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Author, Editor

Author(s):

Hemmer, Michael
Dupont, Laurent
Petitjean, Sylvain
Schömer, Elmar

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Not MPG Author(s):

Dupont, Laurent
Petitjean, Sylvain
Schömer, Elmar

Editor(s):

BibTeX Citekey*:	ACS-TR-241402-01
Language:	English

Title, Institution

Title*:	Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangment of Quadrics
Institution*:	University of Groningen
Publishers or Institutions Address*:	9700 AB Groningen THE NETHERLANDS
Type:	Technical Report

No, Year, pp.,

Number*:	ACS-TR-241402-01	Pages*:	13
Month:	April	VG Wort Pages*:	13
Year*:	2008	ISBN/ISSN:

DOI:

Note, Abstract, ©

Note:
(LaTeX) Abstract:	We present a complete, exact and efficient implementation to compute the adjacency graph of an arrangement of quadrics, surfaces of algebraic degree~2. This is a major step towards the computation of the full arrangement. We enhanced an implementation for an exact parameterization of the intersection curves of two quadrics, such that we can compute the exact parameter value for intersection points and from that the adjacency graph of the arrangement. Our implementation is complete in the sense that it can handle all kind of inputs including all degenerate ones where intersection curves have singularities or pairs of curves intersect with high multiplicity. It is exact in that it always computes the mathematical correct result. It is efficient measured in running times, we compare it with a previous implementation based on planar arrangements of the projected intersection curves.
Categories / Keywords:	Exact Geometric Computing, Arrangements, Quadrics
Copyright Message:
HyperLinks / References / URLs:	http://acs.cs.rug.nl/acstr/ACS-TR-241402-01.pdf
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Download 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{ACS-TR-241402-01,
AUTHOR = {Hemmer, Michael and Dupont, Laurent and Petitjean, Sylvain and Sch{\"o}mer, Elmar},
TITLE = {Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangment of Quadrics},
YEAR = {2008},
TYPE = {Technical Report},
INSTITUTION = {University of Groningen},
NUMBER = {ACS-TR-241402-01},
PAGES = {13},
ADDRESS = {9700 AB Groningen THE NETHERLANDS},
MONTH = {April},
}

Entry last modified by Michael Hemmer, 03/03/2009

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	Editor(s) Michael Hemmer	Created 01/26/2009 13:56:14
Revision 0.	Editor Michael Hemmer	Edit Date 01/26/2009 01:56:14 PM

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