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基于最小二乘法的曲面生成算法研究
引用本文:彭芳瑜 周济. 基于最小二乘法的曲面生成算法研究[J]. 工程图学学报, 1999, 0(3): 41-46
作者姓名:彭芳瑜 周济
作者单位:华中理工大学机械科学与工程学院
摘    要:针对不均匀截面线族曲面生成问题,本文提出了一种基于最小二乘法的曲面生成算法。这种算法在插值的思想上融合了逼近的思想,因此解决了困截面线旅不均匀而使曲面参数线族不合理并导致曲面光顺性不好的问题。该算法已在自行设计的面向数控的曲面造型系统中实现.

关 键 词:CAD/CAM  曲面插值  曲面逼近

RESEANCH ON LEAST SQUARES BASED ALGORITHM FOR FREE FORM SURFACES DESIGN
Peng Fangyu Zhou Ji Zhou Yanhong Zhou Yunfei. RESEANCH ON LEAST SQUARES BASED ALGORITHM FOR FREE FORM SURFACES DESIGN[J]. Journal of Engineering Graphics, 1999, 0(3): 41-46
Authors:Peng Fangyu Zhou Ji Zhou Yanhong Zhou Yunfei
Affiliation:Huazhon University of Science and Technology
Abstract:An algorithm for free form surfaces design, which is based on least sqares and fit for uneven cross-sectional curves, is presented in this papeL The approwiate idea is combined with the interpolate idae in this algorithm, so the problem which the parameter curves is unreasonable and the smoothness is dissatisfied can be solved. This algorithm has been successfully used in a NCoriented free surface design system.
Keywords:CAD/ACM   surface interoplate   surface approximate
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