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Redrawing a Graph within a Geometric Tolerance

Abellanas, Manuel and Hurtado, Ferran and Ramos, Pedro (1995) Redrawing a Graph within a Geometric Tolerance. [Conference Paper]

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Abstract

In this paper we investigate some applications of the concept of tolerance to graph drawing. Given a geometric structure, the tolerance is a measure of how much the set of points can be arbitrarily changed while preserving the structure. Then, if we have a layout of a graph and we want to redraw the graph while preserving the mental map (captured by some proximility graph of the set of nodes), the tolerance of this proximity graph can be a useful tool. We present an optimal O(n log n) algorithm for computing the tolerance of the Delaunay triangulation of a set of points and propose some variations with applications to interactive environments.

Item Type:Conference Paper
Classifications:Z Theory > Z.250 Geometry
G Algorithms and Complexity > G.560 Geometry
P Styles > P.999 Others
ID Code:186
Deposited By:Selbach, Anna
Deposited On:02 Dec 2004
Last Modified:18 Sep 2008 13:08

Repository Staff Only: item control page

References

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M. Abellanas, F. Hurtado, P. Ramos: Tolerance of geometric structures, Proc. 6th Canadian Conference on Computational Geometry (1994).

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P. Ramos: Tolerancia de Estructuras Geométricas y Combinatorias Ph.D. Thesis (in spanish), in preparation.

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