Shape-Preserving Positive Trigonometric Spline Curves

This paper deliberates on the development of new smooth shape-preserving schemes. These schemes are also demonstrated with data in the form of shape-preserving trigonometric spline curves. For this persistence, a GC(1) cubic trigonometric spline function is developed, which also nourishes all the fundamental geometric properties of Bezier function as well. The developed trigonometric spline function comprises two parameters alpha(i )and beta(i), which ensures flexible tangents at the end points of each subinterval. Furthermore, constraints are derived on beta(i), to generate the shape-preserving trigonometric spline curves, whereas alpha(i) is any positive real number used for the modification of shape-preserving trigonometric spline curves. The error approximation of the developed function is O(h(i)(3)).