2 research outputs found
Phase retrieval combined with digital holography
We present a new method for real- and complex-valued image reconstruction
from two intensity measurements made in the Fourier plane: the Fourier
magnitude of the unknown image, and the intensity of the interference pattern
arising from superimposition of the original signal with a reference beam. This
approach can provide significant advantages in digital holography since it
poses less stringent requirements on the reference beam. In particular, it does
not require spatial separation between the sought signal and the reference
beam. Moreover, the reference beam need not be known precisely, and in fact,
may contain severe errors, without leading to a deterioration in the
reconstruction quality. Numerical simulations are presented to demonstrate the
speed and quality of reconstruction
Fast Reconstruction Method for Diffraction Imaging
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.