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The problem of estimating the delays and amplitudes of a positive stream of pulses appears in many applications, such as single-molecule microscopy. This paper suggests estimating the delays and amplitudes using a convex program, which is…

信息论 · 计算机科学 2017-01-11 Tamir Bendory

Magnetic resonance velocimetry (MRV) is a non-invasive experimental technique widely used in medicine and engineering to measure the velocity field of a fluid. These measurements are dense but have a low signal-to-noise ratio (SNR). The…

流体动力学 · 物理学 2021-07-19 Ushnish Sengupta , Alexandros Kontogiannis , Matthew P. Juniper

Phase retrieval refers to the problem of recovering a high-dimensional vector $\boldsymbol{x} \in \mathbb{C}^N$ from the magnitude of its linear transform $\boldsymbol{z} = A \boldsymbol{x}$, observed through a noisy channel. To improve the…

统计计算 · 统计学 2024-10-10 Hajime Ueda , Shun Katakami , Masato Okada

Velocity-encoded MRI is an imaging technique used in different areas to assess flow motion. Some applications include medical imaging such as cardiovascular blood flow studies, and industrial settings in the areas of rheology, pipe flows,…

图像与视频处理 · 电气工程与系统科学 2019-08-16 Veronica Corona , Martin Benning , Lynn F. Gladden , Andi Reci , Andrew J. Sederman , Carola-Bibiane Schoenlieb

We present a new algorithm, FRiM (FRactal Iterative Method), aiming at the reconstruction of the optical wavefront from measurements provided by a wavefront sensor. As our application is adaptive optics on extremely large telescopes, our…

数学物理 · 物理学 2015-05-18 Eric Thiebaut , Michel Tallon

Generalized Vector Approximate Message Passing (GVAMP) is an efficient iterative algorithm for approximately minimum-mean-squared-error estimation of a random vector $\mathbf{x}\sim p_{\mathbf{x}}(\mathbf{x})$ from generalized linear…

信息论 · 计算机科学 2018-06-27 Christopher A. Metzler , Philip Schniter , Richard G. Baraniuk

Phase retrieval in dynamical sampling is a novel research direction, where an unknown signal has to be recovered from the phaseless measurements with respect to a dynamical frame, i.e. a sequence of sampling vectors constructed by the…

数值分析 · 数学 2021-03-19 Robert Beinert , Marzieh Hasannasab

Estimating a vector $\mathbf{x}$ from noisy linear measurements $\mathbf{Ax}+\mathbf{w}$ often requires use of prior knowledge or structural constraints on $\mathbf{x}$ for accurate reconstruction. Several recent works have considered…

信息论 · 计算机科学 2020-01-29 Alyson K. Fletcher , Sundeep Rangan , Subrata Sarkar , Philip Schniter

The Coronal Multichannel Polarimeter (CoMP) routinely performs coronal polarimetric measurements using the Fe XIII 10747 $\AA$ and 10798 $\AA$ lines, which are sensitive to the coronal magnetic field. However, inverting such polarimetric…

太阳与恒星天体物理 · 物理学 2016-07-13 K. Dalmasse , D. W. Nychka , S. E. Gibson , Y. Fan , N. Flyer

Phase retrieval refers to a classical nonconvex problem of recovering a signal from its Fourier magnitude measurements. Inspired by the compressed sensing technique, signal sparsity is exploited in recent studies of phase retrieval to…

计算物理 · 物理学 2013-02-04 Zai Yang , Cishen Zhang , Lihua Xie

Magnetic Resonance Imaging (MRI) has excellent soft tissue contrast but is hindered by an inherently slow data acquisition process. Compressed sensing, which reconstructs sparse signals from incoherently sampled data, has been widely…

数值分析 · 数学 2022-04-29 Charles Millard , Mark Chiew , Jared Tanner , Aaron T. Hess , Boris Mailhe

A recently proposed phase-estimation protocol that is based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that Cram\'{e}r-Rao bound sensitivity can be obtained [P.\ M.\…

量子物理 · 物理学 2013-09-10 Keith R. Motes , Petr M. Anisimov , Jonathan P. Dowling

Multi-contrast Magnetic Resonance Imaging (MRI) acquisitions from a single scan have tremendous potential to streamline exams and reduce imaging time. However, maintaining clinically feasible scan time necessitates significant…

图像与视频处理 · 电气工程与系统科学 2021-03-09 Ke Wang , Enhao Gong , Yuxin Zhang , Suchadrima Banerjee , Greg Zaharchuk , John Pauly

To reduce scanning time and/or improve spatial/temporal resolution in some MRI applications, parallel MRI (pMRI) acquisition techniques with multiple coils acquisition have emerged since the early 1990s as powerful 3D imaging methods that…

最优化与控制 · 数学 2009-09-03 Lotfi Chaari , Jean-Christophe Pesquet , Philippe Ciuciu , Amel Benazza-Benyahia

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

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

Oscillator phase noise (PHN) and carrier frequency offset (CFO) can adversely impact the performance of orthogonal frequency division multiplexing (OFDM) systems, since they can result in inter carrier interference and rotation of the…

信息论 · 计算机科学 2016-11-15 Omar H. Salim , Ali A. Nasir , Hani Mehrpouyan , Wei Xiang , Salman Durrani , Rodney A. Kennedy

Estimating 3D rotations is a common procedure for 3D computer vision. The accuracy depends heavily on the rotation representation. One form of representation -- rotation matrices -- is popular due to its continuity, especially for pose…

计算机视觉与模式识别 · 计算机科学 2023-12-04 Kerui Gu , Zhihao Li , Shiyong Liu , Jianzhuang Liu , Songcen Xu , Youliang Yan , Michael Bi Mi , Kenji Kawaguchi , Angela Yao

Phase-contrast magnetic resonance imaging (MRI) provides time-resolved quantification of blood flow dynamics that can aid clinical diagnosis. Long in vivo scan times due to repeated three-dimensional (3D) volume sampling over cardiac phases…

图像与视频处理 · 电气工程与系统科学 2020-04-22 Valery Vishnevskiy , Jonas Walheim , Sebastian Kozerke

The ever-growing multimedia traffic has underscored the importance of effective multimedia codecs. Among them, the up-to-date lossy video coding standard, Versatile Video Coding (VVC), has been attracting attentions of video coding…

图像与视频处理 · 电气工程与系统科学 2022-05-10 Tiesong Zhao , Yuhang Huang , Weize Feng , Yiwen Xu , Sam Kwong