A New Free-Form Surface Fitting Method for Precision Coordinate Metrology

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Free-form surfaces are widely used in advanced optical and mechanical devices. In order to assess the form accuracy of free-form surfaces, it is needed to fit the measurement surface with the design template. To improve the fitting efficiency and accuracy, the fitting procedure is divided into two stages, rough fitting and final fitting. A new rough fitting method, called structured region signature is proposed. Structured region signature is a generalised global feature which represents the surface shape by a one-dimensional function. The template location occupying the best fitting signature is considered to be the correct initial position of the measurement surface. In the final fitting, the motion parameters are calculated iteratively using the Levenberg-Marquardt algorithm. Simulation and experiments are given to identify the validity of this method. It is demonstrated that the fitting accuracy is as high as 1:106.

Original languageEnglish
Pages (from-to)543-547
Number of pages5
JournalWear
Volume266
Issue number5-6
DOIs
Publication statusPublished - 15 Mar 2009

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metrology
Surface measurement
signatures
templates
mechanical devices
Experiments
simulation

Cite this

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abstract = "Free-form surfaces are widely used in advanced optical and mechanical devices. In order to assess the form accuracy of free-form surfaces, it is needed to fit the measurement surface with the design template. To improve the fitting efficiency and accuracy, the fitting procedure is divided into two stages, rough fitting and final fitting. A new rough fitting method, called structured region signature is proposed. Structured region signature is a generalised global feature which represents the surface shape by a one-dimensional function. The template location occupying the best fitting signature is considered to be the correct initial position of the measurement surface. In the final fitting, the motion parameters are calculated iteratively using the Levenberg-Marquardt algorithm. Simulation and experiments are given to identify the validity of this method. It is demonstrated that the fitting accuracy is as high as 1:106.",
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A New Free-Form Surface Fitting Method for Precision Coordinate Metrology. / Jiang, X.; Scott, P. J.; Zhang, X.

In: Wear, Vol. 266, No. 5-6, 15.03.2009, p. 543-547.

Research output: Contribution to journalArticle

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