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H. Sierra, C. A. DiMarzio, and D. H. Brooks, “3D effects in DIC images of extended objects,” Proc. SPIE 7184, 71840D (2009).

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H. Sierra, C. A. DiMarzio, and D. H. Brooks, “3D effects in DIC images of extended objects,” Proc. SPIE 7184, 71840D (2009).

H. Sierra, C. A. DiMarzio, and D. H. Brooks, “Modeling phase microscopy of transparent three-dimensional objects: a product-of-convolutions approach,” J. Opt. Soc. Am. A 26, 1268–1276 (2009).

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S. Trattner, E. Kashdan, M. Feigin, M. Greenspan, C.-F. Westin, and N. Sochen, “DIC microscopic imaging of living cell and error analysis of Born approximation,” in Proceedings of 3rd Workshop on Microscopic Image Analysis with Applications in Biology, in conjunction with MICCAI’08 (2008).

S. Trattner, M. Feigin, E. Kashdan, and N. Sochen, “GPU accelerated electromagnetic scattering and diffraction in 3D microscopic image formation,” in Proceedings of the 3rd Workshop on GPUs for Computer Vision, Barcelona, Spain (2011).

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S. Trattner, E. Kashdan, H. Greenspan, and N. Sochen, “Human embryo under the DIC microscope—vectorial approach to the electromagnetic scattering simulation,” in Proceedings of 8th International Conference on Spectral and High-Order Accurate Methods (ICOSAHOM), Trondheim, Norway (2009).

S. Trattner, M. Feigin, H. Greenspan, and N. Sochen, “Can Born approximate the unborn? A new validity criterion for the Born approximation in microscopic imaging,” in Mathematical Methods in Biomedical Image Analysis (MMBIA) Workshop, in conjunction with ICCV’07, Rio de Janeiro, Brazil (2007).

S. Trattner, E. Kashdan, M. Feigin, M. Greenspan, C.-F. Westin, and N. Sochen, “DIC microscopic imaging of living cell and error analysis of Born approximation,” in Proceedings of 3rd Workshop on Microscopic Image Analysis with Applications in Biology, in conjunction with MICCAI’08 (2008).

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C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

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F. Kagalwala, F. Lanni, and T. Kanade, “Computational model of DIC microscopy: from observations to measurements,” Technical report CMU-R1 TR (Carnegie Mellon University, 2000).

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[CrossRef]

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[CrossRef]

S. Trattner, M. Feigin, E. Kashdan, and N. Sochen, “GPU accelerated electromagnetic scattering and diffraction in 3D microscopic image formation,” in Proceedings of the 3rd Workshop on GPUs for Computer Vision, Barcelona, Spain (2011).

S. Trattner, E. Kashdan, M. Feigin, M. Greenspan, C.-F. Westin, and N. Sochen, “DIC microscopic imaging of living cell and error analysis of Born approximation,” in Proceedings of 3rd Workshop on Microscopic Image Analysis with Applications in Biology, in conjunction with MICCAI’08 (2008).

S. Trattner, E. Kashdan, H. Greenspan, and N. Sochen, “Human embryo under the DIC microscope—vectorial approach to the electromagnetic scattering simulation,” in Proceedings of 8th International Conference on Spectral and High-Order Accurate Methods (ICOSAHOM), Trondheim, Norway (2009).

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W. Lang, “Nomarski differential interference contrast microscopy. II. Formation of the interference image,” Zeiss Information 71, 12–16 (1969).

W. Lang, “Nomarski differential interference contrast microscopy. I. Fundamentals and experimental designs,” Zeiss Information 70, 114–120 (1968).

F. Kagalwala, F. Lanni, and T. Kanade, “Computational model of DIC microscopy: from observations to measurements,” Technical report CMU-R1 TR (Carnegie Mellon University, 2000).

M. Arnison, K. Larkin, C. Sheppard, N. Smith, and C. Cogswell, “Linear phase imaging using differential interference contrast microscopy,” J. Microsc. 214, 7–12 (2004).

[CrossRef]

C. D. Meinhart and S. T. Wereley, “The theory of diffraction-limited resolution in microparticle image velocimetry,” Meas. Sci. Technol. 14, 1047–1053 (2003).

[CrossRef]

M. Mishchenko, L. Travis, and A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (NASA Goddard Institute for Space Studies, 2006).

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M. Pluta, Advanced Light Microscopy, Vol. 2 (Elsevier Science, 1988).

J. Sijbers and A. Postnov, “Reduction of ring artifacts in high resolution micro-CT reconstructions,” Phys. Med. Biol. 49, N247–N253 (2004).

[CrossRef]

P. David and P. Rabinowitz, Methods of Numerical Integration (Academic, 1975).

D. Agard and J. Sedat, “Three-dimensional architecture of a polytene nucleus,” Nature 302, 676–681 (1983).

[CrossRef]

M. Arnison, K. Larkin, C. Sheppard, N. Smith, and C. Cogswell, “Linear phase imaging using differential interference contrast microscopy,” J. Microsc. 214, 7–12 (2004).

[CrossRef]

H. Sierra, C. A. DiMarzio, and D. H. Brooks, “Modeling phase microscopy of transparent three-dimensional objects: a product-of-convolutions approach,” J. Opt. Soc. Am. A 26, 1268–1276 (2009).

[CrossRef]

H. Sierra, C. A. DiMarzio, and D. H. Brooks, “3D effects in DIC images of extended objects,” Proc. SPIE 7184, 71840D (2009).

J. Sijbers and A. Postnov, “Reduction of ring artifacts in high resolution micro-CT reconstructions,” Phys. Med. Biol. 49, N247–N253 (2004).

[CrossRef]

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[CrossRef]

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[CrossRef]

S. Trattner, M. Feigin, H. Greenspan, and N. Sochen, “Can Born approximate the unborn? A new validity criterion for the Born approximation in microscopic imaging,” in Mathematical Methods in Biomedical Image Analysis (MMBIA) Workshop, in conjunction with ICCV’07, Rio de Janeiro, Brazil (2007).

S. Trattner, E. Kashdan, M. Feigin, M. Greenspan, C.-F. Westin, and N. Sochen, “DIC microscopic imaging of living cell and error analysis of Born approximation,” in Proceedings of 3rd Workshop on Microscopic Image Analysis with Applications in Biology, in conjunction with MICCAI’08 (2008).

S. Trattner, E. Kashdan, H. Greenspan, and N. Sochen, “Human embryo under the DIC microscope—vectorial approach to the electromagnetic scattering simulation,” in Proceedings of 8th International Conference on Spectral and High-Order Accurate Methods (ICOSAHOM), Trondheim, Norway (2009).

S. Trattner, M. Feigin, E. Kashdan, and N. Sochen, “GPU accelerated electromagnetic scattering and diffraction in 3D microscopic image formation,” in Proceedings of the 3rd Workshop on GPUs for Computer Vision, Barcelona, Spain (2011).

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S. Trattner, M. Feigin, H. Greenspan, and N. Sochen, “Validity criterion for the Born approximation convergence in microscopy imaging,” J. Opt. Soc. Am. A 26, 1147–1156 (2009).

[CrossRef]

S. Trattner, M. Feigin, H. Greenspan, and N. Sochen, “Can Born approximate the unborn? A new validity criterion for the Born approximation in microscopic imaging,” in Mathematical Methods in Biomedical Image Analysis (MMBIA) Workshop, in conjunction with ICCV’07, Rio de Janeiro, Brazil (2007).

S. Trattner, E. Kashdan, M. Feigin, M. Greenspan, C.-F. Westin, and N. Sochen, “DIC microscopic imaging of living cell and error analysis of Born approximation,” in Proceedings of 3rd Workshop on Microscopic Image Analysis with Applications in Biology, in conjunction with MICCAI’08 (2008).

S. Trattner, M. Feigin, E. Kashdan, and N. Sochen, “GPU accelerated electromagnetic scattering and diffraction in 3D microscopic image formation,” in Proceedings of the 3rd Workshop on GPUs for Computer Vision, Barcelona, Spain (2011).

S. Trattner, E. Kashdan, H. Greenspan, and N. Sochen, “Human embryo under the DIC microscope—vectorial approach to the electromagnetic scattering simulation,” in Proceedings of 8th International Conference on Spectral and High-Order Accurate Methods (ICOSAHOM), Trondheim, Norway (2009).

M. Mishchenko, L. Travis, and A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (NASA Goddard Institute for Space Studies, 2006).

E. Kashdan and E. Turkel, “High order accurate modelling of electromagnetic wave propagation across media: grid conforming bodies,” J. Comput. Phys. 218, 816–835 (2006).

[CrossRef]

E. Kashdan and E. Turkel, “A high order accurate method for the frequency domain Maxwell’s equations across interfaces,” J. Sci. Comput. 27, 75–95 (2006).

[CrossRef]

E. Van-Munster, L. Van-Vliet, and J. Aten, “Reconstruction of optical pathlength distributions from images obtained by a wide-field differential interference contrast microscope,” J. Microsc. 188, 149–157 (1997).

[CrossRef]

E. Van-Munster, L. Van-Vliet, and J. Aten, “Reconstruction of optical pathlength distributions from images obtained by a wide-field differential interference contrast microscope,” J. Microsc. 188, 149–157 (1997).

[CrossRef]

P. Török, S. J. Hewlett, and P. Varga, “The role of specimen-induced spherical aberration in confocal microscopy,” J. Microsc. 188, 158–172 (1997).

[CrossRef]

C. D. Meinhart and S. T. Wereley, “The theory of diffraction-limited resolution in microparticle image velocimetry,” Meas. Sci. Technol. 14, 1047–1053 (2003).

[CrossRef]

S. Trattner, E. Kashdan, M. Feigin, M. Greenspan, C.-F. Westin, and N. Sochen, “DIC microscopic imaging of living cell and error analysis of Born approximation,” in Proceedings of 3rd Workshop on Microscopic Image Analysis with Applications in Biology, in conjunction with MICCAI’08 (2008).

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[CrossRef]

P. Török, S. J. Hewlett, and P. Varga, “The role of specimen-induced spherical aberration in confocal microscopy,” J. Microsc. 188, 158–172 (1997).

[CrossRef]

M. Arnison, K. Larkin, C. Sheppard, N. Smith, and C. Cogswell, “Linear phase imaging using differential interference contrast microscopy,” J. Microsc. 214, 7–12 (2004).

[CrossRef]

E. Van-Munster, L. Van-Vliet, and J. Aten, “Reconstruction of optical pathlength distributions from images obtained by a wide-field differential interference contrast microscope,” J. Microsc. 188, 149–157 (1997).

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H. Sierra, C. A. DiMarzio, and D. H. Brooks, “Modeling phase microscopy of transparent three-dimensional objects: a product-of-convolutions approach,” J. Opt. Soc. Am. A 26, 1268–1276 (2009).

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E. Kashdan and E. Turkel, “A high order accurate method for the frequency domain Maxwell’s equations across interfaces,” J. Sci. Comput. 27, 75–95 (2006).

[CrossRef]

C. D. Meinhart and S. T. Wereley, “The theory of diffraction-limited resolution in microparticle image velocimetry,” Meas. Sci. Technol. 14, 1047–1053 (2003).

[CrossRef]

D. Agard and J. Sedat, “Three-dimensional architecture of a polytene nucleus,” Nature 302, 676–681 (1983).

[CrossRef]

J. Sijbers and A. Postnov, “Reduction of ring artifacts in high resolution micro-CT reconstructions,” Phys. Med. Biol. 49, N247–N253 (2004).

[CrossRef]

H. H. Hopkins and P. M. Barham, “The influence of the condenser on microscopic resolution,” Proc. Phys. Soc. B 63, 737–744 (1950).

H. Sierra, C. A. DiMarzio, and D. H. Brooks, “3D effects in DIC images of extended objects,” Proc. SPIE 7184, 71840D (2009).

W. Lang, “Nomarski differential interference contrast microscopy. I. Fundamentals and experimental designs,” Zeiss Information 70, 114–120 (1968).

W. Lang, “Nomarski differential interference contrast microscopy. II. Formation of the interference image,” Zeiss Information 71, 12–16 (1969).

F. Kagalwala, F. Lanni, and T. Kanade, “Computational model of DIC microscopy: from observations to measurements,” Technical report CMU-R1 TR (Carnegie Mellon University, 2000).

S. Bradbury and P. Evennett, Contrast Techniques in Light Microscopy. Microscopy Handbooks 34 (Bios Scientific, 1996).

M. Pluta, Advanced Light Microscopy, Vol. 2 (Elsevier Science, 1988).

S. Trattner, M. Feigin, H. Greenspan, and N. Sochen, “Can Born approximate the unborn? A new validity criterion for the Born approximation in microscopic imaging,” in Mathematical Methods in Biomedical Image Analysis (MMBIA) Workshop, in conjunction with ICCV’07, Rio de Janeiro, Brazil (2007).

S. Trattner, E. Kashdan, M. Feigin, M. Greenspan, C.-F. Westin, and N. Sochen, “DIC microscopic imaging of living cell and error analysis of Born approximation,” in Proceedings of 3rd Workshop on Microscopic Image Analysis with Applications in Biology, in conjunction with MICCAI’08 (2008).

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J. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

J. J. Stamnes, Waves in Focal Regions (Adam Hilger, 1986).

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A. Taflove and C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2005).

C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

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S. Trattner, M. Feigin, E. Kashdan, and N. Sochen, “GPU accelerated electromagnetic scattering and diffraction in 3D microscopic image formation,” in Proceedings of the 3rd Workshop on GPUs for Computer Vision, Barcelona, Spain (2011).

M. Feigin, “Computational methods in image analysis,” Ph.D. thesis (Tel Aviv University, 2012).

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