Reference TypeConference Proceedings
Citation KeyMartínezMoreraCarvVelh:2007:ToMoTr
Author1 Martínez Morera, Dimas
2 Carvalho, Paulo Cezar
3 Velho, Luiz
Affiliation1 IMPA
TitleGeodesic Bézier Curves: a Tool for Modeling on triangulations
Conference NameBrazilian Symposium on Computer Graphics and Image Processing, 20 (SIBGRAPI)
EditorFalcăo, Alexandre Xavier
Lopes, Hélio Côrtes Vieira
Book TitleProceedings
DateOct. 7-10, 2007
Publisher CityLos Alamitos
PublisherIEEE Computer Society
Conference LocationBelo Horizonte
Keywordsgeodesic Bézier curve, discrete geodesic, de Casteljau algorithm, spline curves, free-form gesign.
AbstractWe define a new class of curves, called geodesic Bézier curves, that are suitable for modeling on manifold triangulations. As a natural generalization of Bézier curves, the new curves are as smooth as possible. We discuss the construction of C0 and C1 piecewise Bézier splines. We also describe how to perform editing operations, such as trimming, using these curves. Special care is taken to achieve interactive rates for modeling tasks.
Tertiary TypeFull Paper
FormatPrinted, On-line.
Size1387 KiB
Number of Files1
Target Filemorera-GeodesicBezierCurves.pdf
Last Update2007: administrator
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