Template Matching of Freeform Surfaces Based on Orthogonal Distance Fitting for Precision Metrology

Xiangqian Jiang, Paul J. Scott, Xiangchao Zhang

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

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 dependence between the foot-point parameters of the projection points and the motion parameters is derived from the closest-distance relationship between correspondence point pairs. Numerical experiments are given to demonstrate the validity of this approach.

Original languageEnglish
Article number045101
JournalMeasurement Science and Technology
Volume21
Issue number4
DOIs
Publication statusPublished - 23 Feb 2010

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Free-form Surface
Template matching
Template Matching
Metrology
metrology
Rough
Signature
templates
Surface measurement
Template
signatures
Motion
mechanical devices
Correspondence
Numerical Experiment
Projection
Demonstrate
projection
Experiments

Cite this

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abstract = "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 dependence between the foot-point parameters of the projection points and the motion parameters is derived from the closest-distance relationship between correspondence point pairs. Numerical experiments are given to demonstrate the validity of this approach.",
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Template Matching of Freeform Surfaces Based on Orthogonal Distance Fitting for Precision Metrology. / Jiang, Xiangqian; Scott, Paul J.; Zhang, Xiangchao.

In: Measurement Science and Technology, Vol. 21, No. 4, 045101, 23.02.2010.

Research output: Contribution to journalArticle

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