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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.…

信号处理 · 电气工程与系统科学 2020-03-11 Naveed Naimipour , Shahin Khobahi , Mojtaba Soltanalian

Exploring the idea 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 phaseless…

机器学习 · 统计学 2020-12-22 Naveed Naimipour , Shahin Khobahi , Mojtaba Soltanalian

High-throughput computational imaging requires efficient processing algorithms to retrieve multi-dimensional and multi-scale information. In computational phase imaging, phase retrieval (PR) is required to reconstruct both amplitude and…

图像与视频处理 · 电气工程与系统科学 2021-09-15 Xuyang Chang , Liheng Bian , Jun Zhang

Magnetic particle imaging reconstructs tracer distributions using a system matrix obtained through time-consuming, noise-prone calibration measurements. Methods for addressing imperfections in measured system matrices increasingly rely on…

图像与视频处理 · 电气工程与系统科学 2026-03-20 Artyom Tsanda , Sarah Reiss , Konrad Scheffler , Marija Boberg , Tobias Knopp

Phase recovery (PR) refers to calculating the phase of the light field from its intensity measurements. As exemplified from quantitative phase imaging and coherent diffraction imaging to adaptive optics, PR is essential for reconstructing…

This paper considers the phase retrieval (PR) problem, which aims to reconstruct a signal from phaseless measurements such as magnitude or power spectrograms. PR is generally handled as a minimization problem involving a quadratic loss.…

声音 · 计算机科学 2022-08-17 Pierre-Hugo Vial , Paul Magron , Thomas Oberlin , Cédric Févotte

This paper proposes a novel self-supervised learning method, RELAX-MORE, for quantitative MRI (qMRI) reconstruction. The proposed method uses an optimization algorithm to unroll a model-based qMRI reconstruction into a deep learning…

生物物理 · 物理学 2023-07-26 Wanyu Bian , Albert Jang , Fang Liu

This paper proposes a novel algorithm for image phase retrieval, i.e., for recovering complex-valued images from the amplitudes of noisy linear combinations (often the Fourier transform) of the sought complex images. The algorithm is…

信号处理 · 电气工程与系统科学 2018-10-19 Joshin P. Krishnan , José M. Bioucas-Dias , Vladimir Katkovnik

In phase retrieval, the goal is to recover a complex signal from the magnitude of its linear measurements. While many well-known algorithms guarantee deterministic recovery of the unknown signal using i.i.d. random measurement matrices,…

信息论 · 计算机科学 2017-03-24 Boshra Rajaei , Sylvain Gigan , Florent Krzakala , Laurent Daudet

We develop two iterative algorithms for solving the low rank phase retrieval (LRPR) problem. LRPR refers to recovering a low-rank matrix $\X$ from magnitude-only (phaseless) measurements of random linear projections of its columns. Both…

信息论 · 计算机科学 2017-08-02 Namrata Vaswani , Seyedehsara Nayer , Yonina C. Eldar

Fringe projection profilometry (FPP) has become increasingly important in dynamic 3-D shape measurement. In FPP, it is necessary to retrieve the phase of the measured object before shape profiling. However, traditional phase retrieval…

图像与视频处理 · 电气工程与系统科学 2020-04-22 Haotian Yu , Xiaoyu Chen , Zhao Zhang , Yi Zhang , Dongliang Zheng , Jing Han

In phase retrieval problems, a signal of interest (SOI) is reconstructed based on the magnitude of a linear transformation of the SOI observed with additive noise. The linear transform is typically referred to as a measurement matrix. Many…

信息论 · 计算机科学 2018-02-14 Nir Shlezinger , Ron Dabora , Yonina C. Eldar

We develop a probabilistic framework for deep learning based on the Deep Rendering Mixture Model (DRMM), a new generative probabilistic model that explicitly capture variations in data due to latent task nuisance variables. We demonstrate…

机器学习 · 统计学 2016-12-07 Ankit B. Patel , Tan Nguyen , Richard G. Baraniuk

We propose the Deep Distance Measurement Method (DDMM) to improve retrieval accuracy in unsupervised multivariate time series similarity retrieval. DDMM enables learning of minute differences within states in the entire time series and…

机器学习 · 计算机科学 2026-03-16 Susumu Naito , Kouta Nakata , Yasunori Taguchi

Phase retrieval consists in the recovery of a complex-valued signal from intensity-only measurements. As it pervades a broad variety of applications, many researchers have striven to develop phase-retrieval algorithms. Classical approaches…

Phase retrieval algorithms have become an important component in many modern computational imaging systems. For instance, in the context of ptychography and speckle correlation imaging, they enable imaging past the diffraction limit and…

Based on its great successes in inference and denosing tasks, Dictionary Learning (DL) and its related sparse optimization formulations have garnered a lot of research interest. While most solutions have focused on single layer…

机器学习 · 计算机科学 2021-04-22 Wen Tang , Emilie Chouzenoux , Jean-Christophe Pesquet , Hamid Krim

Magnetic Resonance Imaging (MRI) is a widely used medical imaging technique, but its long acquisition time can be a limiting factor in clinical settings. To address this issue, researchers have been exploring ways to reduce the acquisition…

计算机视觉与模式识别 · 计算机科学 2024-04-09 Pu Yang , Bin Dong

This work introduces a novel Fourier phase retrieval model, called polarimetric phase retrieval that enables a systematic use of polarization information in Fourier phase retrieval problems. We provide a complete characterization of…

信号处理 · 电气工程与系统科学 2022-06-28 Julien Flamant , Konstantin Usevich , Marianne Clausel , David Brie

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick
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