| Literature DB >> 33768741 |
Yongbing Zhang1,2, Yangzhe Liu1, Shaowei Jiang3, Krishna Dixit3, Pengming Song3, Xinfeng Zhang4, Xiangyang Ji5, Xiu Li6.
Abstract
SIGNIFICANCE: Fourier ptychography (FP) is a computational imaging approach that achieves high-resolution reconstruction. Inspired by neural networks, many deep-learning-based methods are proposed to solve FP problems. However, the performance of FP still suffers from optical aberration, which needs to be considered. AIM: We present a neural network model for FP reconstructions that can make proper estimation toward aberration and achieve artifact-free reconstruction. APPROACH: Inspired by the iterative reconstruction of FP, we design a neural network model that mimics the forward imaging process of FP via TensorFlow. The sample and aberration are considered as learnable weights and optimized through back-propagation. Especially, we employ the Zernike terms instead of aberration to decrease the optimization freedom of pupil recovery and perform a high-accuracy estimation. Owing to the auto-differentiation capabilities of the neural network, we additionally utilize total variation regularization to improve the visual quality.Entities:
Keywords: Fourier ptychographic microscopy; neural network; optics; pupil recovery
Year: 2021 PMID: 33768741 PMCID: PMC8330837 DOI: 10.1117/1.JBO.26.3.036502
Source DB: PubMed Journal: J Biomed Opt ISSN: 1083-3668 Impact factor: 3.170
Fig. 1Fundamental principles of FP: (a) the schematic diagram of the FP experimental setup and the physical comparison and (b) the iterative decomposition procedure with pupil recovery.
Fig. 2Illustration of the INNM framework: (a) schematics of pipeline procedure with the AU mechanism; (b) schematics of a training epoch; and (c) the basic framework of INNM with embedded pupil recovery.
Fig. 3Comparison of recovered results and some decomposed Zernike amplitudes. (a)–(f) Recovered results of the sample and pupil function under different methods (the amplitude are normalized into 0 to 1). (g) Decline curve of the INNM. (h) A scatter plot of some decomposed Zernike polynomial coefficients (piston coefficient is not present).
Fig. 4Reconstruction of two datasets in a low-aberration condition. (a) Recovered amplitudes at 632, 532, and 470 nm wavelengths from INNM. (b), (c) The combined color intensity and phase images of a tissue section stained by immunohistochemistry methodology from INNM and ePIE. (d)–(f) Recovered results of blood cells.
Fig. 5Recovered amplitude images of a tissue slide in condition of severe aberration: (a) high-resolution ground truth; (b)–(d) recovered amplitudes from INNM under different conditions; (e) recovered amplitude from ePIE; and (f), (g) aberrations restored from INNM with and without TV.
Fig. 6Recovered phase images in condition of severe aberration: (a) ground truth; (b)–(e) recovered phases from INNM, ePIE, Jiang’s method, and AS; and (f), (g) aberrations restored from INNM without Zernike mode and ePIE.