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We study the problem of constructing a graph Fourier transform (GFT) for directed graphs (digraphs), which decomposes graph signals into different modes of variation with respect to the underlying network. Accordingly, to capture low,…

Spectral Theory · Mathematics 2017-06-01 Rasoul Shafipour , Ali Khodabakhsh , Gonzalo Mateos , Evdokia Nikolova

Recent learning-based Multi-View Stereo models have demonstrated state-of-the-art performance in sparse-view 3D reconstruction. However, directly applying 3D Gaussian Splatting (3DGS) as a refinement step following these models presents…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Yongsung Kim , Minjun Park , Jooyoung Choi , Sungroh Yoon

We describe an approach based on compressive-sampling which allows for a considerable reduction in the acquisition time in Fourier-transform spectroscopy. In this approach, an N-point Fourier spectrum is resolved from much less than N…

Optics · Physics 2010-06-15 Ori Katz , Jonathan M. Levitt , Yaron Silberberg

We propose a solution to the image deconvolution problem where the convolution kernel or point spread function (PSF) is assumed to be only partially known. Small perturbations generated from the model are exploited to produce a few…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

Fourier Ptychography (FP) is a recently proposed technique for large field of view and high resolution imaging. Specifically, FP captures a set of low resolution images under angularly varying illuminations and stitches them together in…

Optics · Physics 2014-11-25 Liheng Bian , Jinli Suo , Guohai Situ , Guoan Zheng , Feng Chen , Qionghai Dai

In this paper, a new waveform called discrete Fourier transform spread orthogonal frequency division multiplexing with chirp modulation (DFT-s-OFDM-CM) is proposed for the next generation of wireless communications. The information bits are…

Signal Processing · Electrical Eng. & Systems 2025-08-07 Yujie Liu , Yong Liang Guan , David González G. , Halim Yanikomeroglu

Scientific imaging techniques such as optical and electron microscopy and computed tomography (CT) scanning are used to study the 3D structure of an object through 2D observations. These observations are related to the original 3D object…

Machine Learning · Computer Science 2019-06-21 Karen Ullrich , Rianne van den Berg , Marcus Brubaker , David Fleet , Max Welling

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

Beamspace processing is an emerging technique to reduce baseband complexity in massive multiuser (MU) multiple-input multiple-output (MIMO) communication systems operating at millimeter-wave (mmWave) and terahertz frequencies. The high…

Signal Processing · Electrical Eng. & Systems 2021-07-16 Sueda Taner , Christoph Studer

Fourier ptychography microscopy (FPM), sharing its roots with synthetic aperture technique and phase retrieval method, is a recently developed computational microscopic super-resolution technique. By turning on the light-emitting diode…

Optics · Physics 2021-05-07 G. Zhou , S. Zhang , C. Zheng , T. Li , Y. Hu , Q. Hao

The discrete Fourier transform (DFT) is of fundamental interest in photonic quantum information, yet the ability to scale it to high dimensions depends heavily on the physical encoding, with practical recipes lacking in emerging platforms…

Quantum Physics · Physics 2022-03-21 Hsuan-Hao Lu , Navin B. Lingaraju , Daniel E. Leaird , Andrew M. Weiner , Joseph M. Lukens

In this paper we consider the problem of constructing graph Fourier transforms (GFTs) for directed graphs (digraphs), with a focus on developing multiple GFT designs that can capture different types of variation over the digraph…

Signal Processing · Electrical Eng. & Systems 2023-04-11 Laura Shimabukuro , Antonio Ortega

Extremely large-scale array (XL-array) has emerged as one promising technology to improve the spectral efficiency and spatial resolution of future sixth generation (6G) wireless systems.The upsurge in the antenna number antennas renders…

Signal Processing · Electrical Eng. & Systems 2024-06-19 Cong Zhou , Chenyu Wu , Changsheng You , Shuo Shi

Slope difference distribution (SDD) is computed for the one-dimensional curve. It is not only robust to calculate the partitioning point to separate the curve logically, but also robust to calculate the clustering center of each part of the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Zhenzhou Wang

Fourier ptychography (FP) is a recently proposed computational imaging technique for high space-bandwidth product imaging. In real setups such as endoscope and transmission electron microscope, the common sample motion largely degrades the…

Frames are the foundation of the linear operators used in the decomposition and reconstruction of signals, such as the discrete Fourier transform, Gabor, wavelets, and curvelet transforms. The emergence of sparse representation models has…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Wen-Liang Hwang , Ping-Tzan Huang , Tai-Lang Jong

Features based on sparse representation, especially using the synthesis dictionary model, have been heavily exploited in signal processing and computer vision. However, synthesis dictionary learning typically involves NP-hard sparse coding…

Machine Learning · Computer Science 2017-10-17 Bihan Wen , Saiprasad Ravishankar , Yoram Bresler

DFT is the numerical implementation of Fourier transform (FT), and it has many forms. Ordinary DFT (ODFT) and symmetric DFT (SDFT) are the two main forms of DFT. The most widely used DFT is ODFT, and the phase spectrum of this form is…

Information Theory · Computer Science 2021-08-27 Rui Li

As the perception range of LiDAR increases, LiDAR-based 3D object detection becomes a dominant task in the long-range perception task of autonomous driving. The mainstream 3D object detectors usually build dense feature maps in the network…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Lue Fan , Feng Wang , Naiyan Wang , Zhaoxiang Zhang

Based on point spread function (PSF) engineering and astigmatism due to a pair of cylindrical lenses, a novel compressed imaging mechanism is proposed to achieve single-shot incoherent 3D imaging. The speckle-like PSF of the imaging system…

Optics · Physics 2021-05-24 Qiong Gao , Weidong Qu , Ming Shao , Wei Liu , Xiangzheng Cheng