Template Matching of Freeform Surfaces Based on Orthogonal Distance Fitting for Precision Metrology
نویسندگان
چکیده
Freeform surfaces are widely used in advanced optical and mechanical devices. In order to assess the form quality of a freeform surface, it is required to match the measurement surface with the design template. To improve the matching efficiency and accuracy, the whole procedure is divided into two stages, rough matching and final fitting. A new rough matching method, called the structured region signature is proposed. The structured region signature is a generalized global feature which represents the surface shape by a one dimensional function. The template location occupying the best matching signature is considered to be the correct rough position of the measurement surface. After that the motion parameters are updated iteratively based on the orthogonal distance fitting. The dependency between the foot-point parameters of the projection points and the motion parameters is derived from the closestdistance relationship between correspondance point pairs. Numerical experiments are given to demonstrate the validity of this approach. PACS numbers: 06.20.Dk, 06.60.Sx, 07.05.Tp
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