Title: Finding direction of intersection curve in critical cases of surface-surface intersection
Authors: Oh, Min-jae
Hur, Seok
Kim, Tae-wan
Citation: WSCG ’2007: Posters proceedings: The 15th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2007 in co-operation with EUROGRAPHICS: University of West Bohemia, Plzen, Czech Republic: January 29 - February 1, 2007, p. 53-56.
Issue Date: 2007
Publisher: Václav Skala – UNION Agency
Document type: konferenční příspěvek
URI: http://wscg.zcu.cz/wscg2007/Papers_2007/Poster/!WSCG2007_Poster_Proceedings_Final.zip
ISBN: 978-80-86943-99-2
Keywords: průnik povrchů;topologie;tangenciální průnik;pertuberační metoda
Keywords in different language: surfaces intersection;topology;tangential intersection;perturbation method
Abstract: Determining the topology of intersection curves is one of the important issues of surface-surface intersection problem used in Computer Aided Geometric Design and Computer Graphics. To compute the intersection curves, we first need to determine the topology of the curves. Thomas A. Grandine[Gr97] presented an algorithm to determine topology using partial derivatives of surface intersection equations. When the two surfaces meet tangentially, the differential values of the parameters of the surfaces are not determined in the intersection equations. These cases are called critical cases. In [Ye99] a method of finding the values of the differentials is presented for the case of the contact of order 1. We present general methods for the case of the contact of higher order ≥ 1 using perturbation method. With these results, we can decide starting or ending of the critical boundary point.
Rights: © Václav Skala – UNION Agency
Appears in Collections:WSCG ’2007: Posters proceedings

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