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Resources for phase recovery

Released from here

Here, we refer to “calculating the phase of a light field from its amplitude/intensity measurements” as phase recovery (PR), which contains many techniques and algorithms, such as holography/interferometry, transport of intensity equation (TIE), phase retrieval (optimization-based approaches), wavefront sensing, and deep-learning-based approaches.

Table of contents:

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You are welcome to join as a contributor, by adding or modifying relevant content via the "fork and pull request".

Please use the following guidelines:

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People and groups

(In alphabetical order according to surnames)
Quick search by "Ctrl + F" with the following keywords:
phase imaging, holography, interferometry, phase retrieval, (Fourier) ptychography, inverse problem, transport of intensity equation, wavefront sensing, adaptive optics, phase unwrapping, fringe analysis, coherent diffractive imaging, optical diffraction tomography, computational imaging, biomedical imaging

Asia

  • Arun Anand (Sardar Patel University)
    Keywords: holography and biomedical imaging etc.
  • Anand Asundi (d'Optron Pte Ltd)
    Keywords: phase imaging, holography, and transport of intensity equation (TIE) etc.
  • Liheng Bian (Beijing Institute of Technology)
    Keywords: phase retrieval etc.
  • Liangcai Cao (Tsinghua University)
    Keywords: holography etc.
  • Wen Chen (The Hong Kong Polytechnic University)
    Keywords: holography and single-pixel imaging etc.
  • Chau-Jern Cheng (National Taiwan Normal University)
    Keywords: holography etc.
  • Wonshik Choi (Korea university)
    Keywords: phase imaging and optical diffraction tomography etc.
  • Zachary J. Smith and Kaiqin Chu (The University of Science and Technology of China)
    Keywords: phase imaging and super-resolution imaging etc.
  • Qionghai Dai (Tsinghua university)
    Keywords: computational imaging and phase imaging etc.
  • Shai Dekel (Tel-Aviv University)
    Keywords: phase retrieval etc.
  • Jianglei Di (GuangDong University of Technology)
    Keywords: holography etc.
  • Peng Gao (Xidian University)
    Keywords: phase imaging and super-resolution imaging etc.
  • Ryoichi Horisaki (The University of Tokyo)
    Keywords: wavefront sensing, holography and computational imaging etc.
  • Wolfgang Heidrich (King Abdullah University of Science and Technology)
    Keywords: wavefront sensing, phase imaging and computational imaging etc.
  • Kedar Khare (Indian Institute of Technology Delhi)
    Keywords: holography, phase imaging, and computational imaging etc.
  • Edmund Y. Lam (The University of Hong Kong)
    Keywords: phase retrieval, holography and computational imaging etc.
  • Byoungho Lee (Seoul National University)
    Keywords: phase retrieval and holography etc.
  • Cheng Liu (Jiangnan University)
    Keywords: phase imaging etc.
  • Ne-Te Duane Loh (National University of Singapore)
    Keywords: phase retrieval and wavefront sensing etc.
  • Daniel P.K. Lun (The Hong Kong Polytechnic University)
    Keywords: phase retrieval and computational imaging etc.
  • Yuan Luo (National Taiwan University)
    Keywords: phase imaging etc.
  • Dalip Singh Mehta (Indian Institute of Technology Delhi)
    Keywords: phase imaging and holograohy etc.
  • Inkyu Moon (Daegu Gyeongbuk Institute of Science and Technology)
    Keywords: holograohy (in cell imaging and analysis) etc.
  • Takanori Nomura (Wakayama University)
    Keywords: holography etc.
  • An Pan (Chinese Academy of Sciences)
    Keywords: Fourier ptychography and phase imaging etc.
  • Jung-Hoon Park (Ulsan National Institute of Science and Technology)
    Keywords: phase imaging and biomedical imaging etc.
  • YongKeun Park (Korea Advanced Institute of Science and Technology)
    Keywords: phase imaging, optical diffraction tomography and biomedical imaging etc.
  • Kemao Qian (Nanyang Technological University)
    Keywords: phase unwrapping and fringe analysis etc.
  • Chenggen Quan (National University of Singapore)
    Keywords: phase retrieval and holography etc.
  • Liyong Ren (Shaanxi Normal University)
    Keywords: phase unwrapping etc.
  • Lu Rong (Beijing University of Technology)
    Keywords: phase retrieval, coherent diffractive imaging, and holography etc.
  • Joseph Rosen (Ben-Gurion University of the Negev)
    Keywords: holography etc.
  • Natan T. Shaked (Tel Aviv University)
    Keywords: interferometry, wavefront sensing, and biomedical imaging etc.
  • Tomoyoshi Shimobaba (Chiba University)
    Keywords: holography and phase retrieval etc.
  • Yoav Shechtman (Israel Institute of Technology)
    Keywords: phase retrieval etc.
  • Guohai Situ (University of Chinese Academy of Sciences)
    Keywords: phase imaging, holography, and computational imaging etc.
  • Yukio Takahashi (Tohoku University)
    Keywords: phase retrieval, holography, and coherent diffractive imaging etc.
  • Xiaodi Tan (Fujian Normal University)
    Keywords: holography etc.
  • Peter Wai Ming Tsang (City University of Hong Kong)
    Keywords: holography etc.
  • Yang Wang (The Hong Kong University of Science and Technology)
    Keywords: phase retrieval etc.
  • Dayong Wang (Beijing University of Technology)
    Keywords: holography etc.
  • Masahiro Yamaguchi (Tokyo Institute of Technology)
    Keywords: holography (display) etc.
  • Baoli Yao (University of Chinese Academy of Sciences)
    Keywords: holography and super-resolution imaging etc.
  • Masayuki Yokota (Shimane University)
    Keywords: holography etc.
  • Yingjie Yu (Shanghai University)
    Keywords: holography and computational imaging etc.
  • Caojin Yuan (Nanjing Normal University)
    Keywords: holography etc.
  • Fucai Zhang (Southern University of Science and Technology)
    Keywords: phase retrieval, wavefront sensing, and holography etc.
  • Shaohui Zhang (Beijing Institute of Technology)
    Keywords: phase retrieval and Fourier ptychography etc.
  • Yaping Zhang (Kunming University of Science and Technology)
    Keywords: holography etc.
  • Jianlin Zhao (Northwestern Polytechnical University)
    Keywords: holography and computational imaging etc.
  • Renjie Zhou (The Chinese University of Hong Kong)
    Keywords: phase imaging, optical diffraction tomography, and biomedical imaging etc.
  • Chao Zuo (Nanjing University of Science and Technology)
    Keywords: transport of intensity equation (TIE), phase imaging, and computational imaging etc.

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Americas

  • George Barbastathis (Massachusetts Institute of Technology)
    Keywords: inverse problem, phase imaging, holography, and computational imaging etc.
  • Stephen Boppart (University of Illinois Urbana-Champaign)
    Keywords: wavefront sensing and biomedical imaging etc.
  • David J Brady (University of Arizona)
    Keywords: (compressive) holography and computational imaging etc.
  • Stanley H. Chan (Purdue University)
    Keywords: wavefront sensing etc.
  • Ni Chen (University of Arizona)
    Keywords: differentiable holography, coherent diffraction imaging, differentiable imaging, and phase imaging etc.
  • Mathew Cherukara (Argonne National Laboratory)
    Keywords: phase retrieval etc.
  • Ana Doblas (University of Memphis)
    Keywords: holography and phase imaging etc.
  • James R. Fienup (University of Rochester)
    Keywords: phase retrieval, coherent diffractive imaging, and wavefront sensing etc.
  • Jason W. Fleischer (Mississippi State University)
    Keywords: phase retrieval etc.
  • Joseph Goodman (Stanford University)
    Keywords: holography etc.
  • Peter de Groot (Zygo Corporation)
    Ketwords: interferometry etc.
  • Paul Hand (Northeastern University)
    Keywords: inverse problem and phase retrieval etc.
  • Babak Hassibi (California Institute of Technology)
    Keywords: phase retrieval etc.
  • Xiaojing Huang (Brookhaven National Laboratory)
    Keywords: coherent diffraction imaging and ptychography etc.
  • Roarke Horstmeyer (Duke University)
    Keywords: Fourier ptychography and single-photon detection etc.
  • Bahram Javidi (University of Connecticut)
    Keywords: holography etc.
  • Rongguang Liang (The University of Arizona)
    Keywords: phase imaging, phase unwrapping and biomedical imaging etc.
  • Christopher Metzler (The University of Maryland)
    Keywords: phase retrieval, inverse problem and computational imaging etc.
  • Jianwei (John) Miao (University of California, Los Angeles)
    Keywords: coherent diffractive imaging and atomic electron tomography etc.
  • David Nolte (Purdue University)
    Keywords: interferometry and holography etc.
  • Aydogan Ozcan (University of California, Los Angeles)
    Keywords: phase imaging, holography, and lensless imaging etc.
  • Ting-Chung Poon (Virginia Polytechnic Institute and State University)
    Keywords: holography etc.
  • Gabriel Popescu (University of Illinois at Urbana-Champaign)
    Keywords: phase imaging, optical diffraction tomography and biomedical imaging etc.
  • Mariano Rivera (Centro de Investigación en Matemáticas AC)
    Keywords: fringe analysis, phase retrieval, and phase unwrapping etc.
  • Ian Robinson (Brookhaven National Laboratory)
    Keywords: phase retrieval and coherent diffractive imaging etc.
  • Austin Roorda (University of California, Berkeley)
    Keywords: wavefront sensing and adaptive optics etc.
  • Sujay Sanghavi (University of Texas, Austin)
    Keywords: phase retrieval etc.
  • Philip Schniter (The Ohio State University)
    Keywords: inverse problem and phase retrieval etc.
  • Mahdi Soltanolkotabi (University of Southern California)
    Keywords: phase retrieval and computational imaging etc.
  • Adrian Stern (Ben-Gurion University of the Negev)
    Keywords: holography etc.
  • Ju Sun (University of Minnesota)
    Keywords: inverse problem and phase retrieval etc.
  • Enrique Tajahuerce (Universitat Jaume I)
    Keywords: holography and computational imaging etc.
  • Michael Teitell (University of California, Los Angeles)
    Keywords: phase imaging and biomedical imaging etc.
  • Lei Tian (Boston University)
    Keywords: Fourier ptychography, transport of intensity equation (TIE), and computational imaging etc.
  • Carlos Alejandro Trujillo (EAFIT University)
    Keywords: holography and phase imaging etc.
  • Ashok Veeraraghavan (Rice University)
    Keywords: wavefront sensing and lensless imaging etc.
  • Kent Wallace (Jet Propulsion Laboratory)
    Keywords: wavefront sensing, interferometry, and holography etc.
  • Laura Waller (University of California, Berkeley)
    Keywords: phase imaging, lensless imaging, and transport of intensity equation (TIE) etc.
  • Congli Wang (University of California, Berkeley)
    Keywords: wavefront sensing, adaptive optics, and digital holography etc.
  • Adam P. Wax (Duke University)
    Keywords: interferometry and biomedical imaging etc.
  • Gordon Wetzstein (Stanford University)
    Keywords: holography (display) and computational imaging etc.
  • Florian Willomitzer (University of Arizona)
    Keywords: synthetic wavelength holography and interferometry etc.
  • Changhuei Yang (California Institute of Technology)
    Keywords: Fourier ptychography, wavefront shaping, and non-line-of-sight imaging etc.
  • Zahid Yaqoob (Massachusetts Institute of Technology)
    Keywords: phase imaging etc.
  • Thomas A. Zangle (University of Utah)
    Keywords: phase imaging and biomedical imaging etc.
  • Guoan Zheng (University of Connecticut)
    Keywords: Fourier ptychography etc.
  • Yunhui Zhu (Virginia Polytechnic Institute and State University)
    Ketwords: transport of intensity equation (TIE) and phase imaging etc.

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Europe

  • Martin Booth (University of Oxford)
    Keywords: wavefront sensing and adaptive optics etc.
  • Artur Carnicer (Universitat de Barcelona)
    Keywords: holography etc.
  • Radim Chmelik (Brno University of Technology)
    Keywords: phase imaging and holography etc.
  • Juergen Czarske (Dresden University of Technology)
    Keywords: holography and phase imaging etc.
  • Loïc Denis (Université Jean Monnet)
    Keywords: holography, phase retrieval, and wavefront sensing etc.
  • Karen Eguiazarian (Tampere University)
    Keywords: phase retrieval and computational imaging etc.
  • Tomas Ekeberg (Uppsala University)
    Keywords: phase retrieval and coherent diffractive imaging etc.
  • Pietro Ferraro (CNR-ISASI)
    Keywords: holography etc.
  • Hans-Werner Fink (University of Zurich)
    Keywords: electron holography etc.
  • Thierry Fusco (ONERA)
    Keywords: wavefront sensing and adaptive optics etc.
  • Guillermo Gallego (Technische Universität Berlin)
    Keywords: 3D surface reconstruction etc.
  • Sylvain Gigan (Sorbonne Université)
    Keywords: phase retrieval, imaging through scattering media, and computational imaging etc.
  • Manuel Guizar-Sicairos (EPFL)
    Keywords: phase retrieval, coherent diffractive imaging, and holography etc.
  • Stefan Harmeling (Technische Universität Dortmund)
    Keywords: phase retrieval etc.
  • Maxime Jacquot (Université Bourgogne Franche-Comté)
    Keywords: holography etc.
  • Vladimir Katkovnik (Tampere University of Technology)
    Keywords: phase retrieval and inverse problem etc.
  • Aykut Koc (Bilkent University)
    Keywords: phase retrieval, inverse problem, and computational imaging etc.
  • Christoph T. Koch (Humboldt University of Berlin)
    Keywords: phase retrieval and inverse problem etc.
  • Malgorzata Kujawinska (Warsaw University of Technology)
    Keywords: holography, phase imaging, and biomedical imaging etc.
  • Tatiana Latychevskaia (University of Zurich)
    Keywords: phase retrieval and holography etc.
  • Filipe Maia (Uppsala University)
    Keywords: phase retrieval and coherent diffractive imaging etc.
  • Andrew Maiden (The University of Sheffield)
    Keywords: coherent diffractive imaging, ptychography, phase imaging in the transmission electron Microscope (TEM), and inverse problems etc.
  • Pierre Marquet (Université Laval)
    Keywords: holography (holographic microscopy) etc.
  • Pasquale Memmolo (CNR-ISASI)
    Keywords: holography etc.
  • Thomas J. Naughton (National University of Ireland, Maynooth)
    Keywords: holography etc.
  • Figen S. Oktem (Middle East Technical University)
    Keywords: phase retrieval, inverse problem, and computational imaging etc.
  • Wolfgang Osten (University of Stuttgart)
    Keywords: interferometry and holography etc.
  • Nikolay V. Petrov (ITMO University)
    Keywords: phase retrieval and holography etc.
  • Demetri Psaltis (EPFL)
    Keywords: holography and optical diffraction tomography etc.
  • Pascal Picart (Le Mans University)
    Keywords: holography and phase imaging etc.
  • Rocco Pierri (University of Campania Luigi Vanvitelli)
    Keywords: phase retrieval and inverse problem etc.
  • Benjamin Rappaz (EPFL)
    Keywords: holography (holographic microscopy) etc.
  • John Rodenburg (The University of Sheffield)
    Keywords: phase retrieval, coherent diffractive imaging, and ptychography etc.
  • Genaro Saavedra (Universitat de Valéncia)
    Keywords: holography, 3D imaging and 3D display etc.
  • Juergen Schnekenburger (Muenster University)
    Keywords: holography etc.
  • Latychevskaia Tatiana (University of Zurich)
    Keywords: holography, phase retrieval, and coherent diffractive imaging etc.
  • Michael Unser (EPFL)
    Keywords: phase retrieval, phase unwrapping, transport of intensity equation (TIE), and biomedical imaging etc.
  • Giovanni Volpe (Giovanni Volpe)
    Keywords: holography in biomedical and particle analysis etc.

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Oceania

  • Andrew Lambert(University of New South Wales)
    Keywords: wavefront sensing and adaptive optics etc.
  • Rainer Leitgeb (Medical University of Vienna)
    Keywords: holography and biomedical imaging etc.
  • David Paganin (Monash University)
    Keywords: phase retrieval, coherent diffractive imaging, and phase imaging etc.
  • Konstantin Pavlov (University of Canterbury)
    Keywords: phase retrieval and coherent diffractive imaging etc.

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Companies

(In alphabetical order)

  • d'Optron
    Keywords: digital holographic microscopy etc.

  • Holmarc Opto-Mechatronics
    Keywords: digital holographic microscopy, digital in-line holographic microscopy etc.

  • Imaging Optic
    Keywords: wavefront sensing etc

  • Lyncee Tec
    Keywords: digital holographic microscopy etc.

  • Nanolive
    Keywords: optical diffraction tomography etc.

  • Phase Holographic Imaging PHI AB
    Keywords: digital holographic microscopy etc.

  • Phase Focus
    Keywords: phase retrieval etc.

  • Phasics
    Keywords: wavefront sensing and quadriwave lateral shearing interferometry (QWLSI) etc.

  • Phi Optics
    Keywords: holographic microscopy and spatial light interference microscopy (SLIM) etc.

  • Telight
    Keywords: holographic microscopy etc.

  • Tomocube
    Keywords: optical diffraction tomography etc.

  • Trioptics
    Keywords: wavefront sensing and interferometry etc.

  • Zygo
    Keywords: interferometer and coherence scanning interferometric (CSI) profiler etc.

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Workshops or courses (video or slides available)

(In chronological order)

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Research papers

(In chronological order)

Conventional phase recovery

(Here, we only mention the classic pioneering papers)

Holography/Interferometry

Transport of intensity equation

Wavefront-sensing-based approaches

(Mainly refers to the approaches of obtaining the phase gradient first and then integrating to calculate the phase)

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Optimization-based approaches

Alternating projection

Axial multi-intensity alternating projection (Multi-height phase retrieval)

Radial multi-intensity alternating projection (Real-space ptychography)

Angular multi-intensity alternating projection (Fourier ptychography)

Non-convex optimization

Convex optimization

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Deep-learning(DL)-based phase recovery

DL-pre-processing for phase recovery

Pixel super-resolution

Noise reduction

Hologram generation

(for phase-shifting)

(to different defocus distances)

(for multi-wavelength holography)

Autofocusing

(by classification)

(by regression)

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DL-in-processing for phase recovery

Dataset-driven (DD) network-only strategy

(Distortion intensity of target objects → Network → Wavefront phase or its Zernike coefficient)
(Applications in Adaptive Optics)

Physics-driven (PD) network-only strategy

(with untrained/initialized networks)

(with trained networks)

Physics-connect-network (PcN) strategy

Network-in-physics (NiP) strategy

(trained networks as denoiser regularization)

(untrained networks as structural-prior regularization)

(trained networks as generative-prior regularization)

Physics-in-network (PiN) strategy

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DL-post-processing for phase recovery

Noise reduction

Resolution enhancement

Aberration correction

Phase unwrapping

(Deep-learning-performed regression method, dRG)

(Deep-learning-performed wrap count method, dWC)

(Deep-learning-assisted method, dAS)

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Deep learning for phase processing

Segmentation

Classification

(via conventional machine learning)

(via deep learning with only phase as input)

(via deep learning with phase and amplitude as input)

(via deep learning with multi-wavelength phase as input)

(via deep learning with multi-temporal-dimension phase as input)

(via deep learning with 3D refractive index as input)

(via deep learning with amplitude or hologram as input)

Imaging modal transformation

(Phase to bright-field or stained bright-field images)

(Phase to fluorescence images)

(3D refractive index to fluorescence images)

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Review/Tutorial papers

(In chronological order)

Conventional phase recovery

Deep-learning-based phase recovery

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Books

(In chronological order)

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Dissertations and Thesis

(In chronological order)

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About

Resources for phase recovery (also called phase imaging, phase retrieval, or phase reconstruction)

doi.org/10.1038/s41377-023-01340-x

Topics

deep-learning computational-imaging phase-retrieval wavefront-sensing holography interferometry ptychography phase-reconstruction phase-imaging phase-recovery

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