The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform
From MaRDI portal
Publication:3677111
DOI10.1109/TASSP.1982.1163863zbMath0563.65084MaRDI QIDQ3677111
Publication date: 1982
Published in: IEEE Transactions on Acoustics, Speech, and Signal Processing (Search for Journal in Brave)
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items (35)
Numerical optimization algorithms for wavefront phase retrieval from multiple measurements ⋮ The numerics of phase retrieval ⋮ Phase retrieval with one or two diffraction patterns by alternating projections with the null initialization ⋮ Uniqueness theorems for tomographic phase retrieval with few coded diffraction patterns ⋮ On global convergence of gradient descent algorithms for generalized phase retrieval problem ⋮ Solving PhaseLift by Low-Rank Riemannian Optimization Methods for Complex Semidefinite Constraints ⋮ Signal Reconstruction from Phase-Only Measurements: Uniqueness Condition, Minimal Measurement Number and Beyond ⋮ Provable Phase Retrieval with Mirror Descent ⋮ Iterative phasing for fluctuation X-ray scattering ⋮ On relaxed averaged alternating reflections (RAAR) algorithm for phase retrieval with structured illumination ⋮ Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes ⋮ Coded aperture ptychography: uniqueness and reconstruction ⋮ Geometry of the phase retrieval problem ⋮ One-dimensional phase retrieval: regularization, box relaxation and uniqueness ⋮ Phase retrieval with background information ⋮ Signal enhancement and the method of successive projections ⋮ Fourier phase retrieval with a single mask by Douglas-Rachford algorithms ⋮ Image Representation by Complex Cell Responses ⋮ On signal reconstruction without phase ⋮ Scalable incremental nonconvex optimization approach for phase retrieval ⋮ Total Variation--Based Phase Retrieval for Poisson Noise Removal ⋮ Variational Phase Retrieval with Globally Convergent Preconditioned Proximal Algorithm ⋮ Holographic phase retrieval and reference design ⋮ Multi-target detection with application to cryo-electron microscopy ⋮ Phase retrieval with PhaseLift algorithm ⋮ Phase Retrieval via Matrix Completion ⋮ On phase retrieval via matrix completion and the estimation of low rank PSD matrices ⋮ Tensor-free proximal methods for lifted bilinear/quadratic inverse problems with applications to phase retrieval ⋮ Phase Retrieval from Incomplete Magnitude Information via Total Variation Regularization ⋮ Blind ptychography: uniqueness and ambiguities ⋮ Solving phase retrieval via graph projection splitting ⋮ Phase retrieval for sparse binary signal: uniqueness and algorithm ⋮ Recovering Missing Data in Coherent Diffraction Imaging ⋮ Toward a Mathematical Theory of the Crystallographic Phase Retrieval Problem ⋮ Phase reconstruction from magnitude of band-limited multidimensional signals
This page was built for publication: The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform