Fast Reconstruction Method for Diffraction Imaging

  • Eliyahu Osherovich
  • Michael Zibulevsky
  • Irad Yavneh
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5876)

Abstract

We present a fast image reconstruction method for two- and three-dimensional diffraction imaging. Provided that very little information about the phase is available, the method demonstrates convergence rates that are several orders of magnitude faster than current reconstruction techniques. Unlike current methods, our approach is based on convex optimization. Besides fast convergence, our method allows great deal of flexibility in choosing most appropriate objective function as well as introducing additional information about the sought signal, e.g., smoothness. Benefits of good choice of the objective function are demonstrated by reconstructing an image from noisy data.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Eliyahu Osherovich
    • 1
  • Michael Zibulevsky
    • 1
  • Irad Yavneh
    • 1
  1. 1.Computer Science DepartmentTechnion — Israel Institute of Technology 

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