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In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilber...
Phase Retrieval via Matrix Completion
Diffraction Fourier transform convex optimization trace-norm minimization
2015/6/17
This paper develops a novel framework for phase retrieval, a problem which arises in X-ray crystallography, diffraction imaging, astronomical imaging and many other applications. Our approach, called ...
Phase Retrieval from Coded Diffraction Patterns
Phase Retrieval Coded Diffraction Patterns
2015/6/17
This paper considers the question of recovering the phase of an object from intensity-only measurements, a problem which naturally appears in X-ray crystallography and related disciplines. We study a ...
Phase Retrieval via Wirtinger Flow:Theory and Algorithms
Phase Retrieval Wirtinger Flow Theory Algorithms
2015/6/17
We study the problem of recovering the phase from magnitude measurements; specifically, we wish to reconstruct a complex-valued signal x ∈ Cn about which we have phaseless samples of the form yr = ∣&#...
Quantitative phase retrieval with a sub-100-nm resolution is achieved from micrographs of a zone plate based transmission x-ray microscope. A plastic zone plate containing objects of sizes from microm...
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order
Phase retrieval Pauli problem Fractional Fourier transform entire function of finite order
2010/12/8
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
Uniqueness transition in noisy phase retrieval
Uniqueness transition noisy phase retrieval
2010/12/16
Previous criteria for the feasibility of reconstructing phase information from intensity measurements, both in x-ray crystallography and more recently in coherent x-ray imaging, have been based on the...