Fast gradational reconstruction for Fourier ptychographic microscopy

Jizhou Zhang; Tingfa Xu; Xing Wang; Sining Chen; Guoqiang Ni

doi:10.3788/COL201715.111702

Journals >Chinese Optics Letters >Volume 15 >Issue 11 >Page 111702 > Article

Chinese Optics Letters
Vol. 15, Issue 11, 111702 (2017)

Fast gradational reconstruction for Fourier ptychographic microscopy

Jizhou Zhang^1、2, Tingfa Xu^1、2、*, Xing Wang^1、2, Sining Chen^1、2, and Guoqiang Ni^1、2

Author Affiliations

¹School of Optoelectronics, Image Engineering and Video Technology Lab, Beijing Institute of Technology, Beijing 100081, China

²Key Laboratory of Photoelectronic Imaging Technology and System, Ministry of Education of China, Beijing 100081, China

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DOI: 10.3788/COL201715.111702 Cite this Article Set citation alerts

Jizhou Zhang, Tingfa Xu, Xing Wang, Sining Chen, Guoqiang Ni. Fast gradational reconstruction for Fourier ptychographic microscopy[J]. Chinese Optics Letters, 2017, 15(11): 111702 Copy Citation Text

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Abstract

We develop an improved global reconstruction method for Fourier ptychographic microscopy, a newly reported technique for wide-field and high-resolution microscopic observation. The gradational strategy and graphic processing unit computing are applied to accelerate the conventional global reconstruction method. Both simulations and experiments are carried out to evaluate the performance of our method, and the results show that this method offers a much faster convergence speed and maintains a good reconstruction quality.

g_{l e} (r) = F^{- 1} {P (u) O (u - u_{l})},

(1)

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O^{u} (u - u_{l}) = P (u) F {\frac{\sqrt{I_{l c} (r)}}{| g_{l e} (r) |} g_{l e} (r)},

(2)

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g_{l e} = F^{- 1} (P O_{l}),

(3)

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O^{u} = \sum_{l} P F (\frac{\sqrt{I_{l c}}}{| g_{l e} |} g_{l e}) .

(4)

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{\begin{array}{c} g_{l 1} = F^{- 1} (P O_{l 0}), & O_{1} = W_{1} \sum_{l} P F (\frac{\sqrt{I_{l 1}}}{| g_{l 1} |} g_{l 1}) \\ g_{l 2} = F^{- 1} (P O_{l 1}), & O_{2} = W_{2} \sum_{l} P F (\frac{\sqrt{I_{l 2}}}{| g_{l 2} |} g_{l 2}) \\ ⋮ & ⋮ \\ g_{l j} = F^{- 1} (P O_{l (j - 1)}), & O_{j} = W_{j} \sum_{l} P F (\frac{\sqrt{I_{l j}}}{| g_{l j} |} g_{l j}) \end{array},

(5)

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Jizhou Zhang, Tingfa Xu, Xing Wang, Sining Chen, Guoqiang Ni. Fast gradational reconstruction for Fourier ptychographic microscopy[J]. Chinese Optics Letters, 2017, 15(11): 111702

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