Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
158 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Coordinate-based Neural Network for Fourier Phase Retrieval (2311.14925v2)

Published 25 Nov 2023 in cs.CV and eess.IV

Abstract: Fourier phase retrieval is essential for high-definition imaging of nanoscale structures across diverse fields, notably coherent diffraction imaging. This study presents the Single impliCit neurAl Network (SCAN), a tool built upon coordinate neural networks meticulously designed for enhanced phase retrieval performance. Remedying the drawbacks of conventional iterative methods which are easiliy trapped into local minimum solutions and sensitive to noise, SCAN adeptly connects object coordinates to their amplitude and phase within a unified network in an unsupervised manner. While many existing methods primarily use Fourier magnitude in their loss function, our approach incorporates both the predicted magnitude and phase, enhancing retrieval accuracy. Comprehensive tests validate SCAN's superiority over traditional and other deep learning models regarding accuracy and noise robustness. We also demonstrate that SCAN excels in the ptychography setting.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (32)
  1. “Partial coherence effects on the imaging of small crystals using coherent x-ray diffraction,” J. Condens. Matter Phys., vol. 13, no. 47, pp. 10593–10611, 2001.
  2. M. Hayes, “The reconstruction of a multidimensional sequence from the phase or magnitude of its fourier transform,” IEEE Trans. Signal Process., vol. 30, no. 2, pp. 140–154, 1982.
  3. “PtychoNet: Fast and high quality phase retrieval for ptychography,” in BMVC, 2019, pp. 222.1–222.13.
  4. “End to end learning for phase retrieval,” in ICML Workshop ML Interpret. Sci. Discov., 2020.
  5. “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik, vol. 35, no. 2, pp. 237–246, 1972.
  6. “Phase retrieval, error reduction algorithm, and Fienup variants: A view from convex optimization,” J. Opt. Soc. Am. A, vol. 19, no. 7, pp. 1334–1345, 2002.
  7. J. R. Fienup, “Phase retrieval algorithms: A comparison,” Appl. Opt., vol. 21, no. 15, pp. 2758–2769, 1982.
  8. “DeepPhaseCut: Deep relaxation in phase for unsupervised Fourier phase retrieval,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 44, no. 12, pp. 9931–9943, 2022.
  9. “Application of optimization technique to noncrystalline x-ray diffraction microscopy: Guided hybrid input-output method,” Phys. Rev. B, vol. 76, no. 6, 2007.
  10. “Real-time coherent diffraction inversion using deep generative networks,” Sci. Rep., vol. 8, no. 1, 2018.
  11. “SiSPRNet: end-to-end learning for single-shot phase retrieval,” Opt. Express, vol. 30, no. 18, pp. 31937–31958, 2022.
  12. “Complex imaging of phase domains by deep neural networks,” IUCrJ, vol. 8, no. 1, pp. 12–21, 2021.
  13. A. Scheinker and R. Pokharel, “Adaptive 3d convolutional neural network-based reconstruction method for 3d coherent diffraction imaging,” J. Appl. Phys., vol. 128, no. 18, 2020.
  14. “AutophaseNN: unsupervised physics-aware deep learning of 3d nanoscale bragg coherent diffraction imaging,” npj Comput. Mater., vol. 8, no. 1, 2022.
  15. “Three-dimensional coherent x-ray diffraction imaging via deep convolutional neural networks,” npj Comput. Mater., vol. 7, no. 1, 2021.
  16. “Practical phase retrieval using double deep image priors,” Electron. Imag., vol. 35, no. 14, pp. 153–1–153–6, 2023.
  17. “prdeep: Robust phase retrieval with a flexible deep network,” in ICML, 2018, pp. 3501–3510.
  18. “Phase retrieval under a generative prior,” in NeurIPS, 2018, pp. 9154–9164.
  19. “NeRF: Representing scenes as neural radiance fields for view synthesis,” in ECCV, 2020, pp. 99–106.
  20. “Implicit neural representations with periodic activation functions,” in NeurIPS, 2020, pp. 7462–7473.
  21. “Wire: Wavelet implicit neural representations,” in CVPR, 2023, pp. 18507–18516.
  22. “Deep local shapes: Learning local sdf priors for detailed 3d reconstruction,” in ECCV, 2020, pp. 608–625.
  23. “Neural unsigned distance fields for implicit function learning,” in NeurIPS, 2020, pp. 21638–21652.
  24. “Coil: Coordinate-based internal learning for tomographic imaging,” IEEE Trans. Comput. Imaging, vol. 7, pp. 1400–1412, 2021.
  25. “Solving inverse problems using self-supervised deep neural nets,” in OSA Imaging and Applied Optics Congress 2021 (3D, COSI, DH, ISA, pcAOP), 2021.
  26. “Fourier ptychographic microscopy image stack reconstruction using implicit neural representations,” Optica, vol. 10, no. 12, pp. 1679–1687, 2023.
  27. “DINER: Disorder-invariant implicit neural representation,” in CVPR, 2023, pp. 6143–6152.
  28. “DNF: diffractive neural field for lensless microscopic imaging.,” Opt. Express, vol. 30, no. 11, pp. 18168–18178, 2022.
  29. “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B., vol. 68, no. 14, 2003.
  30. “Deep image prior,” in CVPR, 2018, pp. 9446–9454.
  31. “Revealing nano-scale lattice distortions in implanted material with 3d bragg ptychography,” Nat. Commun., vol. 12, no. 1, 2021.
  32. A. Maiden and J. M. Rodenburg, “An improved ptychographical phase retrieval algorithm for diffractive imaging,” Ultramicroscopy, vol. 109, no. 10, pp. 1256–1262, 2009.

Summary

We haven't generated a summary for this paper yet.