摘要
本文提出了一种新的B-Spline曲面反求算法,即“柔性亚纯插值”算法,它运用线性组合原则直接修改或补充构成曲面的控制网格点边界,以误差作为代价达到非零边界曲率之光顺曲面.本文发展了B.Barsky的“纯插值”概念,得到更为理想的曲面.最后给出了该算法的计算机实现及应用实例.
This paper deals with the B-Spline surface formulation for describing a complex spatial surface initially defined by a completely specified mesh points to be interpolated. To obtain these B-Spline control vertices, a new algorithm, the flexible subinterpolation is proposed. Better results are given using the principle of linear combination to directly modify or add the control vertices determind by B. Barsky's algorithm within the error limit. B. Barsky's conception of pure interpolation is extended. The new method has been used in a practical CAD/CAM system. Some examples are presented.
出处
《华中理工大学学报》
CSCD
北大核心
1992年第3期19-24,共6页
Journal of Huazhong University of Science and Technology
基金
机电部工业发展基金资助项目
关键词
机械加工
数控
叶片
B-SPLINE曲面
blades
B-spline curved surface
flexible subinterpolation
control mesh points
