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A general framework for principal component analysis (PCA) in the presence of heteroskedastic noise is introduced. We propose an algorithm called HeteroPCA, which involves iteratively imputing the diagonal entries of the sample covariance…

Statistics Theory · Mathematics 2021-04-02 Anru R. Zhang , T. Tony Cai , Yihong Wu

The advancement of imaging devices and countless images generated everyday pose an increasingly high demand on image denoising, which still remains a challenging task in terms of both effectiveness and efficiency. To improve denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-05-10 Zhaoming Kong , Fangxi Deng , Haomin Zhuang , Jun Yu , Lifang He , Xiaowei Yang

In this paper we propose a new wavelet transform applicable to functions defined on graphs, high dimensional data and networks. The proposed method generalizes the Haar-like transform proposed in [1], and it is defined via a hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Idan Ram , Michael Elad , Israel Cohen

With recent deep learning based approaches showing promising results in removing noise from images, the best denoising performance has been reported in a supervised learning setup that requires a large set of paired noisy images and ground…

Image and Video Processing · Electrical Eng. & Systems 2022-09-20 Rihuan Ke

Non-local self-similarity is well-known to be an effective prior for the image denoising problem. However, little work has been done to incorporate it in convolutional neural networks, which surpass non-local model-based methods despite…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Diego Valsesia , Giulia Fracastoro , Enrico Magli

A problem of image denoising when images are corrupted by a non-stationary noise is considered in this paper. Since in practice no a priori information on noise is available, noise statistics should be pre-estimated for image denoising. In…

Image and Video Processing · Electrical Eng. & Systems 2021-09-27 Sheyda Ghanbaralizadeh Bahnemiri , Mykola Ponomarenko , Karen Egiazarian

Increasing use of CT in modern medical practice has raised concerns over associated radiation dose. Reduction of radiation dose associated with CT can increase noise and artifacts, which can adversely affect diagnostic confidence. Denoising…

Computer Vision and Pattern Recognition · Computer Science 2017-02-24 Qingsong Yang , Pingkun Yan , Mannudeep K. Kalra , Ge Wang

Group sparse representation has shown promising results in image debulrring and image inpainting in GSR [3] , the main reason that lead to the success is by exploiting Sparsity and Nonlocal self-similarity (NSS) between patches on natural…

Computer Vision and Pattern Recognition · Computer Science 2022-12-23 Luoyu Chen , Fei Wu

A significant research problem of recent interest is the localization of targets like vessels, surgical needles, and tumors in photoacoustic (PA) images. To achieve accurate localization, a high photoacoustic signal-to-noise ratio (SNR) is…

Image and Video Processing · Electrical Eng. & Systems 2021-05-03 Amirsaeed Yazdani , Sumit Agrawal , Kerrick Johnstonbaugh , Sri-Rajasekhar Kothapalli , Vishal Monga

Image dehazing is an important task in the field of computer vision, aiming at restoring clear and detail-rich visual content from haze-affected images. However, when dealing with complex scenes, existing methods often struggle to strike a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Shuaibin Fan , Senming Zhong , Wenchao Yan , Minglong Xue

Nonlocal image representation has been successfully used in many image-related inverse problems including denoising, deblurring and deblocking. However, a majority of reconstruction methods only exploit the nonlocal self-similarity (NSS)…

Computer Vision and Pattern Recognition · Computer Science 2017-01-04 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Yechao Bai , Lan Tang

Non-local self similarity (NSS) is a powerful prior of natural images for image denoising. Most of existing denoising methods employ similar patches, which is a patch-level NSS prior. In this paper, we take one step forward by introducing a…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Yingkun Hou , Jun Xu , Mingxia Liu , Guanghai Liu , Li Liu , Fan Zhu , Ling Shao

This article describes a fast iterative algorithm for image denoising and deconvolution with signal-dependent observation noise. We use an optimization strategy based on variable splitting that adapts traditional Gaussian noise-based…

Computer Vision and Pattern Recognition · Computer Science 2012-04-16 Ayan Chakrabarti , Todd Zickler

With the advent of sophisticated cameras, the urge to capture high-quality images has grown enormous. However, the noise contamination of the images results in substandard expectations among the people; thus, image denoising is an essential…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Kelum Gajamannage , Yonggi Park , S. M. Mallikarjunaiah , Sunil Mathur

Photon-limited imaging arises when the number of photons collected by a sensor array is small relative to the number of detector elements. Photon limitations are an important concern for many applications such as spectral imaging, night…

Computer Vision and Pattern Recognition · Computer Science 2014-04-29 Joseph Salmon , Zachary Harmany , Charles-Alban Deledalle , Rebecca Willett

In this paper, we propose a novel locally statistical variational active contour model based on I-divergence-TV denoising model, which hybrides geodesic active contour (GAC) model with active contours without edges (ACWE) model, and can be…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Guangming Liu

This paper introduces the Raw Natural Image Noise Dataset (RawNIND), a diverse collection of paired raw images designed to support the development of denoising models that generalize across sensors, image development workflows, and styles.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Benoit Brummer , Christophe De Vleeschouwer

Image denoising is still a challenging issue in many computer vision sub-domains. Recent studies show that significant improvements are made possible in a supervised setting. However, few challenges, such as spatial fidelity and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Masud An Nur Islam Fahim , Nazmus Saqib , Shafkat Khan Siam , Ho Yub Jung

Haze degrades content and obscures information of images, which can negatively impact vision-based decision-making in real-time systems. In this paper, we propose an efficient fully convolutional neural network (CNN) image dehazing method…

Computer Vision and Pattern Recognition · Computer Science 2019-05-06 Peter Morales , Tzofi Klinghoffer , Seung Jae Lee

Image denoising, one of the essential inverse problems, targets to remove noise/artifacts from input images. In general, digital image denoising algorithms, executed on computers, present latency due to several iterations implemented in,…