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COMPGEOM
2006
ACM
15 years 10 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
COMPGEOM
2006
ACM
15 years 10 months ago
Lower bounds on locality sensitive hashing
Given a metric space (X, dX), c ≥ 1, r > 0, and p, q ∈ [0, 1], a distribution over mappings H : X → N is called a (r, cr, p, q)-sensitive hash family if any two points in...
Rajeev Motwani, Assaf Naor, Rina Panigrahy
73
Voted
COMPGEOM
2006
ACM
15 years 10 months ago
On realistic terrains
Esther Moet, Marc J. van Kreveld, A. Frank van der...
77
Voted
COMPGEOM
2006
ACM
15 years 10 months ago
Tight bounds for connecting sites across barriers
David W. Krumme, Eynat Rafalin, Diane L. Souvaine,...
COMPGEOM
2006
ACM
15 years 10 months ago
Envelope surfaces
We construct a class of envelope surfaces in Rd , more precisely envelopes of balls. An envelope surface is a closed C1 (tangent continuous) manifold wrapping tightly around the u...
Nico Kruithof, Gert Vegter
97
Voted
COMPGEOM
2006
ACM
15 years 10 months ago
On overlays and minimization diagrams
The overlay of 2 ≤ m ≤ d minimization diagrams of n surfaces in Rd is isomorphic to a substructure of a suitably constructed minimization diagram of mn surfaces in Rd+m−1 . ...
Vladlen Koltun, Micha Sharir
COMPGEOM
2006
ACM
15 years 10 months ago
Colored intersection searching via sparse rectangular matrix multiplication
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
Haim Kaplan, Micha Sharir, Elad Verbin
81
Voted
COMPGEOM
2006
ACM
15 years 10 months ago
Illustrating the streaming construction of 2D delaunay triangulations
Martin Isenburg, Yuanxin Liu, Jonathan Richard She...
121
Voted
COMPGEOM
2006
ACM
15 years 10 months ago
Refolding planar polygons
Abstract This paper describes an algorithm for generating a guaranteed intersectionfree interpolation sequence between any pair of compatible polygons. Our algorithm builds on prio...
Hayley N. Iben, James F. O'Brien, Erik D. Demaine