76959 20200221144228.0 doi 10.1364/AO.55.009688 sideral 97465 ART-2016-97465 eng (orcid)0000-0002-3698-6719 Ferreira, C. Universidad de Zaragoza Orthogonal basis for the optical transfer function 2016 Access copy available to the general public Unrestricted We propose systems of orthogonal functions qn to represent optical transfer functions (OTF) characterized by including the diffraction-limited OTF as the first basis function q0 = OTFperfect. To this end, we apply a powerful and rigorous theoretical framework based on applying the appropriate change of variables to well-known orthogonal systems. Here we depart from Legendre polynomials for the particular case of rotationally symmetric OTF and from spherical harmonics for the general case. Numerical experiments with different examples show that the number of terms necessary to obtain an accurate linear expansion of the OTF mainly depends on the image quality. In the rotationally symmetric case we obtained a reasonable accuracy with approximately 10 basis functions, but in general, for cases of poor image quality, the number of basis functions may increase and hence affect the efficiency of the method. Other potential applications, such as new image quality metrics are also discussed. info:eu-repo/grantAgreement/ES/MINECO/MTM2014-52859-P info:eu-repo/grantAgreement/ES/MINECO/FIS2014-58303-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.65 2016 OPTICS 50 / 92 = 0.543 2016 Q3 T2 0.694 2016 Electrical and Electronic Engineering 2016 Q1 Engineering (miscellaneous) 2016 Q1 Atomic and Molecular Physics, and Optics 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion López, J.L. (orcid)0000-0002-1328-1716 Navarro, R. Sinusa, E.P. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 55, 34 (2016), 9688-9694 Appl. opt. (2004) APPLIED OPTICS 1559-128X 1279943 http://zaguan.unizar.es/record/76959/files/texto_completo.pdf Postprint 8427 http://zaguan.unizar.es/record/76959/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:76959 articulos driver 2020-02-21-13:18:25 ARTICLE