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@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Eigenwillig, Arno
Kerber, Michael
dblp
dblp
Editor(s):
BibTeX cite key*:
ek-eae2aoaac-08
Title, Booktitle
Title*:
Exact and Efficient 2D-Arrangements of Arbitrary Algebraic Curves
ek-arrangements-2008-authprep.pdf (259.2 KB)
Booktitle*:
Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA08)
Event, URLs
Conference URL::
http://www.siam.org/meetings/da08/
Downloading URL:
Event Address*:
San Francisco, USA
Language:
English
Event Date*
(no longer used):
Organization:
ACM-SIAM
Event Start Date:
20 January 2008
Event End Date:
22 January 2008
Publisher
Name*:
ACM/SIAM
This proceedings has no publisher!
URL:
Address*:
New York, USA
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
January
Pages:
122-131
Year*:
2008
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
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 reduce to cylindrical algebraic decompositions of the plane for one or two curves. We compute them by a new and efficient method that combines adaptive-precision root finding (the Bitstream Descartes method of Eigenwillig et~al.,\ 2005) with a small number of symbolic computations, and that delivers the exact result in all cases. Thus we obtain an algorithm which produces the mathematically true arrangement, undistorted by rounding error, for any set of input segments. Our algorithm is implemented in the EXACUS library AlciX. We report on experiments; they indicate the efficiency of our approach.
Copyright Message:
Copyright SIAM 2008. This is an author-prepared version of the article
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Access Level:
Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Audience:
experts only
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{ek-eae2aoaac-08,
AUTHOR = {Eigenwillig, Arno and Kerber, Michael},
TITLE = {Exact and Efficient 2D-Arrangements of Arbitrary Algebraic Curves},
BOOKTITLE = {Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA08)},
PUBLISHER = {ACM/SIAM},
YEAR = {2008},
ORGANIZATION = {ACM-SIAM},
PAGES = {122--131},
ADDRESS = {San Francisco, USA},
MONTH = {January},
}


Entry last modified by Michael Kerber, 03/03/2009
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Editor(s)
Michael Kerber
Created
10/10/2007 05:20:33 PM
Revisions
4.
3.
2.
1.
0.
Editor(s)
Michael Kerber
Michael Kerber
Michael Kerber
Michael Kerber
Michael Kerber
Edit Dates
01/29/2008 09:51:00 AM
10/11/2007 12:25:50 PM
10/11/2007 12:24:50 PM
10/10/2007 05:21:24 PM
10/10/2007 05:20:33 PM


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