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A new approach to characterising aspheric surfaces

Sun, W., McBride, J.W. and Hill, M. (2010) A new approach to characterising aspheric surfaces Precision Engineering, 34, (1), pp. 171-179. (doi:10.1016/j.precisioneng.2009.05.005).

Record type: Article

Abstract

In this paper, a new approach to fitting aspheric surfaces in three-dimensional space is proposed, based on the nonlinear least-squares algorithm. The method is superior to conventional solutions as all the surface parameters can be estimated simultaneously based on the design equation, thus allowing the result to be directly compared to design parameters. Conventionally, aspheric surfaces can be fitted with simplified surface models, such as a second order surface or polynomial model. Using this approach the estimated parameters cannot be compared with the design values, breaking the link between the designed and measured surface. The new method is developed here and tested on computer simulated aspheric surfaces. Both ideal surfaces and surfaces with random irregularities are considered. Issues regarding the application of the fitting method to real measured surfaces are discussed.

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More information

Submitted date: February 2008
Published date: January 2010
Keywords: aspheric surfaces, fitting algorithm, nonlinear least-squares
Organisations: Electro-Mechanical Engineering

Identifiers

Local EPrints ID: 51013
URI: http://eprints.soton.ac.uk/id/eprint/51013
ISSN: 0141-6359
PURE UUID: 612fed78-5c00-4a99-8ffb-20994d6f588c
ORCID for M. Hill: ORCID iD orcid.org/0000-0001-6448-9448

Catalogue record

Date deposited: 30 Apr 2008
Last modified: 17 Jul 2017 14:49

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