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Author, Editor

Author(s):

Eigenwillig, Arno
Kettner, Lutz
Schömer, Elmar
Wolpert, Nicola

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Not MPG Author(s):

Schömer, Elmar

Editor(s):





BibTeX cite key*:

Eigenwillig2004a

Title, Booktitle

Title*:

Complete, Exact and Efficient Computations with Cubic Curves

Booktitle*:

Proceedings of the Twentieth Annual Symposium on Computational Geometry : (SCG'04)

Event, URLs

URL of the conference:

http://socg.poly.edu

URL for downloading the paper:

http://doi.acm.org/10.1145/997817.997879

Event Address*:

Brooklyn, New York, USA

Language:

English

Event Date*
(no longer used):


Organization:

Association for Computing Machinery (ACM)

Event Start Date:

9 June 2004

Event End Date:

11 June 2004

Publisher

Name*:

ACM

URL:

http://www.acm.org/

Address*:

New York, USA

Type:


Vol, No, Year, pp.

Series:


Volume:


Number:


Month:

June

Pages:

409-418

Year*:

2004

VG Wort Pages:

47

ISBN/ISSN:


Sequence Number:


DOI:




Note, Abstract, ©


(LaTeX) Abstract:

The Bentley-Ottmann sweep-line method can be used to compute the
arrangement of planar curves provided a number of geometric
primitives operating on the curves are available. We discuss the
mathematics of the primitives for planar algebraic curves of degree three or less and derive efficient realizations.
As a result, we obtain a complete, exact, and efficient
algorithm for computing arrangements of cubic curves.
Conics and cubic splines are special cases of cubic curves.

The algorithm is complete in that it handles all possible
degeneracies including singularities. It is exact in that it
provides the mathematically correct result. It is efficient in
that it can handle hundreds of curves with a quarter million of
segments in the final arrangement.

URL for the Abstract:

http://www.mpi-sb.mpg.de/~kettner/pub/cubics_scg_04_a.html



Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Algorithms and Complexity Group

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{Eigenwillig2004a,
AUTHOR = {Eigenwillig, Arno and Kettner, Lutz and Sch{\"o}mer, Elmar and Wolpert, Nicola},
TITLE = {Complete, Exact and Efficient Computations with Cubic Curves},
BOOKTITLE = {Proceedings of the Twentieth Annual Symposium on Computational Geometry : (SCG'04)},
PUBLISHER = {ACM},
YEAR = {2004},
ORGANIZATION = {Association for Computing Machinery (ACM)},
PAGES = {409--418},
ADDRESS = {Brooklyn, New York, USA},
MONTH = {June},
}


Entry last modified by Christine Kiesel, 06/06/2005
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Editor(s)
Arno Eigenwillig
Created
01/12/2005 12:25:01 PM
Revisions
3.
2.
1.
0.
Editor(s)
Christine Kiesel
Sabine Krott
Lutz Kettner
Arno Eigenwillig
Edit Dates
06.06.2005 15:29:36
02.02.2005 10:54:31
01/24/2005 02:49:33 PM
01/12/2005 12:25:02 PM
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