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The well-known discrete Fourier transform (DFT) can easily be generalized to arbitrary nodes in the spatial domain. The fast procedure for this generalization is referred to as nonequispaced fast Fourier transform (NFFT). Various…

Numerical Analysis · Mathematics 2025-06-09 Melanie Kircheis , Daniel Potts

We introduce Omni-LOS, a neural computational imaging method for conducting holistic shape reconstruction (HSR) of complex objects utilizing a Single-Photon Avalanche Diode (SPAD)-based time-of-flight sensor. As illustrated in Fig. 1, our…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Binbin Huang , Xingyue Peng , Siyuan Shen , Suan Xia , Ruiqian Li , Yanhua Yu , Yuehan Wang , Shenghua Gao , Wenzheng Chen , Shiying Li , Jingyi Yu

The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media. The NFT…

Information Theory · Computer Science 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

Magnetic Resonance Imaging (MRI) has long been considered to be among the gold standards of today's diagnostic imaging. The most significant drawback of MRI is long acquisition times, prohibiting its use in standard practice for some…

Image and Video Processing · Electrical Eng. & Systems 2020-08-12 Jonathan Alush-Aben , Linor Ackerman-Schraier , Tomer Weiss , Sanketh Vedula , Ortal Senouf , Alex Bronstein

This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the SU$(2)$-nonlinear Fourier transform (NFT). The theoretical underpinnings of this generalization of the conventional…

Numerical Analysis · Mathematics 2018-07-24 Vishal Vaibhav

Spatial frequency analysis and transforms serve a central role in most engineered image and video lossy codecs, but are rarely employed in neural network (NN)-based approaches. We propose a novel NN-based image coding framework that…

Image and Video Processing · Electrical Eng. & Systems 2023-01-04 Hyomin Choi , Fabien Racape , Shahab Hamidi-Rad , Mateen Ulhaq , Simon Feltman

Image fusion aims at estimating a high-resolution spectral image from a low-spatial-resolution hyperspectral image and a low-spectral-resolution multispectral image. In this regard, compressive spectral imaging (CSI) has emerged as an…

Image and Video Processing · Electrical Eng. & Systems 2021-08-04 Juan Marcos Ramírez , José Ignacio Martínez Torre , Henry Arguello Fuentes

We present a cosmology analysis of simulated weak lensing convergence maps using the Neural Field Scattering Transform (NFST) to constrain cosmological parameters. The NFST extends the Wavelet Scattering Transform (WST) by incorporating…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-11 Matthew Craigie , Yuan-Sen Ting , Rossana Ruggeri , Tamara M. Davis

Pseudo-LiDAR based 3D object detectors have gained popularity due to their high accuracy. However, these methods need dense depth supervision and suffer from inferior speed. To solve these two issues, a recently introduced RTS3D builds an…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Aqi Gao , Jiale Cao , Yanwei Pang

Non-line-of-sight (NLOS) imaging is an emerging technique for detecting objects behind obstacles or around corners. Recent studies on passive NLOS mainly focus on steady-state measurement and reconstruction methods, which show limitations…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Conghe Wang , Yutong He , Xia Wang , Honghao Huang , Changda Yan , Xin Zhang , Hongwei Chen

Convolutional Neural Networks (CNN) have been successful in processing data signals that are uniformly sampled in the spatial domain (e.g., images). However, most data signals do not natively exist on a grid, and in the process of being…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Chiyu "Max" Jiang , Dequan Wang , Jingwei Huang , Philip Marcus , Matthias Nießner

This paper presents a comprehensive exploration of Fast Fourier Transform (FFT) and linear convolution implementations, integrating both conventional methods and novel approaches leveraging the Bit Slicing Multiplier (BSM) technique. The…

Signal Processing · Electrical Eng. & Systems 2024-07-03 Aravind Kumar N , Hari Krishna S , Anita Angeline A

By viewing the nonuniform discrete Fourier transform (NUDFT) as a perturbed version of a uniform discrete Fourier transform, we propose a fast, stable, and simple algorithm for computing the NUDFT that costs $\mathcal{O}(N\log…

Numerical Analysis · Mathematics 2017-01-18 Diego Ruiz-Antolin , Alex Townsend

Being able to see beyond the direct line of sight is an intriguing prospective and could benefit a wide variety of important applications. Recent work has demonstrated that time-resolved measurements of indirect diffuse light contain…

Graphics · Computer Science 2019-10-24 Julian Iseringhausen , Matthias B. Hullin

Recent advancements in Simultaneous Localization and Mapping (SLAM) have increasingly highlighted the robustness of LiDAR-based techniques. At the same time, Neural Radiance Fields (NeRF) have introduced new possibilities for 3D scene…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Qi Zhang , He Wang , Ru Li , Wenbin Li

Transmission matrix (TM) allows light control through complex media such as multimode fibers (MMFs), gaining great attention in areas like biophotonics over the past decade. The measurement of a complex-valued TM is highly desired as it…

MRI data is acquired in Fourier space/k-space. Data acquisition is typically performed on a Cartesian grid in this space to enable the use of a fast Fourier transform algorithm to achieve fast and efficient reconstruction. However, it has…

Signal Processing · Electrical Eng. & Systems 2024-01-17 Daniel Abraham , Mark Nishimura , Xiaozhi Cao , Congyu Liao , Kawin Setsompop

The domain of non-line-of-sight (NLOS) imaging is advancing rapidly, offering the capability to reveal occluded scenes that are not directly visible. However, contemporary NLOS systems face several significant challenges: (1) The…

Image and Video Processing · Electrical Eng. & Systems 2025-02-28 Xiongfei Su , Tianyi Zhu , Lina Liu , Zheng Chen , Yulun Zhang , Siyuan Li , Juntian Ye , Feihu Xu , Xin Yuan

Reconstructing object geometry from radio frequency (RF) signals is fundamentally challenging due to the lensless imaging nature of RF sensing, which leads to low spatial resolution and high noise. Unlike light signals, RF signals can…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Jiachen Lu , Hailan Shanbhag , Haitham Al Hassanieh

Compressed sensing (CS) in Magnetic resonance Imaging (MRI) essentially involves the optimization of 1) the sampling pattern in k-space under MR hardware constraints and 2) image reconstruction from the undersampled k-space data. Recently,…

Signal Processing · Electrical Eng. & Systems 2021-10-26 Chaithya G R , Zaccharie Ramzi , Philippe Ciuciu