Title :
Geodesic Bezier Curves: a Tool for Modeling on Triangulations
Author :
Morera, Dimas Martínez ; Carvalho, Paulo Cezar ; Velho, Luiz
Author_Institution :
Inst. Nacional de Matematica Pura e Aplicada - IMPA, Rio de Janeiro
Abstract :
We define a new class of curves, called geodesic Bezier curves, that are suitable for modeling on manifold triangulations. As a natural generalization of Bezier curves, the new curves are as smooth as possible. We discuss the construction of C0 and C1 piecewise Bezier 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.
Keywords :
computational geometry; differential geometry; splines (mathematics); geodesic Bezier curves; manifold triangulations; piecewise Bezier splines; Algorithm design and analysis; Computer graphics; Geometry; Geophysics computing; Image processing; Solid modeling; Spline; Casteljau Algorithm; Discrete Geodesic; Free-Form Design.; Geodesic Bezier Curve; Spline Curves; de;
Conference_Titel :
Computer Graphics and Image Processing, 2007. SIBGRAPI 2007. XX Brazilian Symposium on
Conference_Location :
Minas Gerais
Print_ISBN :
978-0-7695-2996-7
DOI :
10.1109/SIBGRAPI.2007.38
