GC1 Cubic Trigonometric Spline Function with its Geometric Attributes

Abstract

This paper enlightens the ultimate requirement of piecewise cubic functions in graphic designing with having good control on the interpolatory curves and also having flexible tangents. To meet these requirements of graphic designing, a piecewise cubic trigonometric spline function is developed with three shape parameters. These shape parameters provide the flexibility in tangent on each sub interval of the data. The geometric characteristics of developed function are also deliberated here. The error of developed function is also calculated which is of order three.