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COMPGEOM
1997
ACM
15 years 2 months ago
Algorithmic Tolerances and Semantics in Data Exchange
Within industrial contexts, a common view of the level of confidence needed in CAD data transfer processes may be expressed as “1 don’t mind if the [CAD data- tmnsfer] algorit...
Thomas J. Peters, Neil F. Stewart, David R. Fergus...
COMPGEOM
1996
ACM
15 years 2 months ago
Robust Adaptive Floating-Point Geometric Predicates
Fast C implementations of four geometric predicates, the 2D and 3D orientation and incircle tests, are publicly available. Their inputs are ordinary single or double precision flo...
Jonathan Richard Shewchuk
COMPGEOM
1993
ACM
15 years 1 months ago
Worst-Case Bounds for Subadditive Geometric Graphs
We consider graphs such as the minimum spanning tree, minimum Steiner tree, minimum matching, and traveling salesman tour for n points in the d-dimensional unit cube. For each of ...
Marshall W. Bern, David Eppstein
COMPGEOM
1994
ACM
15 years 1 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
COMPGEOM
1990
ACM
15 years 1 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...