A Type of Triangular Ball Surface and its Properties

A new type of bivariate generalized Ball basis function on a triangle is presented for free-form surface design.Some properties of the basis function are given,then degree elevation,recursive evaluation and some other properties of the generalized Ball surfaces are also derived.It is shown that the proposed recursive evaluation algorithm is more efficient than those of the old surfaces.

A type of triangular ball surface and its properties

A new type of bivariate generalized Ball basis function on a triangle is presented for free-form surface design. Some properties of the basis function are given, then degree elevation, recursive evaluation and some other properties of the generalized Ball surfaces are also derived. It is shown that the proposed recursive evaluation algorithm is more efficient than those of the old surfaces. This work was supported by the National Natural Science Foundation of China and China Postdoctoral Science Foundation. The second author was also supported by Cao Guangbiao Science Foundation. Hu Shimin received his BS degree in numerical analysis from Jilin University, and MS and Ph.D. degrees in CAGD & computer graphics from Zhejiang University. He is currently a Postdoctor at Tsinghua University. His research interests are CAGD, computer graphics and fractal geometry. Wang Guojin received his BS and MS degrees from Zhejiang University. He is currently a Professor of mathematics at Zhejiang University. His present research interests are computer aided geometric design, computer graphics and approximation theorey. Sun Jiaguang is a Professor of computer science and technology in Tsinghua University, he is also the Director of National Engineering and Research Center for CAD Supporting Software. His research interests include computer graphics, CAD/CAM and engineering database management.