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GD
2004
Springer
15 years 9 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
15 years 6 months 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...
184
Voted
CCCG
2010
15 years 5 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»
15 years 3 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...
210
Voted
JPDC
2007
138views more  JPDC 2007»
15 years 3 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