Shape Modeling with a Cubic Trigonometric Beta B-Spline with Local Support Basis Functions

Abstract

The modeling capabilities of trigonometric B-spline curves with form parameters are comparable to those of classical B-spline curves in terms of their significance and use. Through the application of basic functions and shape parameters, this method presents the cubic trigonometric B-spline curves. Constructed by these functions, the concept of designing curves and surfaces possesses all the ideal geometric qualities, such as the partition of unity, convex hull, affine invariance, and variation decreasing. The parameters that are used in the creation of the recommended approach are helpful for several important form characteristics. These vital form aspects include local, global, and biased tension qualities, which provide good control over the curve and allow for shape change as required. In addition, the [Formula: see text] strategy is the one that is suggested for use.