F. Aguet, S. Geissbühler, I. Märki, T. Lasser, and M. Unser, “Super-resolution orientation estimation and localization of fluorescent dipoles using 3-d steerable filters,” Opt. Express 17, 6829–6848 (2009).

[CrossRef]
[PubMed]

M. Debailleul, V. Georges, B. Simon, R. Morin, and O. Haeberle, “High-resolution three-dimensional tomographic diffractive microscopy of transparent inorganic and biological samples,” Opt. Lett. 34, 79–81 (2009).

[CrossRef]

G. Indebetouw, Y. Tada, J. Rosen, and G. Brooker, “Scanning holographic microscopy with resolution exceeding the rayleigh limit of the objective by superposition of off-axis holograms,” Appl. Opt. 46, 993–1000 (2007).

[CrossRef]
[PubMed]

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

C. J. Sheppard, “Fundamentals of superresolution,” Micron 38, 165–169 (2007).

[CrossRef]

P. Sarder and A. Nehorai, “Deconvolution methods for 3-d fluorescence microscopy images,” IEEE Signal Process. Mag. 23, 32–45 (2006).

[CrossRef]

S. V. Aert, D. V. Dyck, and A. J. den Dekker, “Resolution of coherent and incoherent imaging systems reconsidered—classical criteria and a statistical alternative,” Opt. Express 14, 3830–3839 (2006).

[CrossRef]
[PubMed]

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

M. Leutenegger, R. Rao, R. A. Leitgeb, and T. Lasser, “Fast focus field calculations,” Opt. Express 14, 11277–11291 (2006).

[CrossRef]
[PubMed]

H. Guo, S. Zhuang, J. Chen, and Z. Liang, “Imaging theory of an aplanatic system with a stratified medium based on the method for a vector coherent transfer function,” Opt. Lett. 31, 2978–2980 (2006).

[CrossRef]
[PubMed]

B. Colicchio, O. Haeberl, C. Xu, A. Dieterlen, and G. Jung, “Improvement of the lls and map deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data,” Opt. Commun. 244, 37 – 49 (2005).

[CrossRef]

V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002).

[CrossRef]
[PubMed]

M. G. L. Gustafsson, “Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy,” J. Microsc. 198, 82–87 (2000).

[CrossRef]
[PubMed]

J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello, “Three-dimensional imaging by deconvolution microscopy,” Methods 19, 373–385 (1999).

[CrossRef]
[PubMed]

E. Cuche, P. Marquet, and C. Depeursinge, “Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of fresnel off-axis holograms,” Appl. Opt. 38, 6994–7001 (1999).

[CrossRef]

A. Shemer, D. Mendlovic, Z. Zalevsky, J. Garcia, and P. G. Martinez, “Superresolving optical system with time multiplexing and computer decoding,” Appl. Opt. 38, 7245–7251 (1999).

[CrossRef]

D. Mendlovic, A. W. Lohmann, N. Konforti, I. Kiryuschev, and Z. Zalevsky, “One-dimensional superresolution optical system for temporally restricted objects,” Appl. Opt. 36, 2353–2359 (1997).

[CrossRef]
[PubMed]

V. Torczon, “On the convergence of pattern search algorithms,” SIAM J. Optim. 7, 125 (1997).

[CrossRef]

M. Totzeck and H. J. Tiziani, “Phase-singularities in 2d diffraction fields and interference microscopy,” Opt. Commun. 138, 365–382 (1997).

[CrossRef]

C. J. Sheppard and K. Larkin, “Vectorial pupil functions and vectorial transfer functions,” Optik (Stuttg.) 107, 79–87 (1997).

C. J. R. Sheppard and M. Gu, “Imaging by a high aperture optical-system,” J. Mod. Opt. 40, 1631–1651 (1993).

[CrossRef]

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1987), 6th ed.

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

B. Colicchio, O. Haeberl, C. Xu, A. Dieterlen, and G. Jung, “Improvement of the lls and map deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data,” Opt. Commun. 244, 37 – 49 (2005).

[CrossRef]

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

C. Depeursinge, P. Jourdain, B. Rappaz, P. Magistretti, T. Colomb, and P. Marquet, “Cell biology explored with digital holographic microscopy,” Biomed. Opt. p. BMD58 (2008).

J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello, “Three-dimensional imaging by deconvolution microscopy,” Methods 19, 373–385 (1999).

[CrossRef]
[PubMed]

J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello, “Three-dimensional imaging by deconvolution microscopy,” Methods 19, 373–385 (1999).

[CrossRef]
[PubMed]

Y. Cotte, M. F. Toy, E. Shaffer, N. Pavillon, and C. Depeursinge, “Sub-rayleigh resolution by phase imaging,” Opt. Lett. 35, 2176–2178 (2010).

[CrossRef]
[PubMed]

Y. Cotte and C. Depeursinge, “Measurement of the complex amplitude point spread function by a diffracting circular aperture,” in “Focus on Microscopy,” (2009), Advanced linear and non-linear imaging, pp. TU-AF2-PAR-D.

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

Y. Cotte, M. F. Toy, E. Shaffer, N. Pavillon, and C. Depeursinge, “Sub-rayleigh resolution by phase imaging,” Opt. Lett. 35, 2176–2178 (2010).

[CrossRef]
[PubMed]

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

E. Cuche, P. Marquet, and C. Depeursinge, “Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of fresnel off-axis holograms,” Appl. Opt. 38, 6994–7001 (1999).

[CrossRef]

C. Depeursinge, P. Jourdain, B. Rappaz, P. Magistretti, T. Colomb, and P. Marquet, “Cell biology explored with digital holographic microscopy,” Biomed. Opt. p. BMD58 (2008).

Y. Cotte and C. Depeursinge, “Measurement of the complex amplitude point spread function by a diffracting circular aperture,” in “Focus on Microscopy,” (2009), Advanced linear and non-linear imaging, pp. TU-AF2-PAR-D.

N. Pavillon, C. S. Seelamantula, J. Kühn, M. Unser, and C. Depeursinge, “Suppression of the zero-order term in off-axis digital holography through nonlinear filtering,” Appl. Opt.48, H186–H195 (2009).

[CrossRef]
[PubMed]

B. Colicchio, O. Haeberl, C. Xu, A. Dieterlen, and G. Jung, “Improvement of the lls and map deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data,” Opt. Commun. 244, 37 – 49 (2005).

[CrossRef]

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

D. E. Goldberg, Genetic Algorithms in Search, Optimization & Machine Learning (Addison-Wesley, 1989).

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

C. J. R. Sheppard and M. Gu, “Imaging by a high aperture optical-system,” J. Mod. Opt. 40, 1631–1651 (1993).

[CrossRef]

M. Gu, Advanced Optical Imaging Theory (Springer-Verlag, 2000).

M. G. L. Gustafsson, “Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy,” J. Microsc. 198, 82–87 (2000).

[CrossRef]
[PubMed]

B. Colicchio, O. Haeberl, C. Xu, A. Dieterlen, and G. Jung, “Improvement of the lls and map deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data,” Opt. Commun. 244, 37 – 49 (2005).

[CrossRef]

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

C. Depeursinge, P. Jourdain, B. Rappaz, P. Magistretti, T. Colomb, and P. Marquet, “Cell biology explored with digital holographic microscopy,” Biomed. Opt. p. BMD58 (2008).

B. Colicchio, O. Haeberl, C. Xu, A. Dieterlen, and G. Jung, “Improvement of the lls and map deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data,” Opt. Commun. 244, 37 – 49 (2005).

[CrossRef]

J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello, “Three-dimensional imaging by deconvolution microscopy,” Methods 19, 373–385 (1999).

[CrossRef]
[PubMed]

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

N. Pavillon, C. S. Seelamantula, J. Kühn, M. Unser, and C. Depeursinge, “Suppression of the zero-order term in off-axis digital holography through nonlinear filtering,” Appl. Opt.48, H186–H195 (2009).

[CrossRef]
[PubMed]

C. J. Sheppard and K. Larkin, “Vectorial pupil functions and vectorial transfer functions,” Optik (Stuttg.) 107, 79–87 (1997).

F. Aguet, S. Geissbühler, I. Märki, T. Lasser, and M. Unser, “Super-resolution orientation estimation and localization of fluorescent dipoles using 3-d steerable filters,” Opt. Express 17, 6829–6848 (2009).

[CrossRef]
[PubMed]

M. Leutenegger, R. Rao, R. A. Leitgeb, and T. Lasser, “Fast focus field calculations,” Opt. Express 14, 11277–11291 (2006).

[CrossRef]
[PubMed]

V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002).

[CrossRef]
[PubMed]

C. Depeursinge, P. Jourdain, B. Rappaz, P. Magistretti, T. Colomb, and P. Marquet, “Cell biology explored with digital holographic microscopy,” Biomed. Opt. p. BMD58 (2008).

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

E. Cuche, P. Marquet, and C. Depeursinge, “Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of fresnel off-axis holograms,” Appl. Opt. 38, 6994–7001 (1999).

[CrossRef]

C. Depeursinge, P. Jourdain, B. Rappaz, P. Magistretti, T. Colomb, and P. Marquet, “Cell biology explored with digital holographic microscopy,” Biomed. Opt. p. BMD58 (2008).

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello, “Three-dimensional imaging by deconvolution microscopy,” Methods 19, 373–385 (1999).

[CrossRef]
[PubMed]

A. Shemer, D. Mendlovic, Z. Zalevsky, J. Garcia, and P. G. Martinez, “Superresolving optical system with time multiplexing and computer decoding,” Appl. Opt. 38, 7245–7251 (1999).

[CrossRef]

D. Mendlovic, A. W. Lohmann, N. Konforti, I. Kiryuschev, and Z. Zalevsky, “One-dimensional superresolution optical system for temporally restricted objects,” Appl. Opt. 36, 2353–2359 (1997).

[CrossRef]
[PubMed]

Z. Zalevsky and D. Mendlovic, Optical superresolution, vol. 91 (Springer, 2004).

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

P. Sarder and A. Nehorai, “Deconvolution methods for 3-d fluorescence microscopy images,” IEEE Signal Process. Mag. 23, 32–45 (2006).

[CrossRef]

Y. Cotte, M. F. Toy, E. Shaffer, N. Pavillon, and C. Depeursinge, “Sub-rayleigh resolution by phase imaging,” Opt. Lett. 35, 2176–2178 (2010).

[CrossRef]
[PubMed]

N. Pavillon, C. S. Seelamantula, J. Kühn, M. Unser, and C. Depeursinge, “Suppression of the zero-order term in off-axis digital holography through nonlinear filtering,” Appl. Opt.48, H186–H195 (2009).

[CrossRef]
[PubMed]

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

C. Depeursinge, P. Jourdain, B. Rappaz, P. Magistretti, T. Colomb, and P. Marquet, “Cell biology explored with digital holographic microscopy,” Biomed. Opt. p. BMD58 (2008).

P. Sarder and A. Nehorai, “Deconvolution methods for 3-d fluorescence microscopy images,” IEEE Signal Process. Mag. 23, 32–45 (2006).

[CrossRef]

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

W. Wallace, L. H. Schaefer, and J. R. Swedlow, “A workingperson’s guide to deconvolution in light microscopy.” Biotechniques31 (2001).

[PubMed]

N. Pavillon, C. S. Seelamantula, J. Kühn, M. Unser, and C. Depeursinge, “Suppression of the zero-order term in off-axis digital holography through nonlinear filtering,” Appl. Opt.48, H186–H195 (2009).

[CrossRef]
[PubMed]

C. J. Sheppard, “Fundamentals of superresolution,” Micron 38, 165–169 (2007).

[CrossRef]

C. J. Sheppard and K. Larkin, “Vectorial pupil functions and vectorial transfer functions,” Optik (Stuttg.) 107, 79–87 (1997).

C. J. R. Sheppard and M. Gu, “Imaging by a high aperture optical-system,” J. Mod. Opt. 40, 1631–1651 (1993).

[CrossRef]

W. Wallace, L. H. Schaefer, and J. R. Swedlow, “A workingperson’s guide to deconvolution in light microscopy.” Biotechniques31 (2001).

[PubMed]

M. Totzeck and H. J. Tiziani, “Phase-singularities in 2d diffraction fields and interference microscopy,” Opt. Commun. 138, 365–382 (1997).

[CrossRef]

V. Torczon, “On the convergence of pattern search algorithms,” SIAM J. Optim. 7, 125 (1997).

[CrossRef]

M. Totzeck and H. J. Tiziani, “Phase-singularities in 2d diffraction fields and interference microscopy,” Opt. Commun. 138, 365–382 (1997).

[CrossRef]

F. Aguet, S. Geissbühler, I. Märki, T. Lasser, and M. Unser, “Super-resolution orientation estimation and localization of fluorescent dipoles using 3-d steerable filters,” Opt. Express 17, 6829–6848 (2009).

[CrossRef]
[PubMed]

N. Pavillon, C. S. Seelamantula, J. Kühn, M. Unser, and C. Depeursinge, “Suppression of the zero-order term in off-axis digital holography through nonlinear filtering,” Appl. Opt.48, H186–H195 (2009).

[CrossRef]
[PubMed]

C. Vonesch, “Fast and automated wavelet-regularized image restoration in fluorescence microscopy,” Ph.D. thesis, EPFL, LIB Laboratoire d’imagerie biomédicale (2009).

W. Wallace, L. H. Schaefer, and J. R. Swedlow, “A workingperson’s guide to deconvolution in light microscopy.” Biotechniques31 (2001).

[PubMed]

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1987), 6th ed.

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

B. Colicchio, O. Haeberl, C. Xu, A. Dieterlen, and G. Jung, “Improvement of the lls and map deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data,” Opt. Commun. 244, 37 – 49 (2005).

[CrossRef]

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

V. Mico, Z. Zalevsky, C. Ferreira, and J. García, “Superresolution digital holographic microscopy for three-dimensional samples,” Opt. Express 16, 19260–19270 (2008).

[CrossRef]

A. Shemer, D. Mendlovic, Z. Zalevsky, J. Garcia, and P. G. Martinez, “Superresolving optical system with time multiplexing and computer decoding,” Appl. Opt. 38, 7245–7251 (1999).

[CrossRef]

D. Mendlovic, A. W. Lohmann, N. Konforti, I. Kiryuschev, and Z. Zalevsky, “One-dimensional superresolution optical system for temporally restricted objects,” Appl. Opt. 36, 2353–2359 (1997).

[CrossRef]
[PubMed]

Z. Zalevsky and D. Mendlovic, Optical superresolution, vol. 91 (Springer, 2004).

D. Mendlovic, A. W. Lohmann, N. Konforti, I. Kiryuschev, and Z. Zalevsky, “One-dimensional superresolution optical system for temporally restricted objects,” Appl. Opt. 36, 2353–2359 (1997).

[CrossRef]
[PubMed]

A. Shemer, D. Mendlovic, Z. Zalevsky, J. Garcia, and P. G. Martinez, “Superresolving optical system with time multiplexing and computer decoding,” Appl. Opt. 38, 7245–7251 (1999).

[CrossRef]

E. Cuche, P. Marquet, and C. Depeursinge, “Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of fresnel off-axis holograms,” Appl. Opt. 38, 6994–7001 (1999).

[CrossRef]

G. Indebetouw, Y. Tada, J. Rosen, and G. Brooker, “Scanning holographic microscopy with resolution exceeding the rayleigh limit of the objective by superposition of off-axis holograms,” Appl. Opt. 46, 993–1000 (2007).

[CrossRef]
[PubMed]

P. Sarder and A. Nehorai, “Deconvolution methods for 3-d fluorescence microscopy images,” IEEE Signal Process. Mag. 23, 32–45 (2006).

[CrossRef]

M. G. L. Gustafsson, “Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy,” J. Microsc. 198, 82–87 (2000).

[CrossRef]
[PubMed]

A. Marian, F. Charrière, T. Colomb, F. Montfort, J. Kühn, P. Marquet, and C. Depeursinge, “On the complex three-dimensional amplitude point spread function of lenses and microscope objectives: theoretical aspects, simulations and measurements by digital holography,” J. Microsc. 225, 156–169 (2007).

[CrossRef]
[PubMed]

V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002).

[CrossRef]
[PubMed]

C. J. R. Sheppard and M. Gu, “Imaging by a high aperture optical-system,” J. Mod. Opt. 40, 1631–1651 (1993).

[CrossRef]

J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello, “Three-dimensional imaging by deconvolution microscopy,” Methods 19, 373–385 (1999).

[CrossRef]
[PubMed]

C. J. Sheppard, “Fundamentals of superresolution,” Micron 38, 165–169 (2007).

[CrossRef]

B. Colicchio, O. Haeberl, C. Xu, A. Dieterlen, and G. Jung, “Improvement of the lls and map deconvolution algorithms by automatic determination of optimal regularization parameters and pre-filtering of original data,” Opt. Commun. 244, 37 – 49 (2005).

[CrossRef]

M. Totzeck and H. J. Tiziani, “Phase-singularities in 2d diffraction fields and interference microscopy,” Opt. Commun. 138, 365–382 (1997).

[CrossRef]

S. V. Aert, D. V. Dyck, and A. J. den Dekker, “Resolution of coherent and incoherent imaging systems reconsidered—classical criteria and a statistical alternative,” Opt. Express 14, 3830–3839 (2006).

[CrossRef]
[PubMed]

F. Aguet, S. Geissbühler, I. Märki, T. Lasser, and M. Unser, “Super-resolution orientation estimation and localization of fluorescent dipoles using 3-d steerable filters,” Opt. Express 17, 6829–6848 (2009).

[CrossRef]
[PubMed]

V. Mico, Z. Zalevsky, C. Ferreira, and J. García, “Superresolution digital holographic microscopy for three-dimensional samples,” Opt. Express 16, 19260–19270 (2008).

[CrossRef]

X. Heng, X. Q. Cui, D. W. Knapp, J. G. Wu, Z. Yaqoob, E. J. McDowell, D. Psaltis, and C. H. Yang, “Characterization of light collection through a subwavelength aperture from a point source,” Opt. Express 14, 10410–10425 (2006).

[CrossRef]
[PubMed]

M. Leutenegger, R. Rao, R. A. Leitgeb, and T. Lasser, “Fast focus field calculations,” Opt. Express 14, 11277–11291 (2006).

[CrossRef]
[PubMed]

M. Debailleul, V. Georges, B. Simon, R. Morin, and O. Haeberle, “High-resolution three-dimensional tomographic diffractive microscopy of transparent inorganic and biological samples,” Opt. Lett. 34, 79–81 (2009).

[CrossRef]

Y. Cotte, M. F. Toy, E. Shaffer, N. Pavillon, and C. Depeursinge, “Sub-rayleigh resolution by phase imaging,” Opt. Lett. 35, 2176–2178 (2010).

[CrossRef]
[PubMed]

H. Guo, S. Zhuang, J. Chen, and Z. Liang, “Imaging theory of an aplanatic system with a stratified medium based on the method for a vector coherent transfer function,” Opt. Lett. 31, 2978–2980 (2006).

[CrossRef]
[PubMed]

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 227–246 (1972).

C. J. Sheppard and K. Larkin, “Vectorial pupil functions and vectorial transfer functions,” Optik (Stuttg.) 107, 79–87 (1997).

V. Torczon, “On the convergence of pattern search algorithms,” SIAM J. Optim. 7, 125 (1997).

[CrossRef]

Z. Zalevsky and D. Mendlovic, Optical superresolution, vol. 91 (Springer, 2004).

C. Depeursinge, P. Jourdain, B. Rappaz, P. Magistretti, T. Colomb, and P. Marquet, “Cell biology explored with digital holographic microscopy,” Biomed. Opt. p. BMD58 (2008).

C. Vonesch, “Fast and automated wavelet-regularized image restoration in fluorescence microscopy,” Ph.D. thesis, EPFL, LIB Laboratoire d’imagerie biomédicale (2009).

W. Wallace, L. H. Schaefer, and J. R. Swedlow, “A workingperson’s guide to deconvolution in light microscopy.” Biotechniques31 (2001).

[PubMed]

D. E. Goldberg, Genetic Algorithms in Search, Optimization & Machine Learning (Addison-Wesley, 1989).

N. Pavillon, C. S. Seelamantula, J. Kühn, M. Unser, and C. Depeursinge, “Suppression of the zero-order term in off-axis digital holography through nonlinear filtering,” Appl. Opt.48, H186–H195 (2009).

[CrossRef]
[PubMed]

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1987), 6th ed.

M. Gu, Advanced Optical Imaging Theory (Springer-Verlag, 2000).

Y. Cotte and C. Depeursinge, “Measurement of the complex amplitude point spread function by a diffracting circular aperture,” in “Focus on Microscopy,” (2009), Advanced linear and non-linear imaging, pp. TU-AF2-PAR-D.