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» The Geometry of Coin-Weighing Problems
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COMPGEOM
1997
ACM
15 years 10 months ago
Approximate Nearest Neighbor Queries Revisited
This paper proposes new methods to answer approximate nearest neighbor queries on a set of n points in d-dimensional Euclidean space. For any xed constant d, a data structure with...
Timothy M. Chan
COMPGEOM
1994
ACM
15 years 10 months ago
Matching Shapes with a Reference Point
For two given point sets, we present a very simple (almost trivial) algorithm to translate one set so that the Hausdor distance between the two sets is not larger than a constant ...
Helmut Alt, Oswin Aichholzer, Günter Rote
SIGGRAPH
1992
ACM
15 years 10 months ago
Surface reconstruction from unorganized points
We describe and demonstrate an algorithm that takes as input an unorganized set of points fx1; : : : ; xng IR3 on or near an unknown manifold M, and produces as output a simplicia...
Hugues Hoppe, Tony DeRose, Tom Duchamp, John Alan ...
COMPGEOM
1990
ACM
15 years 10 months ago
Minimum-Link Paths Among Obstacles in the Plane
Given a set of nonintersecting polygonal obstacles in the plane, the link distance between two points s and t is the minimum number of edges required to form a polygonal path conn...
Joseph S. B. Mitchell, Günter Rote, Gerhard J...
COMPGEOM
2007
ACM
15 years 10 months ago
A space-optimal data-stream algorithm for coresets in the plane
Given a point set P R2 , a subset Q P is an -kernel of P if for every slab W containing Q, the (1+)-expansion of W also contains P. We present a data-stream algorithm for mainta...
Pankaj K. Agarwal, Hai Yu