On the Stability of Fourier Phase Retrieval
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DOI: 10.1007/s00041-022-09927-5
Abstract: Phase retrieval is concerned with recovering a function f from the absolute value of its Fourier transform $$|{\widehat{f}}|$$ | f ^ | . We study the stability properties of this problem in Lebesgue spaces. Our… read more here.
Keywords: phase retrieval; stability; vert mathbb; stability fourier ... See more keywords
On Foundational Discretization Barriers in STFT Phase Retrieval
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DOI: 10.1007/s00041-022-09935-5
Abstract: We prove that there exists no window function $$g \in {L^2(\mathbb {R})}$$ g ∈ L 2 ( R ) and no lattice $${\mathcal {L}} \subset \mathbb {R}^2$$ L ⊂ R 2 such that every $$f… read more here.
Keywords: stft phase; discretization; mathbb; phase retrieval ... See more keywords
Phase retrieval for continuous Gabor frames on locally compact abelian groups
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DOI: 10.1007/s43037-020-00118-2
Abstract: In this paper, we study continuous frames from projective representations of locally compact abelian groups of type $$\widehat{G}\times G$$ . In particular, using the Fourier transform on locally compact abelian groups, we obtain a characterization… read more here.
Keywords: retrieval continuous; continuous gabor; abelian groups; compact abelian ... See more keywords
Single-shot phase retrieval based on axial phase diversity
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DOI: 10.1016/j.ijleo.2018.06.121
Abstract: Abstract A single-shot phase-retrieval algorithm based on axial phase diversity using a distorted phase grating is proposed. In this proposed scheme, an image array corresponding to different defocus distances of the object is formed on… read more here.
Keywords: single shot; phase; shot phase; phase retrieval ... See more keywords
Phase-retrieval attack free cryptosystem based on cylindrical asymmetric diffraction and double-random phase encoding
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DOI: 10.1016/j.optcom.2017.10.061
Abstract: Abstract A phase-retrieval attack free cryptosystem based on the cylindrical asymmetric diffraction and double-random phase encoding (DRPE) is proposed. The plaintext is abstract as a cylinder, while the observed diffraction and holographic surfaces are concentric… read more here.
Keywords: phase; diffraction; retrieval attack; phase retrieval ... See more keywords
A review of iterative phase retrieval for measurement and encryption
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DOI: 10.1016/j.optlaseng.2016.03.021
Abstract: Abstract Phase retrieval technique is regarded as one of the most significant tools to solve optical inverse problems. Several phase retrieval algorithms are discussed in this review. The occurrence of ill-posed conditions often makes the… read more here.
Keywords: phase; iterative phase; retrieval; review ... See more keywords
Multi-distance phase retrieval with a weighted shrink-wrap constraint
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DOI: 10.1016/j.optlaseng.2018.09.017
Abstract: Abstract Multi-distance phase retrieval enables a full wavefront recovery with a set of defocused intensity patterns. However, the convergence speed of multi-distance phase retrieval is restricted by a stagnant issue, which leads to a low… read more here.
Keywords: phase retrieval; distance phase; multi distance;
An improved phase-coding method for absolute phase retrieval based on the path-following algorithm
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DOI: 10.1016/j.optlaseng.2019.05.024
Abstract: Abstract Although the traditional phase-coding method for absolute phase retrieval possesses strong robustness, the method leads to unwrapping artifacts as a mass of codewords required. To solve this problem, a novel improved method is proposed… read more here.
Keywords: phase coding; phase retrieval; coding method; phase ... See more keywords
Lens-based phase retrieval under spatially partially coherent illumination - Part II: Shape measurements
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DOI: 10.1016/j.optlaseng.2020.106407
Abstract: Abstract We experimentally demonstrate the shape measurement of micro objects by means of phase retrieval under spatially partially coherent illumination. This approach offers an extended depth of focus, vibration insensitivity, short measurement time and precise… read more here.
Keywords: shape; retrieval; spatially partially; retrieval spatially ... See more keywords
Super-resolution, multi-plane phase retrieval via amplitude flow variants
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DOI: 10.1016/j.optlaseng.2021.106715
Abstract: Abstract In the Fresnel regime, super-resolution multi-plane phase retrieval (MPPR) often requires upsampling the captured diffraction patterns via experimental or computational means to satisfy the sampling conditions imposed by the traditional angular spectrum method which… read more here.
Keywords: plane; resolution; phase retrieval; super resolution ... See more keywords
Robust phase retrieval with green noise binary masks
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DOI: 10.1016/j.optlaseng.2021.106808
Abstract: Phase retrieval with pre-defined optical masks can provide extra constraint and thus achieve improved performance. The recent progress in optimization theory demonstrates the superiority of random masks in phase retrieval algorithms. However, traditional approaches just… read more here.
Keywords: green noise; phase; noise binary; phase retrieval ... See more keywords