On the 2d phase retrieval problem
Web1 de out. de 2024 · The method we present in this paper is an adoption of a fast direct solver for the phase retrieval problem as it was developed by Iwen et al. in , . The … Web27 de mai. de 2016 · In this paper we focus on the 2D phase retrieval problem and provide insight into this uniqueness property by exploring the connection between the 2D and 1D formulations. In particular, we show that 2D phase retrieval can be cast as a 1D problem with additional constraints, which limit the solution space.
On the 2d phase retrieval problem
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Web26 de out. de 2015 · ArXiv. The problem of phase retrieval is a classic one in optics and arises when one is interested in recovering an unknown signal from the magnitude (intensity) of its Fourier transform. While there have existed quite a few approaches to phase retrieval, recent developments in compressed sensing and convex optimization … Web27 de mai. de 2016 · In this paper we focus on the 2D phase retrieval problem and provide insight into this uniqueness property by exploring the connection between the 2D and 1D …
WebWe tackle the problem of recovering 2-D complex fields starting from the spectral amplitude data, the support of the source, and a few additional information. In particular, we further elaborate on our ‘crosswords-solution like’ approach where the solution is found by solving 1D problems and congruence arguments. Its argued that intersecating lines and circles … Web22 de nov. de 2016 · The recovery of a signal from the magnitude of its Fourier transform, also known as phase retrieval, is of fundamental importance in many scientific fields. It …
Web26 de mai. de 2016 · In this paper we focus on the 2D phase retrieval problem and provide insight into this uniqueness property by exploring the connection between the 2D and 1D … Web3.4. HS Phase Retrieval Algorithm. Table 1 presents a block scheme of the developed algorithm. The calculation of the initial spectral guess U o, k (0) uses the complex-valued 2D object model with the wavelength-varying phase according to Eq. (14) obtained from an uniform initial guess for h (x, y).Stage 1 is the forward propagation from the object plane …
Web27 de mai. de 2016 · It is shown that 2D phase retrieval can be cast as a 1D problem with additional constraints, which limit the solution space and it is proved that only one …
Web15 de abr. de 2016 · The one-dimensional phase retrieval problem consists in the recovery of a complex-valued signal from its Fourier intensity. Due to the well-known … in which ribbon clipboard group appearsWeb14 de dez. de 2016 · The use of a “window” 2D Hilbert transform for reconstruction of the phase distribution of remote objects is proposed. It is shown that the advantage of this approach consists in the invariance of a phase map to a change of the position of the kernel of transformation and in a possibility to reconstruct the structure-forming elements of the … in which river basin do we live in texasWeb15 de nov. de 2024 · We consider generalisation of 2D phase retrieval problem to higher dimensions. ... In the phase retrieval problem, model fidelity of experimental data containing a non-zero background level, fixed pattern noise, or overexposure, often presents a serious obstacle for standard algorithms. in which river are the thousand islandsWebThe use of a "window" 2D Hilbert transform for reconstruction of the phase distribution of remote objects is proposed. It is shown that the advantage of this approach consists in the invariance of a phase map to a change of the position of the kernel of ... in which ribbon tab is solverWeb23 de ago. de 2024 · Geometry of the Phase Retrieval Problem. One of the most powerful approaches to imaging at the nanometer or subnanometer length scale is coherent … in which respiratory organ does asthma occurWebB. 2D Phase Retrieval We now turn to discuss the 2D phase retrieval problem. In this case our unknown is an N× real matrix X. We assume we are given the magnitude-square of the 2D Fourier transform Y = F M,NXFT M,N 2. Our problem can then be written as find X subject to vec (Y)= F M,N⊗ M,N)vec X 2, (10) where in which river rangit iii dam is situatedWebJoint Estimation and Inference for Data Integration Problems based on Multiple Multi-layered Gaussian Graphical Models [Re] ... Solving Phase Retrieval With a Learned Reference [Re] Strategic classification made practical: reproduction ... Phase diagram of Stochastic Gradient Descent in high-dimensional two-layer neural networks. onnyx electronisys private limited