Quadratic Trigonometric Polynomial Curves with Two Shape Parameters
It Is well known that the cubic polynomial curves are suggested for the spaces 1,t,t2,t3. However,curves also could be constructed for the spaces with trigonometric functions. A class of quasi-cubic trigonometric curves with two shape parameters is presented in this paper. The curves are constructed for the spaces 1,sinu,cosu,sin2u,named QCT-curves. Then,the properties,application and relationship between QCT-curves are also discussed. QCT-curves have plenty of properties similar to the corresponding cubic polynomial curves,and they could be converted into each other in proper condition. Furthermore the shape of QCT-curves can be adjusted by two shape parameters and they can accurately represent the arcs of circle,ellipse,parabola and other quadratic curves without using rational form.
trigonometric curves, shape parameter, cubic polynomial curves3 quadratic curves4 curves designs
Li Juncheng
Department of Mathematics,Hunan Institute of Humanities,Science and Technology,Loudi Hunan 417000,China
国际会议
南宁
英文
43-46
2010-12-10（万方平台首次上网日期，不代表论文的发表时间）