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Computer Optics, 2016, Volume 40, Issue 3, Pages 338–345 (Mi co149)  

OPTO-IT

On optical surface reconstruction from a prescribed source-target mapping

L. L. Doskolovichab, E. S. Andreevba, M. A. Moiseevab

a Image Processing Systems Institute îf RAS,– Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia
b Samara National Research University, Samara, Russia

Abstract: A new optical surface reconstruction technique in the source-target mapping method is proposed. The technique is based on the representation of the surface as an envelope of a parametric family of paraboloids (ellipsoids). Using such a representation, the calculation of the optical surface is reduced to solving a complete differential equation without regard for the coordinate system. By way of illustration, mirrors that generate uniform intensity distributions in a square region are designed. Simulation of the design examples shows high performance of the proposed technique: it allows us to obtain good-quality intensity distributions even with violation of the integrability condition.

Keywords: geometrical optics, source-target map, surface reconstruction, mirror, intensity distribution.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-07-00339-à
This work was supported by RFBR grant number 14-07-00339.


DOI: https://doi.org/10.18287/2412-6179-2016-40-3-338-345

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Full text: http://www.computeroptics.smr.ru/.../400305.html
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Received: 29.04.2016
Accepted:23.06.2016

Citation: L. L. Doskolovich, E. S. Andreev, M. A. Moiseev, “On optical surface reconstruction from a prescribed source-target mapping”, Computer Optics, 40:3 (2016), 338–345

Citation in format AMSBIB
\Bibitem{DosAndMoi16}
\by L.~L.~Doskolovich, E.~S.~Andreev, M.~A.~Moiseev
\paper On optical surface reconstruction from a prescribed source-target mapping
\jour Computer Optics
\yr 2016
\vol 40
\issue 3
\pages 338--345
\mathnet{http://mi.mathnet.ru/co149}
\crossref{https://doi.org/10.18287/2412-6179-2016-40-3-338-345}


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