Evaluation of the Form Error of Ellipse Based on Least Square Method
Evaluation of the Form Error of Ellipse Based on Least Square Method
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发表时间：
2002
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通讯作者：
Liu Shu
中科院分区：
文献类型：
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作者：
Liu Shu
An algorithm of evaluating the form error of elliptic profile in a plane is described. It is based on the principle of least square method. The mathematical expression of ellipse at arbitrary position is very complicated with 5 variables and 4th order non linear equation, but this difficulty has been solved. It is simplified by using “variable substitution” technique. The fitting algorithm requires only one time of calculation instead of iterations as same as circle and sphere fitting algorithm. The mathematical equations resulted from the algorithm and calculating method are given in detail.
