Abstract

In lensfree on-chip microscopy, the iterative phase retrieval with defocused images easily enables a high-resolution and whole field reconstruction. However, on the reconstruction of the dense sample, conventional methods suffer from the stagnation problem and noise affection under two intensity measurements, which gives rise to a remarkable loss of the image contrast and resolution. Here we propose a novel dual-plane phase retrieval algorithm to perform a stable and versatile lensless reconstruction. A weighted feedback constraint was utilized to speed up the convergence. Then, a gradient descent minimization based on total variation metric was proposed to suppress the noise affection. With these two object constraints, a smoothed but resolution-preserving result can be achieved. Numerical simulations of Gaussian and Poisson noise were given to prove the noise-robustness of our method. The experiments of USAF resolution target, H&E stained pathological slide, and label-free microglia cell demonstrated the superior performance of our approach compared to other state-of-the-art methods.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
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References

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2019 (2)

C. Guo, Y. Zhao, J. Tan, S. Liu, and Z. Liu, “Multi-distance phase retrieval with a weighted shrink-wrap constraint,” Opt. Lasers Eng. 113, 1–5 (2019).
[Crossref]

D. Claus and J. M. Rodenburg, “Diffraction-limited superresolution ptychography in the Rayleigh-Sommerfeld regime,” J. Opt. Soc. Am. A 36(2), A12–A19 (2019).
[Crossref]

2018 (4)

P. Li and A. Maiden, “Lensless LED matrix ptychographic microscope: problems and solutions,” Appl. Opt. 57(8), 1800–1806 (2018).
[Crossref]

L. Herve, O. Cioni, P. Blandin, F. Navarro, M. Menneteau, T. Bordy, S. Morales, and C. Allier, “Multispectral total-variation reconstruction applied to lens-free microscopy,” Biomed. Opt. Express 9(11), 5828–5836 (2018).
[Crossref]

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

2017 (2)

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

D. Ryu, Z. Wang, K. He, G. Zheng, R. Horstmeyer, and O. Cossairt, “Subsampled phase retrieval for temporal resolution enhancement in lensless on-chip holographic video,” Biomed. Opt. Express 8(3), 1981–1995 (2017).
[Crossref]

2016 (2)

2015 (3)

W. Luo, A. Greenbaum, Y. Zhang, and A. Ozcan, “Synthetic aperture-based on-chip microscopy,” Light: Sci. Appl. 4(3), e261 (2015).
[Crossref]

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

C. Gaur, B. Mohan, and K. Khare, “Sparsity-assisted solution to the twin image problem in phase retrieval,” J. Opt. Soc. Am. A 32(11), 1922–1927 (2015).
[Crossref]

2014 (3)

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39(2), 193–196 (2014).
[Crossref]

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3(3), e163 (2014).
[Crossref]

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

2012 (2)

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

A. Greenbaum and A. Ozcan, “Maskless imaging of dense samples using pixel super-resolution based multi-height lensfree on-chip microscopy,” Opt. Express 20(3), 3129–3143 (2012).
[Crossref]

2011 (1)

2010 (3)

B. Das and C. S. Yelleswarapu, “Dual plane in-line digital holographic microscopy,” Opt. Lett. 35(20), 3426–3428 (2010).
[Crossref]

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

2009 (2)

2008 (1)

2005 (1)

2004 (2)

Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, “Reconstruction of in-line digital holograms from two intensity measurements,” Opt. Lett. 29(15), 1787–1789 (2004).
[Crossref]

L. J. Allen, W. McBride, N. L. O. Leary, and M. P. Oxley, “Exit wave reconstruction at atomic resolution,” Ultramicroscopy 100(1-2), 91–104 (2004).
[Crossref]

2003 (1)

2001 (1)

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199(1-4), 65–75 (2001).
[Crossref]

1988 (1)

E. Krotkov, “Focusing,” Int. J. Comp. Vis. 1(3), 223–237 (1988).
[Crossref]

1983 (1)

D. H. Brandwood, “A complex gradient operator and its application in adaptive array theory,” IEE Proc., Part H: Microwaves, Opt. Antennas 130(1), 11–16 (1983).
[Crossref]

1972 (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Allen, L. J.

L. J. Allen, W. McBride, N. L. O. Leary, and M. P. Oxley, “Exit wave reconstruction at atomic resolution,” Ultramicroscopy 100(1-2), 91–104 (2004).
[Crossref]

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199(1-4), 65–75 (2001).
[Crossref]

Allier, C.

Astola, J.

Bishara, W.

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Blandin, P.

Bordy, T.

Brady, D. J.

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

Brandwood, D. H.

D. H. Brandwood, “A complex gradient operator and its application in adaptive array theory,” IEE Proc., Part H: Microwaves, Opt. Antennas 130(1), 11–16 (1983).
[Crossref]

Cang, J.

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

Cao, L.

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

Chen, H.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Choi, Y. S.

Chung, P.

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

Cioni, O.

Claus, D.

Coskun, A. F.

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

Cossairt, O.

Das, B.

Eikema, K. S. E.

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3(3), e163 (2014).
[Crossref]

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39(2), 193–196 (2014).
[Crossref]

Feizi, A.

W. Luo, Y. Zhang, A. Feizi, Z. Gorocs, and A. Ozcan, “Pixel super-resolution using wavelength scanning,” Light: Sci. Appl. 5(4), e16060 (2016).
[Crossref]

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

Fienup, J. R.

Fomin, V. A.

I. M. Gelfand and V. A. Fomin, translated and edited by R. A. Silverman, Calculus of Variations (Dover, 2000).

Gaur, C.

Gelfand, I. M.

I. M. Gelfand and V. A. Fomin, translated and edited by R. A. Silverman, Calculus of Variations (Dover, 2000).

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Gorocs, Z.

W. Luo, Y. Zhang, A. Feizi, Z. Gorocs, and A. Ozcan, “Pixel super-resolution using wavelength scanning,” Light: Sci. Appl. 5(4), e16060 (2016).
[Crossref]

Göröcs, Z.

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

Greenbaum, A.

W. Luo, A. Greenbaum, Y. Zhang, and A. Ozcan, “Synthetic aperture-based on-chip microscopy,” Light: Sci. Appl. 4(3), e261 (2015).
[Crossref]

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

A. Greenbaum and A. Ozcan, “Maskless imaging of dense samples using pixel super-resolution based multi-height lensfree on-chip microscopy,” Opt. Express 20(3), 3129–3143 (2012).
[Crossref]

Guizar-Sicairos, M.

Guo, C.

C. Guo, Y. Zhao, J. Tan, S. Liu, and Z. Liu, “Multi-distance phase retrieval with a weighted shrink-wrap constraint,” Opt. Lasers Eng. 113, 1–5 (2019).
[Crossref]

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

He, K.

Herve, L.

Horstmeyer, R.

Isikman, S. O.

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Jin, G.

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

Kan, X.

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Kandukuri, S. R.

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

Katkovnik, V.

Khademhosseini, B.

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Khare, K.

Krotkov, E.

E. Krotkov, “Focusing,” Int. J. Comp. Vis. 1(3), 223–237 (1988).
[Crossref]

Kulkarni, R. P.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Leary, N. L. O.

L. J. Allen, W. McBride, N. L. O. Leary, and M. P. Oxley, “Exit wave reconstruction at atomic resolution,” Ultramicroscopy 100(1-2), 91–104 (2004).
[Crossref]

Lee, S. J.

Li, G.

Li, L.

Li, P.

Li, Q.

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Li, Z.

Liu, S.

C. Guo, Y. Zhao, J. Tan, S. Liu, and Z. Liu, “Multi-distance phase retrieval with a weighted shrink-wrap constraint,” Opt. Lasers Eng. 113, 1–5 (2019).
[Crossref]

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

Liu, Z.

C. Guo, Y. Zhao, J. Tan, S. Liu, and Z. Liu, “Multi-distance phase retrieval with a weighted shrink-wrap constraint,” Opt. Lasers Eng. 113, 1–5 (2019).
[Crossref]

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

Luo, W.

W. Luo, Y. Zhang, A. Feizi, Z. Gorocs, and A. Ozcan, “Pixel super-resolution using wavelength scanning,” Light: Sci. Appl. 5(4), e16060 (2016).
[Crossref]

W. Luo, A. Greenbaum, Y. Zhang, and A. Ozcan, “Synthetic aperture-based on-chip microscopy,” Light: Sci. Appl. 4(3), e261 (2015).
[Crossref]

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

Maiden, A.

McBride, W.

L. J. Allen, W. McBride, N. L. O. Leary, and M. P. Oxley, “Exit wave reconstruction at atomic resolution,” Ultramicroscopy 100(1-2), 91–104 (2004).
[Crossref]

Menneteau, M.

Migukin, A.

Mohan, B.

Morales, S.

Mudanyali, O.

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

Navarro, F.

Noom, D. W. E.

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39(2), 193–196 (2014).
[Crossref]

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3(3), e163 (2014).
[Crossref]

Oh, C.

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Osten, W.

Oxley, M. P.

L. J. Allen, W. McBride, N. L. O. Leary, and M. P. Oxley, “Exit wave reconstruction at atomic resolution,” Ultramicroscopy 100(1-2), 91–104 (2004).
[Crossref]

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199(1-4), 65–75 (2001).
[Crossref]

Ozcan, A.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

W. Luo, Y. Zhang, A. Feizi, Z. Gorocs, and A. Ozcan, “Pixel super-resolution using wavelength scanning,” Light: Sci. Appl. 5(4), e16060 (2016).
[Crossref]

W. Luo, A. Greenbaum, Y. Zhang, and A. Ozcan, “Synthetic aperture-based on-chip microscopy,” Light: Sci. Appl. 4(3), e261 (2015).
[Crossref]

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

A. Greenbaum and A. Ozcan, “Maskless imaging of dense samples using pixel super-resolution based multi-height lensfree on-chip microscopy,” Opt. Express 20(3), 3129–3143 (2012).
[Crossref]

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

Oztoprak, C.

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Pan, L.

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

Pedrini, G.

Qin, Y.

Raupach, S. M. F.

Rivenson, Y.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Rodenburg, J. M.

Ryu, D.

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Sencan, I.

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Seo, S.

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Shen, C.

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Shin, Y.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Su, T.

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

Sung, K.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Tan, J.

C. Guo, Y. Zhao, J. Tan, S. Liu, and Z. Liu, “Multi-distance phase retrieval with a weighted shrink-wrap constraint,” Opt. Lasers Eng. 113, 1–5 (2019).
[Crossref]

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

Teng, D.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Tenner, V. T.

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3(3), e163 (2014).
[Crossref]

Thurman, S. T.

Tiziani, H. J.

Tseng, D.

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

Wang, D.

Wang, H.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Wang, Z.

Witte, S.

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39(2), 193–196 (2014).
[Crossref]

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3(3), e163 (2014).
[Crossref]

Wu, Q.

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

Xue, L.

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

Yagliderea, O.

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

Yang, S.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Yelleswarapu, C. S.

Zhang, H.

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

Zhang, W.

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

Zhang, Y.

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

W. Luo, Y. Zhang, A. Feizi, Z. Gorocs, and A. Ozcan, “Pixel super-resolution using wavelength scanning,” Light: Sci. Appl. 5(4), e16060 (2016).
[Crossref]

W. Luo, A. Greenbaum, Y. Zhang, and A. Ozcan, “Synthetic aperture-based on-chip microscopy,” Light: Sci. Appl. 4(3), e261 (2015).
[Crossref]

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

G. Pedrini, W. Osten, and Y. Zhang, “Wave-front reconstruction from a sequence of interferograms recorded at different planes,” Opt. Lett. 30(8), 833–835 (2005).
[Crossref]

Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, “Reconstruction of in-line digital holograms from two intensity measurements,” Opt. Lett. 29(15), 1787–1789 (2004).
[Crossref]

Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, “Whole optical wave field reconstruction from double or multi in-line holograms by phase retrieval algorithm,” Opt. Express 11(24), 3234–3241 (2003).
[Crossref]

Zhao, Y.

C. Guo, Y. Zhao, J. Tan, S. Liu, and Z. Liu, “Multi-distance phase retrieval with a weighted shrink-wrap constraint,” Opt. Lasers Eng. 113, 1–5 (2019).
[Crossref]

Zheng, G.

Zhou, X.

Appl. Opt. (3)

Biomed. Opt. Express (2)

IEE Proc., Part H: Microwaves, Opt. Antennas (1)

D. H. Brandwood, “A complex gradient operator and its application in adaptive array theory,” IEE Proc., Part H: Microwaves, Opt. Antennas 130(1), 11–16 (1983).
[Crossref]

Int. J. Comp. Vis. (1)

E. Krotkov, “Focusing,” Int. J. Comp. Vis. 1(3), 223–237 (1988).
[Crossref]

J. Opt. (1)

Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, and S. Liu, “Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms,” J. Opt. 17(2), 025701 (2015).
[Crossref]

J. Opt. Soc. Am. A (3)

Lab Chip (2)

D. Tseng, O. Mudanyali, C. Oztoprak, S. O. Isikman, I. Sencan, O. Yagliderea, and A. Ozcan, “Lensfree microscopy on a cellphone,” Lab Chip 10(14), 1787–1792 (2010).
[Crossref]

O. Mudanyali, D. Tseng, C. Oh, S. O. Isikman, I. Sencan, W. Bishara, C. Oztoprak, S. Seo, B. Khademhosseini, and A. Ozcan, “Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications,” Lab Chip 10(11), 1417–1428 (2010).
[Crossref]

Light: Sci. Appl. (3)

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3(3), e163 (2014).
[Crossref]

W. Luo, Y. Zhang, A. Feizi, Z. Gorocs, and A. Ozcan, “Pixel super-resolution using wavelength scanning,” Light: Sci. Appl. 5(4), e16060 (2016).
[Crossref]

W. Luo, A. Greenbaum, Y. Zhang, and A. Ozcan, “Synthetic aperture-based on-chip microscopy,” Light: Sci. Appl. 4(3), e261 (2015).
[Crossref]

Nat. Methods (1)

A. Greenbaum, W. Luo, T. Su, Z. Göröcs, L. Xue, S. O. Isikman, A. F. Coskun, O. Mudanyali, and A. Ozcan, “Imaging without lenses: achievements and remaining challenges of wide-field on-chip microscopy,” Nat. Methods 9(9), 889–895 (2012).
[Crossref]

Opt. Commun. (1)

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199(1-4), 65–75 (2001).
[Crossref]

Opt. Express (3)

Opt. Lasers Eng. (1)

C. Guo, Y. Zhao, J. Tan, S. Liu, and Z. Liu, “Multi-distance phase retrieval with a weighted shrink-wrap constraint,” Opt. Lasers Eng. 113, 1–5 (2019).
[Crossref]

Opt. Lett. (5)

Optik (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Phys. Rev. Lett. (1)

W. Zhang, L. Cao, D. J. Brady, H. Zhang, J. Cang, H. Zhang, and G. Jin, “Twin-image-free holography: a compressive sensing approach,” Phys. Rev. Lett. 121(9), 093902 (2018).
[Crossref]

Sci. Adv. (1)

Y. Zhang, Y. Shin, K. Sung, S. Yang, H. Chen, H. Wang, D. Teng, Y. Rivenson, R. P. Kulkarni, and A. Ozcan, “3D imaging of optically cleared tissue using a simplified CLARITY method and on-chip microscopy,” Sci. Adv. 3(8), e1700553 (2017).
[Crossref]

Sci. Rep. (1)

C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, and Z. Liu, “A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval,” Sci. Rep. 8(1), 6436 (2018).
[Crossref]

Sci. Transl. Med. (1)

A. Greenbaum, Y. Zhang, A. Feizi, P. Chung, W. Luo, S. R. Kandukuri, and A. Ozcan, “Wide-field computational imaging of pathology slides using lensfree on-chip microscopy,” Sci. Transl. Med. 6(267), 267ra175 (2014).
[Crossref]

Ultramicroscopy (1)

L. J. Allen, W. McBride, N. L. O. Leary, and M. P. Oxley, “Exit wave reconstruction at atomic resolution,” Ultramicroscopy 100(1-2), 91–104 (2004).
[Crossref]

Other (1)

I. M. Gelfand and V. A. Fomin, translated and edited by R. A. Silverman, Calculus of Variations (Dover, 2000).

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Figures (11)

Fig. 1.
Fig. 1. The proposed imaging method: (a) the experimental system and (b) a flowchart.
Fig. 2.
Fig. 2. Numerical simulation of intensiy pattern generation and back propagation.
Fig. 3.
Fig. 3. Numerical simulation with the addition of zero-mean Gaussian noise. (a-b) convergence curves with the noise variance of 0.05 and 0.08; (c-g) retrieved images by SBMIR, AL, APR, APRDF, and our method.
Fig. 4.
Fig. 4. Numerical simulation with the addition of Poisson noise. (a) convergence curves with the photon level of 107 photons/pixel; (b-f) retrieved images by SBMIR, AL, APR, APRDF, and our method.
Fig. 5.
Fig. 5. The NCC values comparison of retrieved results at different intervals between two observation planes under the contamination of (a) Gaussian noise and (b) Poisson noise.
Fig. 6.
Fig. 6. The reconstruction of USAF resolution target with two intensity images. (a1-a3), (b1-b3), (c1-c3), (d1-d3) and (e1-e3) are retrieved by SBMIR, AL, APR, APRDF, and our method. The white bar relates to 200µm.
Fig. 7.
Fig. 7. The reconstructed results of APR (N = 11) and our method (N = 2). (a1-a2) retrieved images by APR with 11 intensity images; (b1-b2) retrieved images by our method with two intensity images; (c) plotlines between blue and red arrows.
Fig. 8.
Fig. 8. The reconstructed results of H&E stained pathological slides of rat lung and intestine with two intensity images.
Fig. 9.
Fig. 9. The reconstructed rat intestine images of single-shot algorithm and our method. (a1-a3), (b1-b3) and (c1-c3) are retrieved by the support-based method [7], compressive sensing method [10] and our method.
Fig. 10.
Fig. 10. The full-FOV phase reconstruction of label-free microglia cell by our method. The white bar corresponds to 1mm.
Fig. 11.
Fig. 11. The retrieved phase images of the selected regions for different methods.

Equations (14)

Equations on this page are rendered with MathJax. Learn more.

I n = | A Z n ( O ) | 2 + ε , n [ 1 , N ] ,
C 1 k = I 1 A Z 1 ( O k ) | A Z 1 ( O k ) | ,
C n + 1 k = I n + 1 A Z n + 1 Z n ( C n k ) | A Z n + 1 Z n ( C n k ) | , n [ 1 , N 1 ] ,
O k + 1 = A Z N 1 ( C N k ) .
O k + 1 = 1 N n = 1 N A Z n 1 [ I n A Z n ( O k ) | A Z n ( O k ) | ] .
O ^ = arg min n = 1 N 1 2 σ n 2 I n | A Z n ( O ) | 2 2 2 + μ pen ( O ) ,
TV ( S ) = | S ( x 1 , y 1 ) | d x 1 d y 1 = | x S ( x 1 , y 1 ) | 2 + | y S ( x 1 , y 1 ) | 2 d x 1 d y 1 ,
S ^ = S t ( TV ) ,
S ^ = S t { | x S | 2 + | y S | 2 S [ | x S | 2 + | y S | 2 ( S ) ] } = S t { ( S ) ( S ) S [ ( S ) ( S ) ( S ) ] } = S + t 2 [ S | S | ] .
g n k = A Z n 1 [ I n A Z n ( O k ) | A Z n ( O k ) | ] ,
{ g ¯ n k = g n k + t 2 x { x ( g n k ) | x ( g n k ) | } , g ^ n k = g ¯ n k + t 2 y { y ( g ¯ n k ) | y ( g ¯ n k ) | } ,
{ O k + 1 = O ^ k , k 2 , O k + 1 = ( 1 + a + b ) O ^ k a O k b O k 1 , otherwise,
O k + 1 = sup A Z 1 1 [ I 1 A Z 1 ( O k ) | A Z 1 ( O k ) | ] + M ( 1 sup ) A Z 1 1 ( R 1 ) ,
M = mean { A Z 1 1 [ I 1 A Z 1 ( O k ) | A Z 1 ( O k ) | ] } / mean { A Z 1 1 [ I 1 A Z 1 ( O k ) | A Z 1 ( O k ) | ] } mean [ A Z 1 1 ( R 1 ) ] mean [ A Z 1 1 ( R 1 ) ] ,