Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient.
Fourier ptychographic microscopy (FPM) is a novel computational coherent imaging technique for high space-bandwidth product imaging. Mathematically, Fourier ptychographic (FP) reconstruction can be implemented as a phase retrieval optimization process, in which we only obtain low resolution intensity images corresponding to the sub-bands of the sample's high resolution (HR) spatial spectrum, and aim to retrieve the complex HR spectrum. In real setups, the measurements always suffer from various degenerations such as Gaussian noise, Poisson noise, speckle noise and pupil location error, which would largely degrade the reconstruction. To efficiently address these degenerations, we propose a novel FP reconstruction method under a gradient descent optimization framework in this paper. The technique utilizes Poisson maximum likelihood for better signal modeling, and truncated Wirtinger gradient for effective error removal. Results on both simulated data and real data captured using our laser-illuminated FPM setup show that the proposed method outperforms other state-of-the-art algorithms. Also, we have released our source code for non-commercial use.
Department of Automation, Tsinghua University, Beijing 100084, China.
Liheng
L
Bian
Department of Automation, Tsinghua University, Beijing 100084, China.
Jinli
J
Suo
Department of Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, USA.
Jaebum
J
Chung
Department of Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, USA.
Xiaoze
X
Ou
Department of Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, USA.
Changhuei
C
Yang
Department of Automation, Tsinghua University, Beijing 100084, China.
Feng
F
Chen
Department of Automation, Tsinghua University, Beijing 100084, China.
Qionghai
Q
Dai