Position: Home > Articles > Boundary Control of Cubic Uniform B Spline Curve and Bi-cubic Uniform B Spline Surface
Journal of Beijing Agricultuer Engineering University
1993
(4)
1-6
三次均匀B样条曲线和双三次均匀B样条曲面的边界控制
作 者：
吴宏斌;石续年
单 位：
北京农业工程车辆工程系
关键词：
B 样条曲线;B 样条曲面;曲线拟合;曲面拟合;边界控制
摘 要：
阐述了用三次均匀 B 样条曲线和双三次均匀 B 样条曲面进行计算机辅助几何设计的原理和方法。为解决三次均匀 B 样条曲线通过已知点列的首、末两点以及双三次均匀 B 样条曲面通过已知网格的最外层顶点问题,提出了三次均匀 B 样条曲线和双三次均匀 B 样条曲面边界控制的6种方法,并建立了相应的数学模型。
译 名：
Boundary Control of Cubic Uniform B Spline Curve and Bi-cubic Uniform B Spline Surface
作 者：
Wu Hongbin Shi Xunian (Department of Vehicle Engineering)
关键词：
B spline curve;;B spline surface;;curve fitting;;surface fitting;;boundary control
摘 要：
The principle and method of computer-aided geometric design using the cubic B spline curve and bi-cubic B spline surface are expounded.In order to solve the problems that cubic uniform B spline curve passes through the first and end points of known arrange,and bi-cubic uniform B spline surface passes through the outmost points of known grid,six kind methods of cubic uniform B spline curve and bi-cubic uniform B spline surface boundary control are presented.The mathematic models of curve(surface)are established.
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