Topology-Oriented Construction of Line Arrangements
Summary :
The paper presents a topology-oriented robust algorithm for the incremental construction of line arrangements. In order to achieve a robust implementation, the topological and geometrical computations are strictly separated. The topological part is proved to be reliable without any assumption on the accuracy of the geometrical part. A self-correcting property is introduced to minimize the effect of numerical errors. Computational experiments show how the self-correcting property works, and we also discuss some applications of the algorithm.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.5 pp.930-937
- Publication Date
- 2002/05/01
- Publicized
- Online ISSN
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- Type of Manuscript
- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
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Daniel FOGARAS, Kokichi SUGIHARA, "Topology-Oriented Construction of Line Arrangements" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 5, pp. 930-937, May 2002, doi: .
Abstract: The paper presents a topology-oriented robust algorithm for the incremental construction of line arrangements. In order to achieve a robust implementation, the topological and geometrical computations are strictly separated. The topological part is proved to be reliable without any assumption on the accuracy of the geometrical part. A self-correcting property is introduced to minimize the effect of numerical errors. Computational experiments show how the self-correcting property works, and we also discuss some applications of the algorithm.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_5_930/_p
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@ARTICLE{e85-a_5_930,
author={Daniel FOGARAS, Kokichi SUGIHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Topology-Oriented Construction of Line Arrangements},
year={2002},
volume={E85-A},
number={5},
pages={930-937},
abstract={The paper presents a topology-oriented robust algorithm for the incremental construction of line arrangements. In order to achieve a robust implementation, the topological and geometrical computations are strictly separated. The topological part is proved to be reliable without any assumption on the accuracy of the geometrical part. A self-correcting property is introduced to minimize the effect of numerical errors. Computational experiments show how the self-correcting property works, and we also discuss some applications of the algorithm.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Topology-Oriented Construction of Line Arrangements
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 930
EP - 937
AU - Daniel FOGARAS
AU - Kokichi SUGIHARA
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2002
AB - The paper presents a topology-oriented robust algorithm for the incremental construction of line arrangements. In order to achieve a robust implementation, the topological and geometrical computations are strictly separated. The topological part is proved to be reliable without any assumption on the accuracy of the geometrical part. A self-correcting property is introduced to minimize the effect of numerical errors. Computational experiments show how the self-correcting property works, and we also discuss some applications of the algorithm.
ER -
English
