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We present a phase retrieval algorithm for dispersion scan (d-scan), inspired by ptychography, which is capable of characterizing multiple mutually-incoherent ultrafast pulses (or modes) in a pulse train simultaneously from a single d-scan…

In conventional global navigation satellite system (GNSS) receivers, usually full pseudorange measurements are required to complete a single point position fix. However, to obtain full pseudorange measurements takes longer time than for…

Signal Processing · Electrical Eng. & Systems 2020-11-26 Sihao Zhao , Xiaowei Cui , Mingquan Lu

We present a proof-of-principle demonstration of a method to characterize \textit{any} pure spatial qudit of arbitrary dimension $d$, which is based on the classic phase shift interferometry technique. In the proposed scheme a total of only…

Quantum Physics · Physics 2017-12-27 Quimey Pears Stefano , Lorena Rebón , Silvia Ledesma , Claudio Iemmi

As a new type of series expansion, the so-called one-dimensional adaptive Fourier decomposition (AFD) and its variations (1D-AFDs) have effective applications in signal analysis and system identification. The 1D-AFDs have considerable…

Numerical Analysis · Mathematics 2017-10-26 You Gao , Tao Qian , Vladimir Temlyakov , Long-fei Cao

The design of \emph{de novo} functional proteins that bind specific ligand molecules is paramount in therapeutics and bio-engineering. A critical yet formidable task in this endeavor is the design of the protein pocket, which is the cavity…

Biomolecules · Quantitative Biology 2023-10-23 Zaixi Zhang , Zepu Lu , Zhongkai Hao , Marinka Zitnik , Qi Liu

Fourier ptychographic microscopy (FPM) is a promising computational imaging technique with high resolution, wide field-of-view (FOV) and quantitative phase recovery. So far, a series of system errors that may corrupt the image quality of…

Image and Video Processing · Electrical Eng. & Systems 2023-03-29 An Pan , Aiye Wang , Junfu Zheng , Yuting Gao , Caiwen Ma , Baoli Yao

A Multistage Full Matching disparity estimation scheme (MFM) is proposed in this work. We demonstrate that decouple all similarity scores directly from the low-resolution 4D volume step by step instead of estimating low-resolution 3D cost…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Hong Zhang , Shenglun Chen , Zhihui Wang , Haojie Li , Wanli Ouyang

Detecting 3D objects accurately from multi-view 2D images is a challenging yet essential task in the field of autonomous driving. Current methods resort to integrating depth prediction to recover the spatial information for object query…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Haisheng Su , Junjie Zhang , Feixiang Song , Sanping Zhou , Wei Wu , Nanning Zheng , Junchi Yan

Autonomous robot navigation in complex environments requires robust perception as well as high-level scene understanding due to perceptual challenges, such as occlusions, and uncertainty introduced by robot movement. For example, a robot…

Robotics · Computer Science 2025-03-24 Prasanna Sriganesh , Burhanuddin Shirose , Matthew Travers

In this paper we consider the following real-valued and finite dimensional specific instance of the 1-D classical phase retrieval problem. Let ${\bf F}\in\mathbb{R}^N$ be an $N$-dimensional vector, whose discrete Fourier transform has a…

Numerical Analysis · Mathematics 2016-04-26 Ben Leshem , Oren Raz , Ariel Jaffe , Boaz Nadler

The Feynman-Kac equation governs the distribution of the statistical observable -- functional, having wide applications in almost all disciplines. After overcoming challenges from the time-space coupled nonlocal operator and the possible…

Numerical Analysis · Mathematics 2020-11-11 Jing Sun , Daxin Nie , Weihua Deng

With the vigorous development of computer vision, oriented object detection has gradually been featured. In this paper, a novel differentiable angle coder named phase-shifting coder (PSC) is proposed to accurately predict the orientation of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Yi Yu , Feipeng Da

We generalize staircase codes and tiled diagonal zipper codes, preserving their key properties while allowing each coded symbol to be protected by arbitrarily many component codewords rather than only two. This generalization which we term…

Information Theory · Computer Science 2024-12-24 Mohannad Shehadeh , Frank R. Kschischang , Alvin Y. Sukmadji , William Kingsford

In order to study transient phenomena in the Universe, existing and forthcoming imaging surveys are covering wide areas of sky repeatedly over time, with a range of cadences, point spread functions, and depths. We describe here a framework…

Instrumentation and Methods for Astrophysics · Physics 2023-08-11 D. L. Shupe , F. J. Masci , R. Chary , G. Helou , A. L. Faisst , R. M. Cutri , T. Y. Brooke , J. A. Surace , K. A. Marsh

We propose an ultrasound speckle filtering method for not only preserving various edge features but also filtering tissue-dependent complex speckle noises in ultrasound images. The key idea is to detect these various edges using a phase…

Image and Video Processing · Electrical Eng. & Systems 2021-02-11 Kunqiang Mei , Bin Hu , Baowei Fei , Binjie Qin

Modern high-resolution microscopes, such as the scanning tunneling microscope, are commonly used to study specimens that have dense and aperiodic spatial structure. Extracting meaningful information from images obtained from such…

Computational Physics · Physics 2018-08-28 Sky C. Cheung , John Y. Shin , Yenson Lau , Zhengyu Chen , Ju Sun , Yuqian Zhang , John N. Wright , Abhay N. Pasupathy

We describe a new algorithm for the "perfect" extraction of one-dimensional spectra from two-dimensional (2D) digital images of optical fiber spectrographs, based on accurate 2D forward modeling of the raw pixel data. The algorithm is…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Adam S. Bolton , David J. Schlegel

The problem of recovering a pair of signals from their blind phaseless short-time Fourier transform measurements arises in several important phase retrieval applications, including ptychography and ultra-short pulse characterization. In…

Information Theory · Computer Science 2019-04-11 Tamir Bendory , Dan Edidin , Yonina C. Eldar

A novel approach for measuring fast oscillations of an absolute value of interferometer optical path difference (OPD) has been developed. The principles of frequency-scanning interferometry are utilized for registration of the…

Instrumentation and Detectors · Physics 2019-05-01 Nikolai Ushakov , Leonid Liokumovich

Sampling is classically performed by recording the amplitude of an input signal at given time instants; however, sampling and reconstructing a signal using multiple devices in parallel becomes a more difficult problem to solve when the…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Karen Adam , Adam Scholefield , Martin Vetterli
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