C. Zuo, Q. Chen, Y. Yu, and A. Asundi, “Transport-of-intensity phase imaging using Savitzky-Golay differentiation filter-theory and applications,” Opt. Express 21, 5346–5362 (2013).

[PubMed]

A. Kostenko, K. J. Batenburg, A. King, S. E. Offerman, and L. J. van Vliet, “Total variation minimization approach in in-line X-ray phase-contrast tomography,” Opt. Express 21, 12185–12196 (2013).

[Crossref]
[PubMed]

L. Tian, J. C. Petruccelli, Q. Miao, H. Kudrolli, V. Nagarkar, and G. Barbastathis, “Compressive X-ray phase tomography based on the transport of intensity equation,” Opt. Lett. 38, 3418–3421 (2013).

[Crossref]
[PubMed]

Z. Jingshan, J. Dauwels, M. A. Vázquez, and L. Waller, “Sparse ACEKF for phase reconstruction,” Opt. Express 21, 18125–18137 (2013).

[PubMed]

B. Xue, S. Zheng, L. Cui, X. Bai, and F. Zhou, “Transport of intensity phase imaging from multiple intensities measured in unequally-spaced planes,” Opt. Express 19, 20244–20250 (2011).

[Crossref]
[PubMed]

R. W. Schafer, “What is a Savitzky-Golay filter?[lecture notes],” Signal Processing Magazine, IEEE 28, 111–117 (2011).

[Crossref]

L. Waller, M. Tsang, S. Ponda, S. Yang, and G. Barbastathis, “Phase and amplitude imaging from noisy images by Kalman filtering,” Opt. Express 19, 2805–2814 (2011).

[PubMed]

L. Waller, L. Tian, and G. Barbastathis, “Transport of intensity phase-amplitude imaging with higher order intensity derivatives,” Opt. Express 18, 12552–12561 (2010).

[PubMed]

L. Waller, S. S. Kou, C. J. R. Sheppard, and G. Barbastathis, “Phase from chromatic aberrations,” Opt. Express 18, 22817–22825 (2010).

[PubMed]

L. Waller, Y. Luo, S. Y. Yang, and G. Barbastathis, “Transport of intensity phase imaging in a volume holographic microscope,” Opt. Lett. 35, 2961–2963 (2010).

[Crossref]
[PubMed]

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard x rays,” Review of Scientific Instruments 76, 073705 (2005).

[Crossref]

T. Gureyev, A. Pogany, D. Paganin, and S. Wilkins, “Linear algorithms for phase retrieval in the Fresnel region,” Opt. Commun. 231, 53–70 (2004).

D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234, 87–105 (2004).

[Crossref]

K. Nugent, D. Paganin, and T. Gureyev, “A phase odyssey,” Physics Today 54, 27–32 (2001).

[Crossref]

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).

[Crossref]

D. Paganin and K. A. Nugent, “Noninterferometric phase imaging with partially coherent light,” Phys. Rev. Lett. 80, 2586–2589 (1998).

T. Gureyev and K. Nugent, “Rapid quantitative phase imaging using the transport of intensity equation,” Opt. Commun. 133, 339–346 (1997).

N. Streibl, “Phase imaging by the transport equation of intensity,” Opt. Commun. 49, 6–10 (1984).

[Crossref]

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).

[Crossref]

L. Tian, J. C. Petruccelli, Q. Miao, H. Kudrolli, V. Nagarkar, and G. Barbastathis, “Compressive X-ray phase tomography based on the transport of intensity equation,” Opt. Lett. 38, 3418–3421 (2013).

[Crossref]
[PubMed]

L. Tian, J. C. Petruccelli, and G. Barbastathis, “Nonlinear diffusion regularization for transport of intensity phase imaging,” Opt. Lett. 37, 4131–4133 (2012).

[Crossref]
[PubMed]

L. Waller, M. Tsang, S. Ponda, S. Yang, and G. Barbastathis, “Phase and amplitude imaging from noisy images by Kalman filtering,” Opt. Express 19, 2805–2814 (2011).

[PubMed]

L. Waller, S. S. Kou, C. J. R. Sheppard, and G. Barbastathis, “Phase from chromatic aberrations,” Opt. Express 18, 22817–22825 (2010).

[PubMed]

L. Waller, Y. Luo, S. Y. Yang, and G. Barbastathis, “Transport of intensity phase imaging in a volume holographic microscope,” Opt. Lett. 35, 2961–2963 (2010).

[Crossref]
[PubMed]

L. Waller, L. Tian, and G. Barbastathis, “Transport of intensity phase-amplitude imaging with higher order intensity derivatives,” Opt. Express 18, 12552–12561 (2010).

[PubMed]

N. Loomis, L. Waller, and G. Barbastathis, “High-speed phase recovery using chromatic transport of intensity computation in graphics processing units,” in “Biomedical Optics and 3-D Imaging,” (Optical Society of America, 2010), p. JMA7.

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard x rays,” Review of Scientific Instruments 76, 073705 (2005).

[Crossref]

J. Guigay, M. Langer, R. Boistel, and P. Cloetens, “Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region,” Opt. Lett. 32, 1617–1619 (2007).

[Crossref]
[PubMed]

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard x rays,” Review of Scientific Instruments 76, 073705 (2005).

[Crossref]

J. Guigay, M. Langer, R. Boistel, and P. Cloetens, “Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region,” Opt. Lett. 32, 1617–1619 (2007).

[Crossref]
[PubMed]

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard x rays,” Review of Scientific Instruments 76, 073705 (2005).

[Crossref]

T. Gureyev, A. Pogany, D. Paganin, and S. Wilkins, “Linear algorithms for phase retrieval in the Fresnel region,” Opt. Commun. 231, 53–70 (2004).

K. Nugent, D. Paganin, and T. Gureyev, “A phase odyssey,” Physics Today 54, 27–32 (2001).

[Crossref]

T. Gureyev and K. Nugent, “Rapid quantitative phase imaging using the transport of intensity equation,” Opt. Commun. 133, 339–346 (1997).

D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234, 87–105 (2004).

[Crossref]

D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234, 87–105 (2004).

[Crossref]

D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234, 87–105 (2004).

[Crossref]

N. Loomis, L. Waller, and G. Barbastathis, “High-speed phase recovery using chromatic transport of intensity computation in graphics processing units,” in “Biomedical Optics and 3-D Imaging,” (Optical Society of America, 2010), p. JMA7.

K. Nugent, D. Paganin, and T. Gureyev, “A phase odyssey,” Physics Today 54, 27–32 (2001).

[Crossref]

T. Gureyev and K. Nugent, “Rapid quantitative phase imaging using the transport of intensity equation,” Opt. Commun. 133, 339–346 (1997).

D. Paganin and K. A. Nugent, “Noninterferometric phase imaging with partially coherent light,” Phys. Rev. Lett. 80, 2586–2589 (1998).

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).

[Crossref]

T. Gureyev, A. Pogany, D. Paganin, and S. Wilkins, “Linear algorithms for phase retrieval in the Fresnel region,” Opt. Commun. 231, 53–70 (2004).

D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234, 87–105 (2004).

[Crossref]

K. Nugent, D. Paganin, and T. Gureyev, “A phase odyssey,” Physics Today 54, 27–32 (2001).

[Crossref]

D. Paganin and K. A. Nugent, “Noninterferometric phase imaging with partially coherent light,” Phys. Rev. Lett. 80, 2586–2589 (1998).

D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234, 87–105 (2004).

[Crossref]

L. Tian, J. C. Petruccelli, Q. Miao, H. Kudrolli, V. Nagarkar, and G. Barbastathis, “Compressive X-ray phase tomography based on the transport of intensity equation,” Opt. Lett. 38, 3418–3421 (2013).

[Crossref]
[PubMed]

L. Tian, J. C. Petruccelli, and G. Barbastathis, “Nonlinear diffusion regularization for transport of intensity phase imaging,” Opt. Lett. 37, 4131–4133 (2012).

[Crossref]
[PubMed]

T. Gureyev, A. Pogany, D. Paganin, and S. Wilkins, “Linear algorithms for phase retrieval in the Fresnel region,” Opt. Commun. 231, 53–70 (2004).

G. Popescu, Quantitative phase imaging of cells and tissues (McGraw-HillNew York, 2011).

C. E. Rasmussen and C. K. I. Williams, Gaussian Processes for Machine Learning (the MIT Press, 2006)..

R. W. Schafer, “What is a Savitzky-Golay filter?[lecture notes],” Signal Processing Magazine, IEEE 28, 111–117 (2011).

[Crossref]

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard x rays,” Review of Scientific Instruments 76, 073705 (2005).

[Crossref]

P. Sollich and C. K. I. Williams, “Using the equivalent kernel to understand Gaussian process regression,” in Advances in Neural Information Processing Systems 17,” (the MIT Press, 2005), pp. 1313–1320.

N. Streibl, “Phase imaging by the transport equation of intensity,” Opt. Commun. 49, 6–10 (1984).

[Crossref]

L. Tian, J. C. Petruccelli, Q. Miao, H. Kudrolli, V. Nagarkar, and G. Barbastathis, “Compressive X-ray phase tomography based on the transport of intensity equation,” Opt. Lett. 38, 3418–3421 (2013).

[Crossref]
[PubMed]

L. Tian, J. C. Petruccelli, and G. Barbastathis, “Nonlinear diffusion regularization for transport of intensity phase imaging,” Opt. Lett. 37, 4131–4133 (2012).

[Crossref]
[PubMed]

L. Waller, L. Tian, and G. Barbastathis, “Transport of intensity phase-amplitude imaging with higher order intensity derivatives,” Opt. Express 18, 12552–12561 (2010).

[PubMed]

Z. Jingshan, J. Dauwels, M. A. Vázquez, and L. Waller, “Sparse ACEKF for phase reconstruction,” Opt. Express 21, 18125–18137 (2013).

[PubMed]

L. Waller, M. Tsang, S. Ponda, S. Yang, and G. Barbastathis, “Phase and amplitude imaging from noisy images by Kalman filtering,” Opt. Express 19, 2805–2814 (2011).

[PubMed]

L. Waller, L. Tian, and G. Barbastathis, “Transport of intensity phase-amplitude imaging with higher order intensity derivatives,” Opt. Express 18, 12552–12561 (2010).

[PubMed]

L. Waller, S. S. Kou, C. J. R. Sheppard, and G. Barbastathis, “Phase from chromatic aberrations,” Opt. Express 18, 22817–22825 (2010).

[PubMed]

L. Waller, Y. Luo, S. Y. Yang, and G. Barbastathis, “Transport of intensity phase imaging in a volume holographic microscope,” Opt. Lett. 35, 2961–2963 (2010).

[Crossref]
[PubMed]

N. Loomis, L. Waller, and G. Barbastathis, “High-speed phase recovery using chromatic transport of intensity computation in graphics processing units,” in “Biomedical Optics and 3-D Imaging,” (Optical Society of America, 2010), p. JMA7.

T. Gureyev, A. Pogany, D. Paganin, and S. Wilkins, “Linear algorithms for phase retrieval in the Fresnel region,” Opt. Commun. 231, 53–70 (2004).

C. E. Rasmussen and C. K. I. Williams, Gaussian Processes for Machine Learning (the MIT Press, 2006)..

P. Sollich and C. K. I. Williams, “Using the equivalent kernel to understand Gaussian process regression,” in Advances in Neural Information Processing Systems 17,” (the MIT Press, 2005), pp. 1313–1320.

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard x rays,” Review of Scientific Instruments 76, 073705 (2005).

[Crossref]

T. Gureyev and K. Nugent, “Rapid quantitative phase imaging using the transport of intensity equation,” Opt. Commun. 133, 339–346 (1997).

T. Gureyev, A. Pogany, D. Paganin, and S. Wilkins, “Linear algorithms for phase retrieval in the Fresnel region,” Opt. Commun. 231, 53–70 (2004).

N. Streibl, “Phase imaging by the transport equation of intensity,” Opt. Commun. 49, 6–10 (1984).

[Crossref]

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).

[Crossref]

D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, “Phase retrieval using coherent imaging systems with linear transfer functions,” Opt. Commun. 234, 87–105 (2004).

[Crossref]

M. Soto, E. Acosta, and S. Ríos, “Performance analysis of curvature sensors: optimum positioning of the measurement planes,” Opt. Express 11, 2577–2588 (2003).

[PubMed]

Z. Jingshan, J. Dauwels, M. A. Vázquez, and L. Waller, “Sparse ACEKF for phase reconstruction,” Opt. Express 21, 18125–18137 (2013).

[PubMed]

L. Waller, S. S. Kou, C. J. R. Sheppard, and G. Barbastathis, “Phase from chromatic aberrations,” Opt. Express 18, 22817–22825 (2010).

[PubMed]

A. Kostenko, K. J. Batenburg, A. King, S. E. Offerman, and L. J. van Vliet, “Total variation minimization approach in in-line X-ray phase-contrast tomography,” Opt. Express 21, 12185–12196 (2013).

[Crossref]
[PubMed]

C. Zuo, Q. Chen, Y. Yu, and A. Asundi, “Transport-of-intensity phase imaging using Savitzky-Golay differentiation filter-theory and applications,” Opt. Express 21, 5346–5362 (2013).

[PubMed]

L. Waller, M. Tsang, S. Ponda, S. Yang, and G. Barbastathis, “Phase and amplitude imaging from noisy images by Kalman filtering,” Opt. Express 19, 2805–2814 (2011).

[PubMed]

B. Xue, S. Zheng, L. Cui, X. Bai, and F. Zhou, “Transport of intensity phase imaging from multiple intensities measured in unequally-spaced planes,” Opt. Express 19, 20244–20250 (2011).

[Crossref]
[PubMed]

L. Waller, L. Tian, and G. Barbastathis, “Transport of intensity phase-amplitude imaging with higher order intensity derivatives,” Opt. Express 18, 12552–12561 (2010).

[PubMed]

L. Tian, J. C. Petruccelli, Q. Miao, H. Kudrolli, V. Nagarkar, and G. Barbastathis, “Compressive X-ray phase tomography based on the transport of intensity equation,” Opt. Lett. 38, 3418–3421 (2013).

[Crossref]
[PubMed]

S. S. Gorthi and E. Schonbrun, “Phase imaging flow cytometry using a focus-stack collecting microscope,” Opt. Lett. 37, 707–709 (2012).

[PubMed]

L. Tian, J. C. Petruccelli, and G. Barbastathis, “Nonlinear diffusion regularization for transport of intensity phase imaging,” Opt. Lett. 37, 4131–4133 (2012).

[Crossref]
[PubMed]

J. R. Fienup, “Reconstruction of an object from the modulus of its Fourier transform,” Opt. Lett. 3, 27–29 (1978).

[PubMed]

J. Guigay, M. Langer, R. Boistel, and P. Cloetens, “Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region,” Opt. Lett. 32, 1617–1619 (2007).

[Crossref]
[PubMed]

L. Waller, Y. Luo, S. Y. Yang, and G. Barbastathis, “Transport of intensity phase imaging in a volume holographic microscope,” Opt. Lett. 35, 2961–2963 (2010).

[Crossref]
[PubMed]

K. Falaggis, T. Kozacki, and M. Kujawinska, “Optimum plane selection criteria for single beam phase retrieval techniques based on the contrast transfer function,” Opt. Lett. 39, 30–33 (2014).

[Crossref]

D. Paganin and K. A. Nugent, “Noninterferometric phase imaging with partially coherent light,” Phys. Rev. Lett. 80, 2586–2589 (1998).

K. Nugent, D. Paganin, and T. Gureyev, “A phase odyssey,” Physics Today 54, 27–32 (2001).

[Crossref]

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard x rays,” Review of Scientific Instruments 76, 073705 (2005).

[Crossref]

R. W. Schafer, “What is a Savitzky-Golay filter?[lecture notes],” Signal Processing Magazine, IEEE 28, 111–117 (2011).

[Crossref]

G. Popescu, Quantitative phase imaging of cells and tissues (McGraw-HillNew York, 2011).

C. E. Rasmussen and C. K. I. Williams, Gaussian Processes for Machine Learning (the MIT Press, 2006)..

N. Loomis, L. Waller, and G. Barbastathis, “High-speed phase recovery using chromatic transport of intensity computation in graphics processing units,” in “Biomedical Optics and 3-D Imaging,” (Optical Society of America, 2010), p. JMA7.

P. Sollich and C. K. I. Williams, “Using the equivalent kernel to understand Gaussian process regression,” in Advances in Neural Information Processing Systems 17,” (the MIT Press, 2005), pp. 1313–1320.