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Conic representation of a rational cubic spline

Sarfraz, M. and Habib, Z. (1999) Conic representation of a rational cubic spline. Information Visualization, 1999. Proceedings. 1999 IEEE International conference, 1.

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Abstract

A rational cubic spline with a family of shape parameters is discussed from the viewpoint of its application in computer graphics. It incorporates both conic sections and parametric cubic curves as special cases. The parameters (weights), in the description of the spline curve can be used to modify the shape of the curve, locally and globally, at the knot intervals. The rational cubic spline attains parametric C2 smoothness, whereas the stitching of the conic segments preserves visually reasonable smoothness at the neighboring knots. The curve scheme is interpolatory and can plot parabolic, hyperbolic, elliptic, and circular splines independently, as well as bits and pieces of a rational cubic spline



Item Type:Article
Date:1999
Date Type:Publication
Subjects:Computer
Divisions:College Of Computer Sciences and Engineering > Information and Computer Science Dept
Creators:Sarfraz, M. and Habib, Z.
ID Code:14386
Deposited By:KFUPM ePrints Admin
Deposited On:24 Jun 2008 16:34
Last Modified:12 Apr 2011 13:14

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