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This paper is concerned with function reconstruction from samples. The sampling points used in several approaches are (1) structured points connected with fast algorithms or (2) unstructured points coming from, e.g., an initial random draw…

数值分析 · 数学 2023-06-07 Felix Bartel , Lutz Kämmerer , Daniel Potts , Tino Ullrich

Diffusion MRI is a well established imaging modality providing a powerful way to probe the structure of the white matter non-invasively. Despite its potential, the intrinsic long scan times of these sequences have hampered their use in…

定量方法 · 定量生物学 2013-12-31 Alessandro Daducci , Dimitri Van De Ville , Jean-Philippe Thiran , Yves Wiaux

We demonstrate a new attosecond pulse reconstruction modality which uses an algorithm that is derived from ptychography. In contrast to other methods, energy and delay sampling are not correlated, and as a result, the number of electron…

光学 · 物理学 2015-11-17 M. Lucchini , M. H. Brügmann , A. Ludwig , L. Gallmann , U. Keller , T. Feurer

We present an efficient, elastic 3D LiDAR reconstruction framework which can reconstruct up to maximum LiDAR ranges (60 m) at multiple frames per second, thus enabling robot exploration in large-scale environments. Our approach only…

We consider a shape optimization based method for finding the best interpolation data in the compression of images with noise. The aim is to reconstruct missing regions by means of minimizing a data fitting term in an $L^p$-norm between…

偏微分方程分析 · 数学 2024-10-11 Zakaria Belhachmi , Thomas Jacumin

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

计算机视觉与模式识别 · 计算机科学 2013-09-19 Gilles Puy , Pierre Vandergheynst

Turbulence-degraded image frames are distorted by both turbulent deformations and space-time-varying blurs. To suppress these effects, we propose a multi-frame reconstruction scheme to recover a latent image from the observed image…

计算机视觉与模式识别 · 计算机科学 2017-12-12 Chun Pong Lau , Yu Hin Lai , Lok Ming Lui

Magnetic resonance imaging is capable of producing volumetric images without ionizing radiation. Nonetheless, long acquisitions lead to prohibitively long exams. Compressed sensing (CS) can enable faster scanning via sub-sampling with…

In this paper, we consider a compressed sensing problem of reconstructing a sparse signal from an undersampled set of noisy linear measurements. The regularized least squares or least absolute shrinkage and selection operator (LASSO)…

信息论 · 计算机科学 2014-10-30 Chao-Kai Wen , Jun Zhang , Kai-Kit Wong , Jung-Chieh Chen , Chau Yuen

In this work we present Low-rank Deconvolution, a powerful framework for low-level feature-map learning for efficient signal representation with application to signal recovery. Its formulation in multi-linear algebra inherits properties…

计算机视觉与模式识别 · 计算机科学 2023-05-04 David Reixach

The purpose of signal extrapolation is to estimate unknown signal parts from known samples. This task is especially important for error concealment in image and video communication. For obtaining a high quality reconstruction, assumptions…

计算机视觉与模式识别 · 计算机科学 2022-05-17 Ján Koloda , Jürgen Seiler , André Kaup , Victoria Sánchez , Antonio M. Peinado

Sparse modeling is one of the efficient techniques for imaging that allows recovering lost information. In this paper, we present a novel iterative phase-retrieval algorithm using a sparse representation of the object amplitude and phase.…

计算机视觉与模式识别 · 计算机科学 2011-08-17 Artem Migukin , Vladimir Katkovnik , Jaakko Astola

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

最优化与控制 · 数学 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

This paper considers the problem of reconstructing an object with high-resolution using several low-resolution images, which are degraded due to nonuniform defocus effects caused by angular misalignment of the subpixel motions. The new…

最优化与控制 · 数学 2021-07-30 Hieu Thao Nguyen , Oleg Soloviev , Jacques Noom , Michel Verhaegen

Learned image compression has recently shown the potential to outperform the standard codecs. State-of-the-art rate-distortion (R-D) performance has been achieved by context-adaptive entropy coding approaches in which hyperprior and…

图像与视频处理 · 电气工程与系统科学 2021-01-01 Mohammad Akbari , Jie Liang , Jingning Han , Chengjie Tu

This paper addresses an ill-posed problem of recovering a color image from its compressively sensed measurement data. Differently from the typical 1D vector-based approach of the state-of-the-art methods, we exploit the nonlocal…

图像与视频处理 · 电气工程与系统科学 2017-11-28 Khanh Quoc Dinh , Thuong Nguyen Canh , Byeungwoo Jeon

Wireless sensor networks are widely adopted in military, civilian and commercial applications, which fuels an exponential explosion of sensory data. However, a major challenge to deploy effective sensing systems is the presence of {\em…

信息论 · 计算机科学 2015-09-15 Xiao-Yang Liu , Xiaodong Wang , Linghe Kong , Meikang Qiu , Min-You Wu

Previous low-light image enhancement (LLIE) approaches, while employing frequency decomposition techniques to address the intertwined challenges of low frequency (e.g., illumination recovery) and high frequency (e.g., noise reduction),…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Kun Zhou , Xinyu Lin , Wenbo Li , Xiaogang Xu , Yuanhao Cai , Zhonghang Liu , Xiaoguang Han , Jiangbo Lu

Objective: Acquiring fully sampled training data is challenging for many MRI applications. We present a self-supervised image reconstruction method, termed ReSiDe, capable of recovering images solely from undersampled data. Materials and…

图像与视频处理 · 电气工程与系统科学 2024-11-26 Muhammad Shafique , Sizhuo Liu , Philip Schniter , Rizwan Ahmad

Purpose: The expanded encoding model incorporates spatially- and time-varying field perturbations for correction during reconstruction. So far, these reconstructions have used the conjugate gradient method with early stopping used as…

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