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Author, Editor

Author(s):

Wolpert, Nicola

dblp



Editor(s):



Not MPII Editor(s):

Di Battista, Giuseppe
Zwick, Uri

BibTeX Citekey*:

w-jccetansal-03

Language:

English

Title, Institution

Title*:

Jacobi Curves: Computing the Exact Topology of Arrangements of Non-Singular Algebraic Curves

Institution*:

Springer-Verlag

Publishers or Institutions Address*:

Berlin, Heidelberg, New York

Type:

Proceedings Article

No, Year, pp.,

Number*:

LNCS 2832

Pages*:

12

Month:


VG Wort
Pages*:


Year*:

2003

ISBN/ISSN:

ISBN 0302-9743





DOI:




Note, Abstract, ©

Note:


(LaTeX) Abstract:

We present an approach that extends the Bentley-Ottmann
sweep-line algorithm to the exact computation of
the topology of arrangements induced by non-singular
algebraic curves of arbitrary degrees. Algebraic curves
of degree greater than 1 are difficult to handle in
case one is interested in exact and efficient solutions.
In general, the coordinates of intersection points of two
curves are not rational but algebraic numbers and this
fact has a great negative impact on the efficiency of
algorithms coping with them. The most serious problem
when computing arrangements of non-singular algebraic
curves turns out be the detection and location of
tangential intersection points of two curves. The
main contribution of this paper is a solution to
this problem, using only rational arithmetic. We do this
by extending the concept of Jacobi curves. Our algorithm
is output-sensitive in the sense that the algebraic
effort we need for sweeping a tangential intersection
point depends on its multiplicity.

Categories / Keywords:


Copyright Message:


HyperLinks / References / URLs:


Personal Comments:


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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:
@TECHREPORT{w-jccetansal-03,
AUTHOR = {Wolpert, Nicola},
TITLE = {Jacobi Curves: Computing the Exact Topology of Arrangements of Non-Singular Algebraic Curves},
YEAR = {2003},
TYPE = {Proceedings Article},
INSTITUTION = {Springer-Verlag},
NUMBER = {LNCS 2832},
PAGES = {12},
ADDRESS = {Berlin, Heidelberg, New York},
ISBN = {ISBN 0302-9743},
}


Entry last modified by Nicola Wolpert, 07/15/2014
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Editor(s)
[Library]
Created
04/14/2003 08:06:30 PM
Revisions
3.
2.
1.
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Editor(s)
Nicola Wolpert
Nicola Wolpert
Nicola Wolpert
Nicola Wolpert
Edit Dates
06/01/2004 02:45:28 PM
04/14/2003 08:08:53 PM
04/14/2003 08:08:07 PM
04/14/2003 08:06:30 PM
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