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High resolution images can be acquired using a non-regular sampling sensor which consists of an underlying low resolution sensor that is covered with a non-regular sampling mask. The reconstructed high resolution image is then obtained…

Image and Video Processing · Electrical Eng. & Systems 2022-04-08 Markus Jonscher , Karina Jaskolka , Jürgen Seiler , André Kaup

Recurrent Neural Networks (RNNs) and their variants, such as Long-Short Term Memory (LSTM) networks, and Gated Recurrent Unit (GRU) networks, have achieved promising performance in sequential data modeling. The hidden layers in RNNs can be…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Yu Pan , Jing Xu , Maolin Wang , Jinmian Ye , Fei Wang , Kun Bai , Zenglin Xu

This study formally adapts the time-domain linear sampling method (TLSM) for ultrasonic imaging of stationary and evolving fractures in safety-critical components. The TLSM indicator is then applied to the laboratory test data of [22, 18]…

Numerical Analysis · Mathematics 2022-09-16 Xiaoli Liu , Jian Song , Fatemeh Pourahmadian , Houssem Haddar

Standard single-image super-resolution (SR) upsamples and restores entire images. Yet several real-world applications require higher resolutions only in specific regions, such as license plates or faces, making the super-resolution of the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Bo Ji , Angela Yao

Dimensionality reduction (DR) methods have attracted extensive attention to provide discriminative information and reduce the computational burden of the hyperspectral image (HSI) classification. However, the DR methods face many challenges…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Ramanarayan Mohanty , S L Happy , Aurobinda Routray

Optimization-based approaches dominate infrared small target detection as they leverage infrared imagery's intrinsic low-rankness and sparsity. While effective for single-frame images, they struggle with dynamic changes in multi-frame…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Fengyi Wu , Simin Liu , Haoan Wang , Bingjie Tao , Junhai Luo , Zhenming Peng

We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is applied to detect the location of the inhomogeneity in the…

Numerical Analysis · Mathematics 2022-01-04 Kazufumi Ito , Ying Liang , Jun Zou

Hyperspectral image (HSI) classification, which aims to assign an accurate label for hyperspectral pixels, has drawn great interest in recent years. Although low rank representation (LRR) has been used to classify HSI, its ability to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-08 Qi Wang , Xiange He , Xuelong Li

Supervised Deep-Learning (DL)-based reconstruction algorithms have shown state-of-the-art results for highly-undersampled dynamic Magnetic Resonance Imaging (MRI) reconstruction. However, the requirement of excessive high-quality…

Image and Video Processing · Electrical Eng. & Systems 2025-11-11 Jie Feng , Ruimin Feng , Qing Wu , Zhiyong Zhang , Yuyao Zhang , Hongjiang Wei

Deep Learning (DL) based methods for magnetic resonance (MR) image reconstruction have been shown to produce superior performance in recent years. However, these methods either only leverage under-sampled data or require a paired…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Pengfei Guo , Vishal M. Patel

Recursive estimates of large systems of equations in the context of least squares fitting is a common practice in different fields of study. For example, recursive adaptive filtering is extensively used in signal processing and control…

Numerical Analysis · Mathematics 2018-01-04 Nasser Kazemi , Mauricio Sacchi

A Random SubMatrix method (RSM) is proposed to calculate the low-rank decomposition of large-scale matrices with known entry percentage \rho. RSM is very fast as the floating-point operations (flops) required are compared favorably with the…

Numerical Analysis · Computer Science 2015-10-28 Yiguang Liu

The inverse scattering problems have been popular for the past thirty years. While very successful in many cases, progress has lagged when only {\em limited-aperture} measurement is available. In this paper, we perform some elementary study…

Numerical Analysis · Mathematics 2018-01-09 Xiaodong Liu , Jiguang Sun

In recent years, there has been a noteworthy focus on infrared small target detection, given its vital importance in processing signals from infrared remote sensing. The considerable computational cost incurred by prior methods, relying…

Numerical Analysis · Mathematics 2024-02-29 Jiqian Zhao , An-Bao Xu

Modern-day seismic imaging and monitoring technology increasingly rely on dense full-azimuth sampling. Unfortunately, the costs of acquiring densely sampled data rapidly become prohibitive and we need to look for ways to sparsely collect…

Optimization and Control · Mathematics 2020-04-22 Yijun Zhang , Shashin Sharan , Oscar Lopez , Felix J. Herrmann

Parallel transmission has been a very promising candidate technology to mitigate the inevitable radio-frequency field inhomogeneity in magnetic resonance imaging (MRI) at ultra-high field (UHF). For the first few years, pulse design…

Instrumentation and Detectors · Physics 2013-11-06 Andres Hoyos Idrobo , Pierre Weiss , Aurélien Massire , Alexis Amadon , Nicolas Boulant

Solving the global method of Weighted Least Squares (WLS) model in image filtering is both time- and memory-consuming. In this paper, we present an alternative approximation in a time- and memory- efficient manner which is denoted as…

Graphics · Computer Science 2020-09-23 Wei Liu , Xiaogang Chen , Chuanhua Shen , Zhi Liu , Jie Yang

The problem of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy is addressed. Basics of the sampling theory are outlined to show that the lower bound of signal sampling…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Leonid P. Yaroslavsky

Environmental scene reconstruction is of great interest for autonomous robotic applications, since an accurate representation of the environment is necessary to ensure safe interaction with robots. Equally important, it is also vital to…

Signal Processing · Electrical Eng. & Systems 2022-06-23 Cristian J. Vaca-Rubio , Roberto Pereira , Xavier Mestre , David Gregoratti , Zheng-Hua Tan , Elisabeth de Carvalho , Petar Popovski

We introduce a reduced order model (ROM) methodology for inverse electromagnetic wave scattering in layered lossy media, using data gathered by an antenna which generates a probing wave and measures the time resolved reflected wave. We…

Dynamical Systems · Mathematics 2021-08-04 Liliana Borcea , Vladimir Druskin , Jörn Zimmerling