Abstract
With a non-uniform knot vector and two local shape parameters, a kind of piecewise quadratic trigonometric polynomial curves is presented in this paper. The given curves have similar construction and the same continuity as the quadratic non-uniform B-spline curves. Two local parameters serve to local control tension and local control bias respectively in the curves. The changes of a local shape parameter will only affect two curve segments. The given curves can approximate the quadratic non-uniform rational B-spline curves and the quadratic rational Bézier curves well for which the relations of the local shape parameters and the weight numbers of the rational curves are described. The trigonometric polynomial curves can yield tight envelopes for the quadratic rational Bézier curves. The given curve also can be decreased to linear trigonometric polynomial curve which is equal to a quadratic rational Bézier curve and represents ellipse curve.
Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
