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DCG
1998
80views more  DCG 1998»
13 years 9 months ago
Fitting a Set of Points by a Circle
Given a set of points S = fp1; : : : ; png in Euclidean d-dimensional space, we address the problem of computing the d-dimensional annulus of smallest width containing the set. We...
Jesus Garcia-Lopez, Pedro A. Ramos, Jack Snoeyink
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 3 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
SIBGRAPI
2006
IEEE
14 years 4 months ago
Point set compression through BSP quantization
This work introduces a new compression scheme for point sets. This scheme relies on an adaptive binary space partition (BSP) which takes into account the geometric structure of the...
Alex Laier Bordignon, Thomas Lewiner, Hélio...
CORR
1999
Springer
222views Education» more  CORR 1999»
13 years 9 months ago
Analysis of approximate nearest neighbor searching with clustered point sets
Abstract. Nearest neighbor searching is a fundamental computational problem. A set of n data points is given in real d-dimensional space, and the problem is to preprocess these poi...
Songrit Maneewongvatana, David M. Mount
ISAAC
2005
Springer
135views Algorithms» more  ISAAC 2005»
14 years 3 months ago
Embedding Point Sets into Plane Graphs of Small Dilation
Let S be a set of points in the plane. What is the minimum possible dilation of all plane graphs that contain S? Even for a set S as simple as five points evenly placed on the ci...
Annette Ebbers-Baumann, Ansgar Grüne, Marek K...