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COMPGEOM
2007
ACM
15 years 10 months ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...
DGCI
2006
Springer
15 years 10 months ago
Exact Euclidean Medial Axis in Higher Resolution
Abstract. The notion of skeleton plays a major role in shape analysis. Some usually desirable characteristics of a skeleton are: sufficient for the reconstruction of the original o...
André Vital Saúde, Michel Couprie, R...
DGCI
2006
Springer
15 years 10 months ago
Topological and Geometrical Reconstruction of Complex Objects on Irregular Isothetic Grids
In this paper, we address the problem of vectorization of binary images on irregular isothetic grids. The representation of graphical elements by lines is common in document analys...
Antoine Vacavant, David Coeurjolly, Laure Tougne
COMPGEOM
2001
ACM
15 years 10 months ago
Efficient and small representation of line arrangements with applications
This paper addresses the problem of lossy compression of arrangements. Given an arrangement of n lines in the plane, we show how to construct another arrangement consisting of man...
David P. Dobkin, Ayellet Tal
COMPGEOM
2000
ACM
15 years 10 months ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...