Image-forming systems: Matrix formulation of the optical invariant via Fourier optics

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In this paper we consider Fourier optics and from it we obtain the expression for the optical invariant valid for any image-forming system. The invariant that we derive is applicable to systems which are or are not centred or symmetrical and therefore it is written in a matrix form. When the paraxia...

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Detalles Bibliográficos
Autores principales: Simon, J.M., Comastri, S.A.
Formato: JOUR
Materias:
Image processing
Mathematical models
Matrix algebra
Lagrange-Helmholtz invariant
Optical invariant
Fourier optics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09500340_v43_n12_p2533_Simon
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_09500340_v43_n12_p2533_Simon
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spelling todo:paper_09500340_v43_n12_p2533_Simon2023-10-03T15:49:47Z Image-forming systems: Matrix formulation of the optical invariant via Fourier optics Simon, J.M. Comastri, S.A. Image processing Mathematical models Matrix algebra Lagrange-Helmholtz invariant Optical invariant Fourier optics In this paper we consider Fourier optics and from it we obtain the expression for the optical invariant valid for any image-forming system. The invariant that we derive is applicable to systems which are or are not centred or symmetrical and therefore it is written in a matrix form. When the paraxial approximation holds, the optical invariant reduces to the classical Lagrange–Helmholtz invariant. © 1996 Taylor & Francis Group, LLC. Fil:Simon, J.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Comastri, S.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09500340_v43_n12_p2533_Simon
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Image processing
Mathematical models
Matrix algebra
Lagrange-Helmholtz invariant
Optical invariant
Fourier optics
spellingShingle Image processing
Mathematical models
Matrix algebra
Lagrange-Helmholtz invariant
Optical invariant
Fourier optics
Simon, J.M.
Comastri, S.A.
Image-forming systems: Matrix formulation of the optical invariant via Fourier optics
topic_facet Image processing
Mathematical models
Matrix algebra
Lagrange-Helmholtz invariant
Optical invariant
Fourier optics
description In this paper we consider Fourier optics and from it we obtain the expression for the optical invariant valid for any image-forming system. The invariant that we derive is applicable to systems which are or are not centred or symmetrical and therefore it is written in a matrix form. When the paraxial approximation holds, the optical invariant reduces to the classical Lagrange–Helmholtz invariant. © 1996 Taylor & Francis Group, LLC.
format JOUR
author Simon, J.M.
Comastri, S.A.
author_facet Simon, J.M.
Comastri, S.A.
author_sort Simon, J.M.
title Image-forming systems: Matrix formulation of the optical invariant via Fourier optics
title_short Image-forming systems: Matrix formulation of the optical invariant via Fourier optics
title_full Image-forming systems: Matrix formulation of the optical invariant via Fourier optics
title_fullStr Image-forming systems: Matrix formulation of the optical invariant via Fourier optics
title_full_unstemmed Image-forming systems: Matrix formulation of the optical invariant via Fourier optics
title_sort image-forming systems: matrix formulation of the optical invariant via fourier optics
url http://hdl.handle.net/20.500.12110/paper_09500340_v43_n12_p2533_Simon
work_keys_str_mv AT simonjm imageformingsystemsmatrixformulationoftheopticalinvariantviafourieroptics
AT comastrisa imageformingsystemsmatrixformulationoftheopticalinvariantviafourieroptics
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