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  An Exact, Complete and Efficient Implementation for Computing Planar Maps of Quadric Intersection Curves

Berberich, E., Hemmer, M., Kettner, L., Schömer, E., & Wolpert, N. (2005). An Exact, Complete and Efficient Implementation for Computing Planar Maps of Quadric Intersection Curves. In 21st Annual Symposium on Computational Geometry (SCG'05) (pp. 99-106). New York, USA: ACM.

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 Urheber:
Berberich, Eric1, Autor           
Hemmer, Michael1, Autor           
Kettner, Lutz1, Autor           
Schömer, Elmar1, Autor           
Wolpert, Nicola1, Autor           
Mitchell, Joe, Herausgeber
Rote, Günter, Herausgeber
Kettner, Lutz1, Herausgeber           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

Inhalt

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Schlagwörter: -
 Zusammenfassung: We present the first exact, complete and efficient implementation that computes for a given set $P=\{p_1,\dots,p_n\}$ of quadric surfaces the planar map induced by all intersection curves $p_1\cap p_i$, $2\leq i\leq n$, running on the surface of $p_1$. The vertices in this graph are the singular and $x$-extreme points of the curves as well as all intersection points of pairs of curves. Two vertices are connected by an edge if the underlying points are connected by a branch of one of the curves. Our work is based on and extends ideas developed in~[20] and~[9]. Our implementation is {\em 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 {\em exact} in that it always computes the mathematical correct result. It is {\em efficient} measured in running times.

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Sprache(n): eng - English
 Datum: 2006-05-112005
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: New York, USA : ACM
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 279188
Anderer: Local-ID: C1256428004B93B8-F477E647B2943C59C12570B30054504C-bhksw-eceicpmqic-05
 Art des Abschluß: -

Veranstaltung

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Titel: Untitled Event
Veranstaltungsort: Pisa, Italy
Start-/Enddatum: 2005-06-06

Entscheidung

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Projektinformation

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Titel: 21st Annual Symposium on Computational Geometry (SCG'05)
Genre der Quelle: Konferenzband
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: New York, USA : ACM
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 99 - 106 Identifikator: ISBN: 1-58113-991-8