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COMPGEOM
2005
ACM
15 years 1 months ago
Multi-pass geometric algorithms
We initiate the study of exact geometric algorithms that require limited storage and make only a small number of passes over the input. Fundamental problems such as lowdimensional...
Timothy M. Chan, Eric Y. Chen
ESA
2004
Springer
117views Algorithms» more  ESA 2004»
15 years 5 months ago
Classroom Examples of Robustness Problems in Geometric Computations
The algorithms of computational geometry are designed for a machine model with exact real arithmetic. Substituting floating-point arithmetic for the assumed real arithmetic may c...
Lutz Kettner, Kurt Mehlhorn, Sylvain Pion, Stefan ...
CAD
2008
Springer
14 years 12 months ago
Approximate computation of curves on B-spline surfaces
Curves on surfaces play an important role in computer-aided geometric design. Because of the considerably high degree of exact curves on surfaces, approximation algorithms are pre...
Yi-Jun Yang, Song Cao, Jun-Hai Yong, Hui Zhang, Je...
SODA
2008
ACM
106views Algorithms» more  SODA 2008»
15 years 1 months ago
Exact and efficient 2D-arrangements of arbitrary algebraic curves
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
Arno Eigenwillig, Michael Kerber
ECCV
2006
Springer
16 years 1 months ago
Reconstruction of Canal Surfaces from Single Images Under Exact Perspective
This paper addresses the reconstruction of canal surfaces from single images. A canal surface is obtained as the envelope of a family of spheres of constant radius, whose center is...
Vincenzo Caglioti, Alessandro Giusti