Rational Cubics and Conics Representation: A Practical Approach | Zendy

Muhammad Sarfraz | Zendy; Zulfiqar Habib | Zendy

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Rational Cubics and Conics Representation: A Practical Approach

Author(s) -

Muhammad Sarfraz,

Zulfiqar Habib

Publication year - 1970

Publication title -

iium engineering journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.141

H-Index - 6

eISSN - 2289-7860

pISSN - 1511-788X

DOI - 10.31436/iiumej.v1i2.332

Subject(s) - conic section , cubic hermite spline , smoothing spline , mathematics , parametric equation , spline interpolation , cubic function , geometric design , monotone cubic interpolation , smoothness , spline (mechanical) , computer graphics , parametric statistics , rational function , pure mathematics , mathematical analysis , geometry , computer science , bicubic interpolation , computer graphics (images) , bilinear interpolation , statistics , structural engineering , engineering

A rational cubic spline, with one family of shape parameters, has been discussed with the view to 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 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.Key Words: Computer Graphics, Interpolation, Spline, Conic, Rational Cubic

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