Voronoi diagram of the input point set, we deduce a tensor field whose princ...
Pierre Alliez, David Cohen-Steiner, Yiying Tong, M...
CCCG
2010
13 years 11 months ago
The projection median of a set of points in Rd
The projection median of a finite set of points in R2 was introduced by Durocher and Kirkpatrick [5]. They proved the projection median in R2 provides a better approximation of th...
Riddhipratim Basu, Bhaswar Bhattacharya, Tanmoy Ta...
CGF
2008
227views more  CGF 2008»
13 years 10 months ago
Dynamic Sampling and Rendering of Algebraic Point Set Surfaces
Algebraic Point Set Surfaces (APSS) define a smooth surface from a set of points using local moving least-squares (MLS) fitting of algebraic spheres. In this paper we first revisi...
Gaël Guennebaud, Marcel Germann, Markus H. Gr...
JPDC
2007
138views more  JPDC 2007»
13 years 10 months ago
Distributed computation of the knn graph for large high-dimensional point sets
High-dimensional problems arising from robot motion planning, biology, data mining, and geographic information systems often require the computation of k nearest neighbor (knn) gr...
Erion Plaku, Lydia E. Kavraki