Curve construction based on five trigonometric blending functions
Five new trigonometric blending functions with two exponential shape parameters are given in this paper. Based on these blending functions, trigonometric Bzier curves analogous to the quartic Bzier curves, with two exponential shape parameters, are presented. The ellipses and parabolas can be represented exactly by using the trigonometric Bzier curves. Based on the blending functions, trigonometric B-spline curves with three local shape parameters and a global shape parameter are also constructed. The obtained spline curves can be C 2?FC 2k+3 (k??+) continuous by fixing some values of the shape parameters. Without solving a linear system, the spline curves can be also used to interpolate sets of points with C 2 continuity partly or entirely.
trigonometric blending functions shape parameters trigonometric bzier curves trigonometric b-spline curves interpolation 65d07 65d18