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The convergence rate is analyzed for the SpaSRA algorithm (Sparse Reconstruction by Separable Approximation) for minimizing a sum $f (\m{x}) + \psi (\m{x})$ where $f$ is smooth and $\psi$ is convex, but possibly nonsmooth. It is shown that…

最优化与控制 · 数学 2009-12-10 William Hager , Dzung Phan , Hongchao Zhang

Redshift space distortions of the matter density power spectrum carry information on the growth rate of cosmic structure but require accurate modeling of nonlinear and velocity effects on the density field. We test and advance the…

宇宙学与河外天体物理 · 物理学 2013-07-19 Alberto Vallinotto , Eric V. Linder

Recursive Bayesian filters have been widely deployed in structural system identification where output-only filters are of higher practicality. Unfortunately, the estimation obtained by instantaneous system inversion via filters can be…

应用统计 · 统计学 2024-07-30 Zihao Liu , Mohsen Ebrahimzadeh Hassanabadi , Daniel Dias-da-Costa

There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

图像与视频处理 · 电气工程与系统科学 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

We propose a variational functional and fast algorithms to reconstruct implicit surface from point cloud data with a curvature constraint. The minimizing functional balances the distance function from the point cloud and the mean curvature…

计算机视觉与模式识别 · 计算机科学 2020-09-11 Yuchen He , Sung Ha Kang , Hao Liu

Scene reconstruction has emerged as a central challenge in computer vision, with approaches such as Neural Radiance Fields (NeRF) and Gaussian Splatting achieving remarkable progress. While Gaussian Splatting demonstrates strong performance…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Alexander Valverde , Brian Xu , Yuyin Zhou , Meng Xu , Hongyun Wang

On the smallest scales, three-dimensional large-scale structure surveys contain a wealth of cosmological information which cannot be trivially extracted due to the non-linear dynamical evolution of the density field. Lagrangian perturbation…

宇宙学与河外天体物理 · 物理学 2015-08-05 Florent Leclercq , Jens Jasche , Héctor Gil-Marín , Benjamin Wandelt

We develop mask iterative hard thresholding algorithms (mask IHT and mask DORE) for sparse image reconstruction of objects with known contour. The measurements follow a noisy underdetermined linear model common in the compressive sampling…

机器学习 · 统计学 2011-12-05 Aleksandar Dogandzic , Renliang Gu , Kun Qiu

As aliasing artefacts are highly structural and non-local, many MRI reconstruction networks use pooling to enlarge filter coverage and incorporate global context. However, this inadvertently impedes fine detail recovery as downsampling…

图像与视频处理 · 电气工程与系统科学 2023-12-01 Wendi Ma , Marlon Bran Lorenzana , Wei Dai , Hongfu Sun , Shekhar S. Chandra

We develop a machine learning approach to reconstructing the cosmological initial conditions from late-time dark matter halo number density fields in redshift space, with the goal of improving sensitivity to cosmological parameters, and in…

宇宙学与河外天体物理 · 物理学 2025-08-15 Jelte Bottema , Thomas Flöss , P. Daniel Meerburg

Magnetic Resonance Imaging (MRI) is one of the fields that the compressed sensing theory is well utilized to reduce the scan time significantly leading to faster imaging or higher resolution images. It has been shown that a small fraction…

信息论 · 计算机科学 2014-06-03 Cagdas Bilen , Yao Wang , Ivan Selesnick

We present a method for dynamic surface reconstruction of large-scale urban scenes from LiDAR. Depth-based reconstructions tend to focus on small-scale objects or large-scale SLAM reconstructions that treat moving objects as outliers. We…

计算机视觉与模式识别 · 计算机科学 2025-05-07 Nathaniel Chodosh , Anish Madan , Simon Lucey , Deva Ramanan

In order to determine the 3D structure of a thick sample, researchers have recently combined ptychography (for high resolution) and tomography (for 3D imaging) in a single experiment. 2-step methods are usually adopted for reconstruction,…

图像与视频处理 · 电气工程与系统科学 2020-07-21 Huibin Chang , Pablo Enfedaque , Stefano Marchesini

Poisson Surface Reconstruction is a widely-used algorithm for reconstructing a surface from an oriented point cloud. To facilitate applications where only partial surface information is available, or scanning is performed sequentially, a…

图形学 · 计算机科学 2025-06-06 Sidhanth Holalkere , David S. Bindel , Silvia Sellán , Alexander Terenin

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

医学物理 · 物理学 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

In this paper, we present a novel reconstruction method for diffuse optical spectroscopic imaging with a commonly used tissue model of optical absorption and scattering. It is based on linearization and group sparsity, which allows…

数值分析 · 数学 2019-03-06 Habib Ammari , Bangti Jin , Wenlong Zhang

Recently Eisenstein and collaborators introduced a method to `reconstruct' the linear power spectrum from a non-linearly evolved galaxy distribution in order to improve precision in measurements of baryon acoustic oscillations. We…

天体物理学 · 物理学 2009-11-06 Nikhil Padmanabhan , Martin White , J. D. Cohn

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Ali Taimori , Farokh Marvasti

Recent contributions in the field of quantum state tomography have shown that, despite the exponential growth of Hilbert space with the number of subsystems, tomography of one-dimensional quantum systems may still be performed efficiently…

量子物理 · 物理学 2013-07-19 Tillmann Baumgratz , David Gross , Marcus Cramer , Martin B. Plenio

Due to inevitable noises introduced during scanning and quantization, 3D reconstruction via RGB-D sensors suffers from errors both in geometry and texture, leading to artifacts such as camera drifting, mesh distortion, texture ghosting, and…

计算机视觉与模式识别 · 计算机科学 2022-09-13 Jingbo Zhang , Ziyu Wan , Jing Liao