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]

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. Barber and S. Hill, Light Scattering by Particles: Computational Methods (World Scientific, 1990).

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

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

M. Born and E. Wolf, Principles of Optics, 4th ed. (Cambridge University, 1999).

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

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).

[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]

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

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).

[CrossRef]

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

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).

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

W. Gautschi, Orthogonal Polynomials: Computation and Approximation (Oxford University, 2004).

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

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, 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).

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

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]

P. Barber and S. Hill, Light Scattering by Particles: Computational Methods (World Scientific, 1990).

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

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

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).

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1988).

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).

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]

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).

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

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).

J. Padawer, “The Nomarski interference-contrast microscope. An experimental basis for the image interpretation,” J. R. Microsc. Soc. 88, 305–349 (1967).

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]

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1988).

M. Slaney, “Imaging with diffraction tomography,” Ph.D. thesis (Purdue University, 1985).

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]

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, 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).

S. Inoué and K. Spring, Video Microscopy: The Fundamentals, 2nd ed. (Plenum, 1997).

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

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

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).

M. Born and E. Wolf, Principles of Optics, 4th ed. (Cambridge University, 1999).

M. Shribak and S. Inoué, “Orientation-independent differential interference contrast microscopy,” Appl. Opt. 45, 460–469 (2006).

[CrossRef]

S. Schaub, D. Alexander, and J. Barton, “Theoretical model of the laser imaging of small aerosols: applications to aerosol sizing,” Appl. Opt. 30, 4777–4784 (1991).

[CrossRef]

N. Axelrod, A. Radko, A. Lewis, and N. Ben-Yosef, “Topographic profiling and refractive-index analysis by use of differential interference contrast with bright-field intensity and atomic force imaging,” Appl. Opt. 43, 2272–2284 (2004).

[CrossRef]

W. Wiscombe, “Improved Mie scattering algorithms,” Appl. Opt. 19, 1505–1509 (1980).

[CrossRef]

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]

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).

[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]

B. Ovryn and S. Izen, “Imaging of transparent spheres through a planar interface using a high-numerical-aperture optical microscope,” J. Opt. Soc. Am. A 17, 1202–1213 (2000).

[CrossRef]

C. Preza, D. Snyder, and J. Conchello, “Theoretical development and experimental evaluation of imaging models for differential-interference-contrast microscopy,” J. Opt. Soc. Am. A 16, 2185–2199 (1999).

[CrossRef]

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]

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]

J. Padawer, “The Nomarski interference-contrast microscope. An experimental basis for the image interpretation,” J. R. Microsc. Soc. 88, 305–349 (1967).

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. 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).

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, 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).

W. Gautschi, Orthogonal Polynomials: Computation and Approximation (Oxford University, 2004).

S. Inoué and K. Spring, Video Microscopy: The Fundamentals, 2nd ed. (Plenum, 1997).

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

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

M. Born and E. Wolf, Principles of Optics, 4th ed. (Cambridge University, 1999).

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

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

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

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).

M. Slaney, “Imaging with diffraction tomography,” Ph.D. thesis (Purdue University, 1985).

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).

MicroscopyU, http://www.microscopyu.com/ .

P. Barber and S. Hill, Light Scattering by Particles: Computational Methods (World Scientific, 1990).

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

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

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

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

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1988).

O. M. Primer, http://micro.magnet.fsu.edu/primer/ .

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).