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最佳一致逼近及容差平滑圆弧拟合平面点列
引用本文:肖涤尘,梁锡昌.最佳一致逼近及容差平滑圆弧拟合平面点列[J].重庆大学学报(自然科学版),1989(3).
作者姓名:肖涤尘  梁锡昌
作者单位:重庆大学机械工程一系 (肖涤尘),重庆大学机械工程一系(梁锡昌)
摘    要:本文应用最佳一致逼近及容差平滑的分段圆弧拟合列表点列平面曲线。本方法具有拟合误差最小;误差不大于给定值时,拟合圆弧段数最少;圆弧段交接处平滑性可控;一定的平滑数据作用,便于直接用于数控加工、绘图等优点和工程实用意义。

关 键 词:最佳逼近  一致逼近  容许误差  平滑  圆弧  拟合  离散  

USING CIRCLE ARCS OF BEST UNIFORM APPROXIMATION & TOLERANCE SMOOTH TO FIT LISTED POINTS OF PLANE CURV
Xiao Dichen Liang Zichang.USING CIRCLE ARCS OF BEST UNIFORM APPROXIMATION & TOLERANCE SMOOTH TO FIT LISTED POINTS OF PLANE CURV[J].Journal of Chongqing University(Natural Science Edition),1989(3).
Authors:Xiao Dichen Liang Zichang
Institution:Xiao Dichen Liang Zichang
Abstract:This paper presents a new method in which segmantal arcs of best uniform approximation and tolerance smooth are used to fit a plane curve consisting of listed points. The method possesses the advantages of the smallest fitting error, the least segments when the tolerance value is given, the control-dble smooth between the segments, the function of smooth data, and it can be . directly used to numerical control machining and graphing. It is applicable in Engineering.
Keywords:best approximation  uniform approximation  allowable error  smoothing  circle arc  fitting  discrete  point
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