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Uncertainties of surfaces digitalized by Coordinate Measuring Machines

机译:用坐标测量机数字化的表面的不确定度

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摘要

In the seventies, a lot of work was done concerning surface association to points digitized with a Coordinate Measuring Machine (CMM). The function of minimization is based on the distance between the points Mi and the geometric element. It depends on the criterion of minimization. This function is nonlinear. A number of researchers have developed methods to speed up the calculations of diverse tasks and to simplify the displacement matrix. These methods imply conditions such as small displacements. An other condition is that every point has the same precision of measurement. In this paper a non-linear method is presented to calculate, the first (mean) and second (uncertainty) statistical moments of best fit surface parameters.
机译:在上世纪70年代,完成了许多与使用坐标测量机(CMM)数字化的点的曲面关联相关的工作。最小化的功能基于点Mi与几何元素之间的距离。它取决于最小化的标准。此函数是非线性的。许多研究人员已经开发出各种方法来加快各种任务的计算速度并简化位移矩阵。这些方法暗示了诸如小位移之类的条件。另一个条件是每个点都具有相同的测量精度。本文提出了一种非线性方法来计算最佳拟合表面参数的第一(平均)和第二(不确定性)统计矩。

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