S. Borman, L. Robert, and . Stevenson, Super-resolution from image sequencesa review, Circuits and Systems Proceedings. 1998 Midwest Symposium on. IEEE, pp.374-378, 1998.

M. Born, E. Wolf, and A. B. Bhatia, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 1999.
DOI : 10.1017/CBO9781139644181

M. Burcklen, Experimental demonstration of extended depth-of-field f/1.2 visible High Definition camera with jointly optimized phase mask and realtime digital processing, Journal of the European Optical Society-Rapid publications, vol.10, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01273682

N. Caron and Y. Sheng, Polynomial phase masks for extending the depth of field of a microscope, Applied optics 47, pp.39-43, 2008.
DOI : 10.1364/AO.47.000E39

A. Castro and J. Ojeda-castañeda, Asymmetric phase masks for extended depth of field, Applied optics 43.17, pp.3474-3479, 2004.
DOI : 10.1364/AO.43.003474

W. Cathey, . Thomas, R. Edward, and . Dowski, New paradigm for imaging systems, Applied optics 41.29, pp.6080-6092, 2002.
DOI : 10.1364/AO.41.006080

F. Champagnat, G. L. Besnerais, and C. Kulcsár, Statistical performance modeling for superresolution: a discrete data-continuous reconstruction framework, Journal of the Optical Society of America A, vol.26, issue.7, pp.1730-1746, 2009.
DOI : 10.1364/JOSAA.26.001730

URL : https://hal.archives-ouvertes.fr/hal-01590483

R. Courant and D. Hilbert, Methods of mathematical physics, CUP Archive, vol.1, p.474, 1965.

M. Demenikov, R. Andrew, and . Harvey, Image artifacts in hybrid imaging systems with a cubic phase mask, Optics express 18, pp.8207-8212, 2010.
DOI : 10.1364/OE.18.008207

F. Diaz, Systeme d'imagerie hybride par codage de pupille, 2011.
URL : https://hal.archives-ouvertes.fr/tel-00624387

F. Diaz, Increase in depth of field taking into account deconvolution by optimization of pupil mask, Optics Letters, vol.34, issue.19, pp.2970-2972, 2009.
DOI : 10.1364/OL.34.002970

URL : https://hal.archives-ouvertes.fr/hal-00746985

F. Diaz, Real-time increase in depth of field of an uncooled thermal camera using several phase-mask technologies, Optics Letters, vol.36, issue.3, pp.418-420, 2011.
DOI : 10.1364/OL.36.000418

URL : https://hal.archives-ouvertes.fr/hal-00747142

E. R. Dowski and W. Cathey, Extended depth of field through wave-front coding, Applied Optics, vol.34, issue.11, pp.1859-1866, 1995.
DOI : 10.1364/AO.34.001859

M. Elad and Y. Hel-or, A fast super-resolution reconstruction algorithm for pure translational motion and common space-invariant blur, IEEE Transactions on Image Processing, vol.10, issue.8, pp.1187-1193, 2001.
DOI : 10.1109/83.935034

J. A. Endler, Natural selection in the wild, 1986.

R. Falcón, C. Kulcsar, and F. Goudail, How Many Rings for Binary Phase Masks Co-optimized for Depth of Field Extension?, Imaging and Applied Optics 2016, pp.1-5, 2016.
DOI : 10.1364/COSI.2016.CTh1D.5

R. Falcón, Performance limits of binary annular phase masks codesigned for depth-of-field extension, Optical Engineering, vol.56, issue.6, pp.65104-065104, 2017.
DOI : 10.1117/1.OE.56.6.065104

G. Forbes, Robust and fast computation for the polynomials of optics, Optics express 18.13, pp.13851-13862, 2010.
DOI : 10.1364/OE.18.013851

D. Gies and Y. Rahmat-samii, Particle swarm optimization for reconfigurable phase-differentiated array design, Microwave and Optical Technology Letters 38.3, pp.168-175, 2003.
DOI : 10.1002/mop.11005

. Guizar-sicairos, . Manuel, T. Samuel, . Thurman, R. James et al., Efficient subpixel image registration algorithms, Optics letters 33.2, pp.156-158, 2008.
DOI : 10.1364/OL.33.000156

R. C. Hardie, J. Kenneth, E. E. Barnard, and . Armstrong, Joint MAP registration and high-resolution image estimation using a sequence of undersampled images, IEEE Transactions on Image Processing, vol.6, issue.12, pp.1621-1633, 1997.
DOI : 10.1109/83.650116

M. Hazewinkel, Spline interpolation, Encyclopedia of Mathematics, 2001.

J. Hu, Comparative study of wavefront coding imaging with rotational and non-rotational symmetric phase masks, International Symposium on Photoelectronic Detection and Imaging 2013: Micro/Nano Optical Imaging Technologies and Applications, pp.89110-89110, 2013.
DOI : 10.1117/12.2035098

R. Hudyma, High numerical aperture ring field projection system for extreme ultraviolet lithography, US Patent, vol.6, p.33079, 2000.

S. Landeau, Evaluation of super-resolution imager with binary fractal test target, Electro-Optical and Infrared Systems: Technology and Applications XI, 2014.

J. Liu, Phase Only Pupil Filter Design Using Zernike Polynomials, Journal of the Optical Society of Korea, vol.20, issue.1, pp.101-106, 2016.
DOI : 10.3807/JOSK.2016.20.1.101

URL : http://ocean.kisti.re.kr/downfile/volume/osk/E1OSAB/2016/v20n1/E1OSAB_2016_v20n1_101.pdf

. Mahajan and N. Virendra, Strehl ratio for primary aberrations: some analytical results for circular and annular pupils, Journal of the Optical Society of America, vol.72, issue.9, pp.1258-1266, 1982.
DOI : 10.1364/JOSA.72.001258

A. Maréchal, Étude des effets combinés de la diffraction et des aberrations géométriques sur l'image d'un point lumineux, In: Rev. Opt, vol.26, pp.257-277, 1947.

S. Mezouari, R. Andrew, and . Harvey, Primary aberrations alleviated with phase pupil filters, Novel Optical Systems Design and Optimization V, pp.21-31, 2002.
DOI : 10.1117/12.482192

S. Mezouari, G. Muyo, R. Andrew, and . Harvey, Circularly symmetric phase filters for control of primary third-order aberrations: coma and astigmatism, Journal of the Optical Society of America A, vol.23, issue.5, pp.1058-1062, 2006.
DOI : 10.1364/JOSAA.23.001058

M. Mino and Y. Okano, Improvement in the OTF of a Defocused Optical System Through the Use of Shaded Apertures, Applied Optics, vol.10, issue.10, pp.2219-2225, 1971.
DOI : 10.1364/AO.10.002219

J. Ojeda-castañeda, A. Andres, and . Diaz, Annular apodizers for low sensitivity to defocus and to spherical aberration, Optics Letters, vol.11, issue.8, pp.487-489, 1986.
DOI : 10.1364/OL.11.000487

S. Prasad, Pupil-phase optimization for extended-focus, aberrationcorrected imaging systems, Optical Science and Technology, the SPIE 49th Annual Meeting. International Society for Optics and Photonics, pp.335-345, 2004.
DOI : 10.1117/12.560235

M. Robinson, . Dirk, G. David, and . Stork, Joint design of lens systems and digital image processing, Contract Proceedings 2006. International Society for Optics and Photonics, pp.63421-63421, 2007.

D. L. Ruderman, Origins of scaling in natural images, Vision Research, vol.37, issue.23, pp.3385-3398, 1997.
DOI : 10.1016/S0042-6989(97)00008-4

A. Sauceda and J. Ojeda-castañeda, High focal depth with fractionalpower wave fronts, Optics letters 29.6, pp.560-562, 2004.
DOI : 10.1364/ol.29.000560

R. R. Schultz, L. Robert, and . Stevenson, Extraction of high-resolution frames from video sequences, IEEE transactions on image processing 5.6, pp.996-1011, 1996.
DOI : 10.1109/83.503915

. Sherif, S. Sherif, T. Cathey, and E. R. Dowski, Phase plate to extend the depth of field of incoherent hybrid imaging systems, Applied Optics, vol.43, issue.13, pp.2709-2721, 2004.
DOI : 10.1364/AO.43.002709

Y. Shi and R. Eberhart, A modified particle swarm optimizer, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360), pp.69-73, 1998.
DOI : 10.1109/ICEC.1998.699146

M. Shokooh-saremi and R. Magnusson, Particle swarm optimization and its application to the design of diffraction grating filters, Optics letters 32, pp.894-896, 2007.
DOI : 10.1364/OL.32.000894

W. J. Smith, Modern optical engineering. Tata McGraw-Hill Education, pp.64-71, 1966.

Y. Suematsu, The solar optical telescope of Solar-B (Hinode): the optical telescope assembly " . In: The Hinode Mission, pp.143-166, 2008.

R. Tsai and T. Huang, Multiframe image restoration and registration, Advances in Computer Vision and Image Processing, 1984.

A. B. Tucker, Computer science handbook, pp.39-40, 2004.

S. C. Tucker, T. Cathey, R. Edward, and . Dowski, Extended depth of field and aberration control for inexpensive digital microscope systems, Optics Express, vol.4, issue.11, pp.467-474, 1999.
DOI : 10.1364/OE.4.000467

N. Wiener, Extrapolation, interpolation, and smoothing of stationary time series, 1949.

Q. Yang, L. Liu, and J. Sun, Optimized phase pupil masks for extended depth of field, Optics Communications, vol.272, issue.1, pp.56-66, 2007.
DOI : 10.1016/j.optcom.2006.11.021

A. Y?ld?z and . R?za, A novel particle swarm optimization approach for product design and manufacturing, The International Journal of Advanced Manufacturing Technology, vol.116, issue.5-6, pp.617-628, 2009.
DOI : 10.1115/1.2919393

H. Zhao and Y. Li, Optimized sinusoidal phase mask to extend the depth of field of an incoherent imaging system, Optics letters 35, pp.267-269, 2010.
DOI : 10.1364/OL.35.000267

T. Zhao, Axial intensity distribution analysis for a depth-of-fieldextended optical system using a low-frequency binary phase mask, pp.3782-3786, 2014.