| Issue |
J. Eur. Opt. Soc.-Rapid Publ.
Volume 13, Number 1, 2017
|
|
|---|---|---|
| Article Number | 11 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1186/s41476-017-0040-1 | |
| Published online | 11 April 2017 | |
Research
Robust and precise algorithm for aspheric surfaces characterization by the conic section
Czech Metrology Institute, Okružní 31, CZ63800, Brno, Czech Republic
Received:
19
January
2017
Accepted:
3
April
2017
Background: A new algorithm for precise characterisation of rotationally symmetric aspheric surfaces by the conic section and polynomial according to the ISO 10110 standard is described.
Methods: The algorithm uses only the iterative linear least squares. It uses fitting the surface form in a combination with terms containing its spatial derivatives that represent infinitesimal transformations of form.
Results: The algorithm reaches sub-nanometre residuals even though the aspheric surface is translated and rotated in the space.
Conclusion: he algorithm is computationally robust and an influence of local surface imperfections can be easily reduced by use of a criterion for residuals.
Key words: Aspheric lens / Robust algorithm / Least squares fitting / Metrology / ISO 10110
© The Author(s) 2017
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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