Exploring robust phase retrieval from noisy intensity interferometer measurements using a modern non-linear de-noising technique

POSTER

Abstract

Various imaging techniques provide measurements proportional to Fourier magnitudes of an object, from which one attempts to form an image. One such technique is intensity interferometry, which measures the squared Fourier modulus. Intensity interferometry is a synthetic aperture approach known to obtain high spatial resolution information, and is effectively insensitive to degradations from atmospheric turbulence. These benefits are offset by an intrinsically low signal-to-noise (SNR) ratio. The fields of image processing and computer vision have produced advanced de-noising methods in recent years, such as BM3D and the bilateral filter. Here we explore the de-noising algorithm of Kovesi, as it was intentionally designed to be phase-preserving -- the quantity we aim to recover. Phase retrieval (PR) is designed to reconstruct an image from Fourier-plane magnitudes and object-plane constraints. In particular, we augment the relaxed averaged alternating reflections (RAAR) PR algorithm with the Kovesi de-noising method. We present simulated image reconstructions from the squared Fourier magnitude in the presence of significant noise --with and without the use of Kovesi de-noising as either a single pre-processing step, or an additional step within the RAAR iteration. Author info: C1C Elliot Myers (presenter), First Class Cadet at USAFA; Dr. Peter Crabtree -- research advisor at AFRL/RVBYC

Authors

  • Elliot Myers

    United States Air Force Academy

  • John Colton

    Brigham Young University Dept. of Physics and Astronomy, Brigham Young University, None, The College of William and Mary/Jefferson Lab, Brigham Young University-Idaho, Blue Ridge Research and Consulting LLC, Air Force Research Laboratory - Wright Patterson Air Force Base, Brigham Young Univ - Provo, Blue Ridge Research and Consulting, University of Utah, SRI International, Utah State University, Utah Valley University, Los Alamos National Laboratory, Professor, Graduate, United States Air Force Academy, Arizona State Univ, SiO2 NanoTech, Entrepix Inc, AFRL, Advisor, Brigham Young University- Provo, University of New Mexico, Univ of Utah, University of Wisconsin -- Madison, New Mexico Tech Physics Dept., Retired, Department of Physics and Astronomy, University of Utah, Department of Physics \& Astronomy, University of Hawai'i, JILA and University of Colorado, Boulder, National Institute of Standards and Technology, Boulder, University of Colorado, Boulder, Lawrence Berkeley National Laboratory, National Institute of Standards and Technology, Space Dynamics Lab, New Mexico Tech, BYU Professor, Brigham Young University -- Provo, Northern Arizona University, University of Colorado Boulder, Colorado State University, University of Utah, Department of Physics, New Mexico State University