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We develop a statistical-mechanical formulation for image restoration and error-correcting codes. These problems are shown to be equivalent to the Ising spin glass with ferromagnetic bias under random external fields. We prove that the…

无序系统与神经网络 · 物理学 2009-10-31 H. Nishimori , K. Y. M. Wong

Detection of an image boundary when the pixel intensities are measured with noise is an important problem in image segmentation, with numerous applications in medical imaging and engineering. From a statistical point of view, the challenge…

统计方法学 · 统计学 2020-12-11 Nicholas Syring , Ryan Martin

Bias field, which is caused by imperfect MR devices or imaged objects, introduces intensity inhomogeneity into MR images and degrades the performance of MR image analysis methods. Many retrospective algorithms were developed to facilitate…

图像与视频处理 · 电气工程与系统科学 2023-08-01 Dong Liang , Xingyu Qiu , Kuanquan Wang , Gongning Luo , Wei Wang , Yashu Liu

All techniques for denoising involve a notion of a true (noise-free) image, and a hypothesis space. The hypothesis space may reconstruct the image directly as a grayscale valued function, or indirectly by its Fourier or wavelet spectrum.…

图像与视频处理 · 电气工程与系统科学 2025-05-29 Sajal Chakroborty , Suddhasattwa Das

This article studies the problem of image restoration of observed images corrupted by impulse noise and mixed Gaussian impulse noise. Since the pixels damaged by impulse noise contain no information about the true image, how to find this…

最优化与控制 · 数学 2014-07-30 Ming Yan

We report on the restoration of gray-scale image when it is decomposed into a binary form before transmission. We assume that a gray-scale image expressed by a set of Q-Ising spins is first decomposed into an expression using Ising (binary)…

无序系统与神经网络 · 物理学 2009-11-07 Takashi Tadaki , Jun-ichi Inoue

We investigated the use of the Bayesian inference to restore noise-degraded images under conditions of spatially correlated noise. The generative statistical models used for the original image and the noise were assumed to obey…

无序系统与神经网络 · 物理学 2009-11-07 Jun Tsuzurugi , Masato Okada

We present a novel, general-purpose method for deconvolving and denoising images from gridded radio interferometric visibilities using Bayesian inference based on a Gaussian process model. The method automatically takes into account…

Recent denoising algorithms based on the "blind-spot" strategy show impressive blind image denoising performances, without utilizing any external dataset. While the methods excel in recovering highly contaminated images, we observe that…

图像与视频处理 · 电气工程与系统科学 2022-04-07 Chaewon Kim , Jaeho Lee , Jinwoo Shin

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the…

计算机视觉与模式识别 · 计算机科学 2010-01-06 E. Shaked , O. Michailovich

This paper investigates a fully unsupervised statistical method for edge preserving image restoration and compression using a spatial decomposition scheme. Smoothed maximum likelihood is used for local estimation of edge pixels from mixture…

统计方法学 · 统计学 2016-11-26 Kinjal Basu , Debapriya Sengupta

Radio-frequency (RF) Radiance Field reconstruction is a challenging problem. The difficulty lies in the interactions between the propagating signal and objects, such as reflections and diffraction, which are hard to model precisely,…

信号处理 · 电气工程与系统科学 2025-04-03 Chi-Shiang Gau , Xingyu Chen , Tara Javidi , Xinyu Zhang

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

计算机视觉与模式识别 · 计算机科学 2016-11-03 Reza Arablouei , Frank de Hoog

In cases in which an original image is blind, a decoding method where both the image and the messages can be estimated simultaneously is desirable. We propose a spread spectrum watermarking model with image restoration based on Bayes…

统计力学 · 物理学 2019-06-28 Masaki Kawamura , Kao Hayashi , Tatsuya Uezu , Masato Okada

Preserving details in restoring images highly corrupted by impulse noise remains a challenging problem. We proposed an algorithm based on radial basis functions (RBF) interpolation which estimates the intensities of corrupted pixels by…

多媒体 · 计算机科学 2017-02-17 Fariborz Taherkhani , Mansour Jamzad

Noisy supervision refers to supervising image restoration learning with noisy targets. It can alleviate the data collection burden and enhance the practical applicability of deep learning techniques. However, existing methods suffer from…

图像与视频处理 · 电气工程与系统科学 2025-06-03 Haosen Liu , Jiahao Liu , Shan Tan , Edmund Y. Lam

We treat an image restoration problem with a Poisson noise chan- nel using a Bayesian framework. The Poisson randomness might be appeared in observation of low contrast object in the field of imaging. The noise observation is often hard to…

计算机视觉与模式识别 · 计算机科学 2014-12-09 Hayaru Shouno

We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

应用统计 · 统计学 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

In this paper, a methodology is investigated for signal recovery in the presence of non-Gaussian noise. In contrast with regularized minimization approaches often adopted in the literature, in our algorithm the regularization parameter is…

最优化与控制 · 数学 2017-01-23 Yosra Marnissi , Yuling Zheng , Emilie Chouzenoux , Jean-Christophe Pesquet

The inherent noise in the observed (e.g., scanned) binary document image degrades the image quality and harms the compression ratio through breaking the pattern repentance and adding entropy to the document images. In this paper, we design…

计算机视觉与模式识别 · 计算机科学 2017-04-25 Yandong Guo , Cheng Lu , Jan P. Allebach , Charles A. Bouman
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