文章基本信息

标题：An Algorithm of a Freeform Surfaces Measurement Adjustment Using a Specification of the Workpiece Coordinate System Location
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作者：Jan Buša ; Jan Buša ; Jan Buša Jr, 等
期刊名称：Advances in Science and Technology Research Journal
印刷版ISSN：2080-4075
电子版ISSN：2299-8624
出版年度：2017
卷号：11
期号：3
页码：223-232
DOI：10.12913/22998624/76094
语种：English
出版社：Society of Polish Mechanical Engineers and Technicians
摘要：A difficulty of freeform surfaces evaluations lies in a setup of a coordinate measuring system in general, when it is not possible to use the standard system of alignment by a point, a line, and a surface. An algorithm for the measurement adjustment using a small workpiece coordinate system movement and rotation to achieve a smaller least square error of the produced surface for a given freeform surface defined by the function of two variables is considered. The algorithm is using the Newton method for calculation of the orthogonal distance of a measured point to the given surface and also for minimization of sum of the distance squares. Numerical results for an example are given.
关键词：freeform surface;cloud of points;Nelder-Mead method;Newton method