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We study theoretical limits of \emph{descending} phase retrieval algorithms. Utilizing \emph{Random duality theory} (RDT) we develop a generic program that allows statistical characterization of various algorithmic performance metrics.…

Machine Learning · Statistics 2025-06-24 Mihailo Stojnic

The contrast transfer function (CTF) is widely used to evaluate phase retrieval methods in scanning transmission electron microscopy (STEM), including center-of-mass imaging, parallax imaging, direct ptychography, and iterative…

In this paper, we develop a novel framework to optimally design spectral estimators for phase retrieval given measurements realized from an arbitrary model. We begin by deconstructing spectral methods, and identify the fundamental…

Signal Processing · Electrical Eng. & Systems 2020-12-14 Bariscan Yonel , Birsen Yazici

Accurate computational ptychographic phase reconstructions are enabled by fast direct-electron cameras with high dynamic ranges used for four-dimensional scanning transmission electron microscopy (4D-STEM). The availability of open software…

Materials Science · Physics 2025-05-01 Toma Susi

Based on phase retrieval, lensless coherent imaging and in particular holography offers quantitative phase and amplitude images. This is of particular importance for spectral ranges where suitable lenses are challenging, such as for hard…

Image and Video Processing · Electrical Eng. & Systems 2022-09-01 Simon Huhn , Leon Merten Lohse , Jens Lucht , Tim Salditt

This paper explores the problem of generalized phase retrieval, which involves reconstructing a length-$n$ signal $\bm{x}$ from its $m$ phaseless samples $y_k = \left|\langle \bm{a}_k,\bm{x}\rangle\right|^2$, where $k = 1,2,...,m$, and…

Information Theory · Computer Science 2026-04-16 Jianfeng Cai , Huiping Li , Jiayi Li

One of the most prominent challenges in the field of diffractive imaging is the phase retrieval (PR) problem: In order to reconstruct an object from its diffraction pattern, the inverse Fourier transform must be computed. This is only…

Image and Video Processing · Electrical Eng. & Systems 2022-05-06 Simon Welker , Tal Peer , Henry N. Chapman , Timo Gerkmann

Recently, discriminatively learned correlation filters (DCF) has drawn much attention in visual object tracking community. The success of DCF is potentially attributed to the fact that a large amount of samples are utilized to train the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Kai Chen , Wenbing Tao

The problem of phase retrieval has been intriguing researchers for decades due to its appearance in a wide range of applications. The task of a phase retrieval algorithm is typically to recover a signal from linear phase-less measurements.…

Signal Processing · Electrical Eng. & Systems 2020-03-11 Naveed Naimipour , Shahin Khobahi , Mojtaba Soltanalian

We introduce and discuss a new approach to the phase retrieval of fields radiated by continuous aperture sources having a circular support, which is of interest in many applications including the detection of shape deformations on reflector…

Systems and Control · Electrical Eng. & Systems 2022-10-26 R. Palmeri , G. M. Battaglia , A. F. Morabito , T. Isernia

Dual-comb spectroscopy (DCS) with few-GHz tooth spacing that provides the optimal trade-off between spectral resolution and refresh rate is a powerful tool for measuring and analyzing rapidly evolving transient events. Despite such an…

Transport of fast electron in overdense plasmas is of key importance in high energy density physics. However, it is challenging to diagnose the fast electron transport in experiments. In this article, we study coherent transition radiation…

Long-time coherent integration (LTCI) is one of the most important techniques to improve radar detection performance of weak targets. However, for the targets moving with constant Cartesian velocities (CCV), the existing LTCI methods based…

Signal Processing · Electrical Eng. & Systems 2021-02-23 Gongjian Zhou , Zeyu Xu , Yuchao Yang

Ground-penetrating radar (GPR) has emerged as a prominent tool for imaging internal defects in cylindrical structures, such as columns, utility poles, and tree trunks. However, accurately reconstructing both the shape and permittivity of…

Signal Processing · Electrical Eng. & Systems 2026-02-12 Jiwei Qian , Yee Hui Lee , Kaixuan Cheng , Qiqi Dai , Arda Yalcinkaya , Mohamed Lokman Mohd Yusof , James Wang , Abdulkadir C. Yucel

Phase-retrieval techniques aim to recover the original signal from just the modulus of its Fourier transform, which is usually much easier to measure than its phase, but the standard iterative techniques tend to fail if only part of the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-06 Giovanni Pellegrini , Jacopo Bertolotti

Robust tensor principal component analysis (RTPCA) aims to separate the low-rank and sparse components from multi-dimensional data, making it an essential technique in the signal processing and computer vision fields. Recently emerging…

Computer Vision and Pattern Recognition · Computer Science 2025-01-20 Lanlan Feng , Ce Zhu , Yipeng Liu , Saiprasad Ravishankar , Longxiu Huang

Computer-generated holograms (CGHs) are used in holographic three-dimensional (3D) displays and holographic projections. The quality of the reconstructed images using phase-only CGHs is degraded because the amplitude of the reconstructed…

Computer Vision and Pattern Recognition · Computer Science 2022-02-02 Yoshiyuki Ishii , Tomoyoshi Shimobaba , David Blinder , Tobias Birnbaum , Peter Schelkens , Takashi Kakue , Tomoyoshi Ito

We consider the problem of signal reconstruction from quadratic measurements that are encoded as +1 or -1 depending on whether they exceed a predetermined positive threshold or not. Binary measurements are fast to acquire and inexpensive in…

Information Theory · Computer Science 2018-03-14 Subhadip Mukherjee , Chandra Sekhar Seelamantula
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