Open AccessRational 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 , monotone cubic interpolation , geometric design , smoothness , spline (mechanical) , computer graphics , image stitching , parametric statistics , mathematical analysis , geometry , computer science , bicubic interpolation , computer graphics (images) , computer vision , 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