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In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled…

Other Statistics · Statistics 2016-12-23 Nileshkumar Vaishnav , Aditya Tatu

Graph summarization via node grouping is a popular method to build concise graph representations by grouping nodes from the original graph into supernodes and encoding edges into superedges such that the loss of adjacency information is…

Social and Information Networks · Computer Science 2022-11-09 Arpit Merchant , Michael Mathioudakis , Yanhao Wang

Deep-learning methods have shown promising performance for low-dose computed tomography (LDCT) reconstruction. However, supervised methods face the problem of lacking labeled data in clinical scenarios, and the CNN-based unsupervised…

Image and Video Processing · Electrical Eng. & Systems 2025-04-25 Ran An , Ke Chen , Hongwei Li

With the proliferation of sophisticated cameras in modern society, the demand for accurate and visually pleasing images is increasing. However, the quality of an image captured by a camera may be degraded by noise. Thus, some processing of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-18 Kelum Gajamannage

Proposing an effective and flexible matrix to represent a graph is a fundamental challenge that has been explored from multiple perspectives, e.g., filtering in Graph Fourier Transforms. In this work, we develop a novel and general…

Machine Learning · Computer Science 2023-05-11 Mingqi Yang , Wenjie Feng , Yanming Shen , Bryan Hooi

Despite the indispensable role of X-ray computed tomography (CT) in diagnostic medicine field, the associated ionizing radiation is still a major concern considering that it may cause genetic and cancerous diseases. Decreasing the exposure…

Image and Video Processing · Electrical Eng. & Systems 2021-06-09 Ti Bai , Dan Nguyen , Biling Wang , Steve Jiang

Inverse imaging problems are inherently under-determined, and hence it is important to employ appropriate image priors for regularization. One recent popular prior---the graph Laplacian regularizer---assumes that the target pixel patch is…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 Jiahao Pang , Gene Cheung

The present paper provides a comprehensive study of de-noising properties of frames and, in particular, tight frames, which constitute one of the most popular tools in contemporary signal processing. The objective of the paper is to bridge…

Methodology · Statistics 2013-01-18 Daniela De Canditiis , Marianna Pensky , Patrick J. Wolfe

In this paper we propose a new joint model for the reconstruction of tomography data under limited angle sampling regimes. In many applications of Tomography, e.g. Electron Microscopy and Mammography, physical limitations on acquisition…

A denoising algorithm seeks to remove noise, errors, or perturbations from a signal. Extensive research has been devoted to this arena over the last several decades, and as a result, today's denoisers can effectively remove large amounts of…

Information Theory · Computer Science 2016-04-19 Christopher A. Metzler , Arian Maleki , Richard G. Baraniuk

The non-uniform photoelectric response of infrared imaging systems results in fixed-pattern stripe noise being superimposed on infrared images, which severely reduces image quality. As the applications of degraded infrared images are…

Image and Video Processing · Electrical Eng. & Systems 2022-09-30 Zeshan Fayyaz , Daniel Platnick , Hannan Fayyaz , Nariman Farsad

This work tackles the issue of noise removal from images, focusing on the well-known DCT image denoising algorithm. The latter, stemming from signal processing, has been well studied over the years. Though very simple, it is still used in…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Sébastien Herbreteau , Charles Kervrann

Time-resolved CT is an advanced measurement technique that has been widely used to observe dynamic objects, including periodically varying structures such as hearts, lungs, or hearing structures. To reconstruct these objects from CT…

Medical Physics · Physics 2025-06-05 Qianwei Qu , Christian M. Schlepütz , Marco Stampanoni

Computed Tomography (CT) is an imaging technique where information about an object are collected at different angles (called projections or scans). Then the cross-sectional image showing the internal structure of the slice is produced by…

Image and Video Processing · Electrical Eng. & Systems 2022-09-07 Zhengchun Liu , Rajkumar Kettimuthu , Ian Foster

We present a new method to regularize graph neural networks (GNNs) for better generalization in graph classification. Observing that the omission of sub-structures does not necessarily change the class label of the whole graph, we develop…

Social and Information Networks · Computer Science 2020-09-23 Yiwei Wang , Wei Wang , Yuxuan Liang , Yujun Cai , Bryan Hooi

Denoising is one of the fundamental steps of the processing pipeline that converts data captured by a camera sensor into a display-ready image or video. It is generally performed early in the pipeline, usually before demosaicking, although…

Image and Video Processing · Electrical Eng. & Systems 2024-12-02 Marco Sánchez-Beeckman , Antoni Buades , Nicola Brandonisio , Bilel Kanoun

We show an improved parallel algorithm for decomposing an undirected unweighted graph into small diameter pieces with a small fraction of the edges in between. These decompositions form critical subroutines in a number of graph algorithms.…

Data Structures and Algorithms · Computer Science 2013-07-16 Gary L. Miller , Richard Peng , Shen Chen Xu

In this paper, we consider nonsubsampled graph filter banks (NSGFBs) to process data on a graph in a distributed manner. Given an analysis filter bank with small bandwidth, we propose algebraic and optimization methods of constructing…

Information Theory · Computer Science 2017-09-14 Junzheng Jiang , Cheng Cheng , Qiyu Sun

This paper proposes a deep learning-based denoising method for noisy low-dose computerized tomography (CT) images in the absence of paired training data. The proposed method uses a fidelity-embedded generative adversarial network (GAN) to…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Hyoung Suk Park , Jineon Baek , Sun Kyoung You , Jae Kyu Choi , Jin Keun Seo

In machine learning, graph embedding algorithms seek low-dimensional representations of the input network data, thereby allowing for downstream tasks on compressed encodings. Recently, within the framework of network renormalization,…

Physics and Society · Physics 2025-08-29 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli
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