Supported by the National Program on Key Basic Research Projects (Grant No.2004CB719400);National Natural Science Foundation of China (Grant Nos.60673031,60333010)
It is necessary to compute the derivative and estimate the bound of rational B-spline curves in design system, which has not been studied to date. To improve the function of computer aided design (CAD) system, and t...
The basis function of n order trigonometric polynomial B-spline with shape parameter is constructed by an integral approach. The shape of the constructed curve can be adjusted by changing the shape parameter and it ha...
Supported by the National Natural Science Foundation of China (Grant No. 60173034);the Major State Basic Research Development Program of China (Gtant No. G1998030600)
An efficient algorithm for curve interpolation is proposed. The algorithm can produce a subdivision surface that can interpolate the predefined cubic B-spline curves by applying the Catmull-Clark scheme to a polygonal...
Project supported by the National Natural Science Foundation of China
The system of hydrogen atom in uniform magnetic fields has drawn considerable attention for the reasons that (ⅰ) this system belongs to the simplest nonseparable sys-tems that are physically realizable; (ⅱ) it is on...