A new approach to characterising aspheric surfaces
A new approach to characterising aspheric surfaces
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.
aspheric surfaces, fitting algorithm, nonlinear least-squares
171-179
Sun, W.
757d6a43-7d09-4c5c-9ea1-f6639311d433
McBride, J.W.
d9429c29-9361-4747-9ba3-376297cb8770
Hill, M.
0cda65c8-a70f-476f-b126-d2c4460a253e
January 2010
Sun, W.
757d6a43-7d09-4c5c-9ea1-f6639311d433
McBride, J.W.
d9429c29-9361-4747-9ba3-376297cb8770
Hill, M.
0cda65c8-a70f-476f-b126-d2c4460a253e
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.
Text
A_New_Approach_in_Fitting_Aspheric_Surfaces_JMcB_final.pdf
- Author's Original
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
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Date deposited: 30 Apr 2008
Last modified: 16 Mar 2024 02:41
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Author:
W. Sun
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