CAJ | 학술논문

给出了一阶三角B样条基函数的构造，讨论这种基函数的性质以及在具有重节点情形时的变化，并利用这类三角B样条基构造了相应的三角B样条函数及三角B样条曲线。还给出了用带调节参数的控制点方法生成一阶三角B样条曲线以便对曲线形状进行调整的方法。讨论了如何利用这类B样条基以及带参数的控制点方法生成可调形状的三角样条曲线的问题。
급출료일계삼각B양조기함수적구조，토론저충기함수적성질이급재구유중절점정형시적변화，병이용저류삼각B양조기구조료상응적삼각B양조함수급삼각B양조곡선。환급출료용대조절삼수적공제점방법생성일계삼각B양조곡선이편대곡선형상진행조정적방법。토론료여하이용저류B양조기이급대삼수적공제점방법생성가조형상적삼각양조곡선적문제。
T he construction of the one order trigonometric B-spline basic functions is presented in this paper .The properties of the basic functions and the case of multiple knots of the basic functions are discussed .T his kind basic function can be used to construct trigonometric spline functions and trigo-nometric spline curves .By the method of control points trasformation ,a kind of spline curve with shape parameters is presented and discussed .