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COMPGEOM
2005
ACM
13 years 10 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»
14 years 1 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
13 years 8 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»
13 years 10 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
14 years 10 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