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We study the impact of the 1/f noise on the PLANCK Low Frequency Instrument (LFI) osbervations (Mandolesi et al 1998) and describe a simple method for removing striping effects from the maps for a number of different scanning stategies. A…

The proximal gradient method is a generic technique introduced to tackle the non-smoothness in optimization problems, wherein the objective function is expressed as the sum of a differentiable convex part and a non-differentiable…

数值分析 · 数学 2024-01-19 Abdeslem Hafid Bentbib , Khalide Jbilou , Ridwane Tahiri

Image deconvolution is still to be a challenging ill-posed problem for recovering a clear image from a given blurry image, when the point spread function is known. Although competitive deconvolution methods are numerically impressive and…

计算机视觉与模式识别 · 计算机科学 2016-09-07 Hang Yang , Zhongbo Zhang , Yujing Guan

Most existing image denoising approaches assumed the noise to be homogeneous white Gaussian distributed with known intensity. However, in real noisy images, the noise models are usually unknown beforehand and can be much more complex. This…

计算机视觉与模式识别 · 计算机科学 2016-01-14 Fengyuan Zhu , Guangyong Chen , Jianye Hao , Pheng-Ann Heng

We consider an important class of signal processing problems where the signal of interest is known to be sparse, and can be recovered from data given auxiliary information about how the data was generated. For example, a sparse Green's…

最优化与控制 · 数学 2012-12-06 Aleksandr Y. Aravkin , Tristan van Leeuwen , Ning Tu

Although much research has been devoted to the problem of restoring Poissonian images, namely in the fields of medical and astronomical imaging, applying the state of the art regularizers (such as those based on wavelets or total variation)…

最优化与控制 · 数学 2009-05-01 Mario A. T. Figueiredo , Jose M. Bioucas-Dias

In this work, a new constrained hybrid variational deblurring model is developed by combining the non-convex first- and second-order total variation regularizers. Moreover, a box constraint is imposed on the proposed model to guarantee high…

计算机视觉与模式识别 · 计算机科学 2013-10-03 Ryan Wen Liu , Tian Xu

Diffusion models have emerged as a key pillar of foundation models in visual domains. One of their critical applications is to universally solve different downstream inverse tasks via a single diffusion prior without re-training for each…

机器学习 · 计算机科学 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

We define the object detection from imagery problem as estimating a very large but extremely sparse bounding box dependent probability distribution. Subsequently we identify a sparse distribution estimation scheme, Directed Sparse Sampling,…

计算机视觉与模式识别 · 计算机科学 2017-07-24 Lachlan Tychsen-Smith , Lars Petersson

We propose a new methodology to estimate the 3D displacement field of deformable objects from video sequences using standard monocular cameras. We solve in real time the complete (possibly visco-)hyperelasticity problem to properly describe…

计算机视觉与模式识别 · 计算机科学 2021-10-14 Alberto Badias , Iciar Alfaro , David Gonzalez , Francisco Chinesta , Elias Cueto

The most ubiquitous form of computational aberration correction for microscopy is deconvolution. However, deconvolution relies on the assumption that the point spread function is the same across the entire field-of-view. This assumption is…

Removing noise from images, a.k.a image denoising, can be a very challenging task since the type and amount of noise can greatly vary for each image due to many factors including a camera model and capturing environments. While there have…

计算机视觉与模式识别 · 计算机科学 2024-12-17 Changjin Kim , Tae Hyun Kim , Sungyong Baik

Inverse problems generally require a regularizer or prior for a good solution. A recent trend is to train a convolutional net to denoise images, and use this net as a prior when solving the inverse problem. Several proposals depend on a…

计算机视觉与模式识别 · 计算机科学 2023-07-12 Kyle Luther , H. Sebastian Seung

Non-uniform blind deblurring for general dynamic scenes is a challenging computer vision problem as blurs arise not only from multiple object motions but also from camera shake, scene depth variation. To remove these complicated motion…

计算机视觉与模式识别 · 计算机科学 2018-05-08 Seungjun Nah , Tae Hyun Kim , Kyoung Mu Lee

We propose a new solver for the sparse spikes deconvolution problem over the space of Radon measures. A common approach to off-the-grid deconvolution considers semidefinite (SDP) relaxations of the total variation (the total mass of the…

最优化与控制 · 数学 2019-03-12 Paul Catala , Vincent Duval , Gabriel Peyré

We consider linear inverse problems under white noise. These types of problems can be tackled with, e.g., iterative regularisation methods and the main challenge is to determine a suitable stopping index for the iteration. Convergence…

数值分析 · 数学 2022-05-02 Tim Jahn

The core of many approaches for the resolution of variational inverse problems arising in signal and image processing consists of promoting the sought solution to have a sparse representation in a well-suited space. A crucial task in this…

数值分析 · 数学 2022-09-07 Gabriele Scrivanti , Emilie Chouzenoux , Jean-Christophe Pesquet

Outdoor videos sometimes contain unexpected rain streaks due to the rainy weather, which bring negative effects on subsequent computer vision applications, e.g., video surveillance, object recognition and tracking, etc. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2019-02-20 Zhaoyang Sun , Shengwu Xiong , Ryan Wen Liu

Two complementary approaches have been extensively used in signal and image processing leading to novel results, the sparse representation methodology and the variational strategy. Recently, a new sparsity based model has been proposed, the…

计算机视觉与模式识别 · 计算机科学 2015-08-17 Raja Giryes , Michael Elad , Alfred M. Bruckstein

The paper introduces the weighted convolution, a novel approach to the convolution for signals defined on regular grids (e.g., 2D images) through the application of an optimal density function to scale the contribution of neighbouring…

计算机视觉与模式识别 · 计算机科学 2025-06-02 Simone Cammarasana , Giuseppe Patanè