Abstract
Three kinds of trigonometric bases are given in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. Analogous to the quadratic B-spline curves, the curves are constructed with three consecutive control points for each curve segment. The curves posses many properties of the quadratic B-spline curve. Meanwhile, they have many better properties than the quadratic B-spline curve. For equidistant knots, they have continuity, and they have continuity when choosing special parameters. Besides, the curves are closer to the control polygon than the quadratic B-spline curves when the shape parameters satisfy certain conditions. In the last, the trigonometric spline surfaces with shape parameter are constructed. They have most properties of the corresponding curves.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
