A quadratic trigonometric B-Spline as an alternate to cubic B-spline

Abstract

The idea of the quadratic trigonometric spline (QTS) for the curve modeling approach inspired this paper using a quadratic trigonometric function presented in it. By creating B-spline-like local support basis functions, a competent freeform curve design approach is created. Local support, unity partition, and positivity are satisfied by the built-in basis functions. These generated local support basis functions give the freeform designed curve technique geometric features like convex hull and variation diminishing. The shape features of point tension, interval tension, and global tension are also observed by employing data point repetitions in a freeform curve scheme. A converted Bernstein Bézier form is used to display the non-uniform freeform curve for consideration in the proposed approach. The recommended method is C2 as a benefit. The proposed method is an addition to the existing family of spline procedures, and it gives a superior quadratic equivalent to the cubic method.