均匀混合三角多项式B-样条曲线

Uniform Mixed Trigonometric Polynomial B-splines

提出一种建立在空间Ω={sint,cost,tsint,tcost,1,t,…tk-5}上的新的均匀样条曲线———均匀混合三角多项式B-样条.给出了这种新曲线的细分公式.

This paper presents a new kind of uniform spline curve named uniform mixed trigonometric polynomial B-splines, over space Ω= {sint,cost,tsint,tcost,l,t, … ,t^k-5} of which k is an arbitrary integer larger than or equal to 5. Based on the explicit representation of the curve the subdivision formulae for this new kind of curve is also presented.