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一种新的插值型B样条复杂曲面构造法
引用本文:王铿,钟华珍.一种新的插值型B样条复杂曲面构造法[J].华中科技大学学报(自然科学版),1992(3).
作者姓名:王铿  钟华珍
作者单位:杭州汽车发动机厂 (王铿),华中理工大学机械工程一系(钟华珍)
基金项目:机电部工业发展基金资助项目
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.

关 键 词:机械加工  数控  叶片  B-Spline曲面  柔性亚纯插值  控制网格点

A New Interpolating Construction Method for B-Spline Complex Curved Surface
Wang Keng Zhong Huazhen.A New Interpolating Construction Method for B-Spline Complex Curved Surface[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1992(3).
Authors:Wang Keng Zhong Huazhen
Institution:Wang Keng Zhong Huazhen
Abstract: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.
Keywords:blades  B-spline curved surface  flexible subinterpolation  control mesh points  
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