二次均匀TC-B样条曲线的扩展  

Extension of uniform quadratic TC-B-spline curves

作　　者：马素静[1] 刘旭敏[1] 

机构地区：[1]首都师范大学信息工程学院,北京100037

出　　处：《计算机工程与设计》2008年第22期5863-5865,共3页Computer Engineering and Design

基　　金：北京市教委重点基金项目(KZ200710028014);北京市自然基金项目(4062009;4082009)

摘　　要：构造了一种新的三角多项式基函数——带参数的均匀二次TC-B样条基,并由此定义了曲线——带参数的均匀二次TC-B样条曲线。该曲线继承了均匀TC-B样条曲线的优点,有着与其相类似的性质,例如凸包性、几何不变性、变差缩减性等。同时它还能精确表示圆弧、椭圆弧等二次曲线,推广到空间即可以表示旋转曲面。此外,由于引入了形状控制参数,使其在工业设计中具有更大的灵活性和更广的应用范围。Analogous to the uniform TC-B-spline curves, trigonometric polynomial of the quadratic uniform TC-B basic function and curve with shape parameter are constructed. The curves have the advantages of the uniform TC-B-spline curves. Also the curves can express the circle arc and ellipse arc and can construct rotate surfaces. In addition, because of the shape parameter, the curves have more and more convenience and bigger and bigger using space.

关 键 词：形状控制参数 TC-B基 圆弧 椭圆弧 旋转曲面 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]