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1. 发明授权

US06823234B2 Curve interpolation method 有权
标题翻译：曲线插值法
公开(公告)号：US06823234B2
公开(公告)日：2004-11-23
申请号：US10624600
申请日：2003-07-23
申请人： Toshiaki Otsuki , Hideo Ogino , Soichiro Ide , Takuji Chiba
发明人： Toshiaki Otsuki , Hideo Ogino , Soichiro Ide , Takuji Chiba
IPC分类号： G06F1900
CPC分类号： G05B19/4103 , G05B2219/33077 , G05B2219/34124 , G05B2219/34127 , G05B2219/34135 , G05B2219/34145 , G05B2219/34171 , G05B2219/42207
摘要： A curve interpolation method capable of obtaining a curve approximating an original curve based on a sequence of command points within a tolerance set for the original curve, and performing interpolation on the obtained curve. Points Q1, . . . , Q2n are interpolated between respective two adjacent command points (P0, P1), (P1, P2), . . . , (Pn−1, Pn) as shape-defining points. The shape-defining points are positioned within a tolerance width 2w set to the original curve. One shape-defining point and shape-defining points surrounding the one shape-defining point are successively selected and an approximate curve for the selected shape-defining points is successively created. The one shape-defining point is moved towards the approximate curve to determine a modified shape-defining point for the one shape-defining point. A smooth curve passing a sequence of the modified shape-defining points is created and interpolation for machining is performed on the created curve. Since the shape-defining points are positioned closer to an original target curve within a tolerance width set to the original curve than the command points, the created smooth curve passing the sequence of modified shape-defining points is well approximating the original target curve within the tolerance width.
摘要翻译：一种曲线插值方法，其能够基于在原始曲线的公差集内的指令点的序列获得接近原始曲线的曲线，并对所获得的曲线进行插值。积分Q1，。。。在相应的两个相邻的指令点（P0，P1），（P1，P2）之间插入Q2n。。。，（Pn-1，Pn）作为形状定义点。形状定义点位于设置为原始曲线的公差宽度2w内。连续地选择围绕一个形状定义点的一个形状定义点和形状限定点，并且连续地创建所选择的形状定义点的近似曲线。将一个形状定义点移动到近似曲线以确定用于一个形状定义点的修改的形状定义点。创建通过修改的形状定义点的顺序的平滑曲线，并且对所创建的曲线执行用于加工的插值。由于形状定义点位于比命令点设置在原始曲线的公差宽度内更接近原始目标曲线，所以通过经修改的形状定义点的序列的所创建的平滑曲线很好地近似于在公差宽度

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