For Full-Text PDF, please login, if you are a member of IEICE,|
or go to Pay Per View on menu list, if you are a nonmember of IEICE.
Topology-Oriented Construction of Line Arrangements
Daniel FOGARAS Kokichi SUGIHARA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2002/05/01
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
robust algorithm, topology-oriented, line arrangement,
Full Text: PDF>>
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.