Low-Photon Counts Coherent Modulation Imaging via Generalized Alternating Projection Algorithm
Source abstract
Abstract
Phase contrast imaging is advantageous for mitigating radiation damage to samples, such as biological specimens. For imaging at nanometer or atomic resolution, the required flux on samples increases dramatically and can easily exceed the sample damage threshold. Coherent modulation imaging (CMI) can provide quantitative absorption and phase images of samples at diffraction-limited resolution with fast convergence. When used for radiation-sensitive samples, CMI experiments need to be conducted under low illumination flux for high resolution. Here, an algorithmic framework is proposed for CMI involving generalized alternating projection and total variation constraint. A five-to-ten-fold lower photon requirement can be achieved for near-field or far-field experiment dataset. The work would make CMI more applicable to the dynamics study of radiation-sensitive samples.
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Research context
OpenAlex topics: Advanced X-ray Imaging Techniques · Advanced Electron Microscopy Techniques and Applications · Integrated Circuits and Semiconductor Failure Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Hebei Key Laboratory of Power Internet of Things Technology and the Department of Electronics and Communication Engineering, North China Electric Power University, Baoding 071003, China
Shenzhen Key Laboratory of Robotics Perception and Intelligence and the Department of Electrical and Electronic Engineering, Southern University of Science and Technology, 1088 Xueyuan Avenue, Shenzhen 518055, China
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, USA
Singapore-MIT Alliance for Research and Technology (SMART) Centre, 1 Create Way, Singapore 117543, Singapore
Singapore-MIT Alliance for Research and Technology (SMART) Centre, 1 Create Way, Washington, DC 20036, USA
Funding
Natural National Science Foundation of China (NSFC) · Shenzhen Key Laboratory of Robotics Perception and Intelligence · Southern University of Science and Technology; Shenzhen Science and Technology Program · Centers for Mechanical Engineering Research and Education at MIT and SUSTech (MechERE Centers at MIT and SUSTech) · S&T Program of Hebei
References (54)
Show source-provided references
1. Coherent Lensless X-ray Imaging10.1038/nphoton.2010.240 ↗
2. Beyond Crystallography: Diffractive Imaging Using Coherent X-ray Light Sources10.1126/science.aaa1394 ↗
3. Phase Retrieval Algorithms: A Comparison10.1364/AO.21.002758 ↗
4. Fresnel Coherent Diffractive Imaging10.1103/PhysRevLett.97.025506 ↗
5. Reconstruction of the Shapes of Gold Nanocrystals Using Coherent X-ray Diffraction10.1103/PhysRevLett.87.195505 ↗
6. Three-Dimensional Coherent X-ray Diffraction Imaging of a Ceramic Nanofoam: Determination of Structural Deformation Mechanisms10.1103/PhysRevLett.101.055501 ↗
7. Molecular Imaging Using X-ray Free-Electron Lasers10.1146/annurev-physchem-032511-143708 ↗
8. Beyond the Conventional Information Limit: The Relevant Coherence Function10.1016/0304-3991(94)90092-2 ↗
9. Reconstruction of an Object from the Modulus of Its Fourier Transform10.1364/OL.3.000027 ↗
10. Phase Retrieval by Iterated Projections10.1364/JOSAA.20.000040 ↗
11. Invited Article: A Unified Evaluation of Iterative Projection Algorithms for Phase Retrieval10.1063/1.2403783 ↗
12. High-Resolution Ab Initio Three-Dimensional x-ray Diffraction Microscopy10.1364/JOSAA.23.001179 ↗
13. Oversampling Smoothness: An Effective Algorithm for Phase Retrieval of Noisy Diffraction Intensities10.1107/S0021889813002471 ↗
14. Movable Aperture Lensless Transmission Microscopy: A Novel Phase Retrieval Algorithm10.1103/PhysRevLett.93.023903 ↗
15. An Improved Ptychographical Phase Retrieval Algorithm for Diffractive Imaging10.1016/j.ultramic.2009.05.012 ↗
16. High-Resolution Scanning X-ray Diffraction Microscopy10.1126/science.1158573 ↗
17. X-Ray Ptychography10.1038/s41566-017-0072-5 ↗
18. Ptychographic X-ray Computed Tomography at the Nanoscale10.1038/nature09419 ↗
19. Quantitative Biological Imaging by Ptychographic X-Ray Diffraction Microscopy10.1073/pnas.0905846107 ↗
20. Wide-Field, High-Resolution Fourier Ptychographic Microscopy10.1038/nphoton.2013.187 ↗
21. High-Resolution Three-Dimensional Structural Microscopy by Single-Angle Bragg Ptychography10.1038/nmat4798 ↗
22. High-Resolution Non-Destructive Three-Dimensional Imaging of Integrated Circuits10.1038/nature21698 ↗
23. Three-Dimensional Imaging of Integrated Circuits with Macro- to Nanoscale Zoom10.1038/s41928-019-0309-z ↗
24. Electron Ptychography of 2D Materials to Deep Sub-Ångström Resolution10.1038/s41586-018-0298-5 ↗
25. Electron Ptychographic Diffractive Imaging of Boron Atoms in LaB6 Crystals10.1038/s41598-017-02778-x ↗
26. Electron Ptychographic Phase Imaging of Light Elements in Crystalline Materials Using Wigner Distribution Deconvolution10.1016/j.ultramic.2017.02.006 ↗
27. Simultaneous Atomic-Resolution Electron Ptychography and Z-Contrast Imaging of Light and Heavy Elements in Complex Nanostructures10.1038/ncomms12532 ↗
28. Maximum-Likelihood Refinement for Coherent Diffractive Imaging10.1088/1367-2630/14/6/063004 ↗
29. Noise Models for Low Counting Rate Coherent Diffraction Imaging10.1364/OE.20.025914 ↗
30. Low-Dose Phase Retrieval of Biological Specimens Using Cryo-Electron Ptychography10.1038/s41467-020-16391-6 ↗
31. Optical Sectioning Deep inside Live Embryos by Selective Plane Illumination Microscopy
32. The Potential and Limitations of Neutrons, Electrons and X-rays for Atomic Resolution Microscopy of Unstained Biological Molecules10.1017/S003358350000305X ↗
33. Assessing Phototoxicity in Live Fluorescence Imaging10.1038/nmeth.4344 ↗
34. Atomic Resolution Defocused Electron Ptychography at Low Dose with a Fast, Direct Electron Detector10.1038/s41598-019-40413-z ↗
35. Mixed-State Electron Ptychography Enables Sub-Angstrom Resolution Imaging with Picometer Precision at Low Dose10.1038/s41467-020-16688-6 ↗
36. Low-Dose Aberration-Free Imaging of Li-Rich Cathode Materials at Various States of Charge Using Electron Ptychography10.1021/acs.nanolett.8b02718 ↗
37. Towards Three-Dimensional? Electron Microscopy? At Atomic Resolution10.1007/BF00595655 ↗
38. Phase Retrieval Based on Wave-Front Relay and Modulation10.1103/PhysRevB.82.121104 ↗
39. Phase Retrieval by Coherent Modulation Imaging10.1038/ncomms13367 ↗
40. Low Photon Count Phase Retrieval Using Deep Learning10.1103/PhysRevLett.121.243902 ↗
41. Phase Extraction Neural Network (PhENN) with Coherent Modulation Imaging (CMI) for Phase Retrieval at Low Photon Counts10.1364/OE.397430 ↗
42. Phase Imaging with an Untrained Neural Network10.1038/s41377-020-0302-3 ↗
43. Saving Phase: Injectivity and Stability for Phase Retrieval10.1016/j.acha.2013.10.002 ↗
44. Learning Representations by Back-Propagating Errors10.1038/323533a0 ↗
45. Fast Multiclass Dictionaries Learning With Geometrical Directions in MRI Reconstruction10.1109/TBME.2015.2503756 ↗
46. Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems10.1109/JSTSP.2007.910281 ↗
47. Fast Approximations to Structured Sparse Coding and Applications to Object Classification10.1007/978-3-642-33715-4_15 ↗
48. A Practical Algorithm for the Determination of Phase from Image and Diffraction Plane Pictures
49. Chan, S.H., Wang, X., and Elgendy, O.A. (2016). Plug-and-Play ADMM for Image Restoration: Fixed Point Convergence and Applications. arXiv.10.1109/TCI.2016.2629286 ↗
50. A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration10.1109/TIP.2007.909319 ↗
51. Yuan, X., Liu, Y., Suo, J., and Dai, Q. (2020, January 13–19). Plug-and-Play Algorithms for Large-Scale Snapshot Compressive Imaging. Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), Seattle, WA, USA.10.1109/CVPR42600.2020.00152 ↗
52. Large-Scale Phase Retrieval10.1186/s43593-021-00004-w ↗
53. Gao, Y., and Cao, L. (2021). A Complex Constrained Total Variation Image Denoising Algorithm with Application to Phase Retrieval. arXiv.
54. Invariant Error Metrics for Image Reconstruction10.1364/AO.36.008352 ↗