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We introduce a novel computational framework for digital geometry processing, based upon the derivation of a nonlinear operator associated to the total variation functional. Such operator admits a generalized notion of spectral…

Graphics · Computer Science 2020-09-08 Marco Fumero , Michael Moeller , Emanuele Rodolà

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

In multiband fusion, an image with a high spatial and low spectral resolution is combined with an image with a low spatial but high spectral resolution to produce a single multiband image having high spatial and spectral resolutions. This…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Unni V. S. , Pravin Nair , Kunal N. Chaudhury

Total variation (TV) is a widely used regularizer for stabilizing the solution of ill-posed inverse problems. In this paper, we propose a novel proximal-gradient algorithm for minimizing TV regularized least-squares cost functional. Our…

Information Theory · Computer Science 2016-01-05 Ulugbek S. Kamilov

Hyperspectral image (HSI) classification is widely used for the analysis of remotely sensed images. Hyperspectral imagery includes varying bands of images. Convolutional Neural Network (CNN) is one of the most frequently used deep learning…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Swalpa Kumar Roy , Gopal Krishna , Shiv Ram Dubey , Bidyut B. Chaudhuri

In this paper, we design an efficient, multi-stage image segmentation framework that incorporates a weighted difference of anisotropic and isotropic total variation (AITV). The segmentation framework generally consists of two stages:…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

Hyperspectral super-resolution (HSR) aims at fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI). Recently, a coupled tensor factorization approach was proposed to handle this…

Signal Processing · Electrical Eng. & Systems 2019-10-24 Guoyong Zhang , Xiao Fu , Kejun Huang , Jun Wang

We present Roto-Translation Equivariant Spherical Deconvolution (RT-ESD), an $E(3)\times SO(3)$ equivariant framework for sparse deconvolution of volumes where each voxel contains a spherical signal. Such 6D data naturally arises in…

Image and Video Processing · Electrical Eng. & Systems 2023-04-14 Axel Elaldi , Guido Gerig , Neel Dey

This work aims to explore the regularity properties of the smoothed-TV regularization for the functions is of the class H\"older continuous. Over some compact and convex domain $\Omega,$ we study construction of multivariate function…

Optimization and Control · Mathematics 2015-09-08 Erdem Altuntac

Hyperspectral image (HSI) deconvolution is a challenging ill-posed inverse problem, made difficult by the data's high dimensionality.We propose a parameter-parsimonious framework based on a low-rank Canonical Polyadic Decomposition (CPD) of…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Xinjue Wang , Xiuheng Wang , Esa Ollila , Sergiy A. Vorobyov

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields. In this paper, we propose a generalized semi-sparse regularization framework for image structural analysis…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Junqing Huang , Haihui Wang , Michael Ruzhansky

Deep learning has shown great potential in accelerating diffusion tensor imaging (DTI). Nevertheless, existing methods tend to suffer from Rician noise and eddy current, leading to detail loss in reconstructing the DTI-derived parametric…

Image and Video Processing · Electrical Eng. & Systems 2024-08-21 Wenxin Fan , Jian Cheng , Cheng Li , Jing Yang , Ruoyou Wu , Juan Zou , Shanshan Wang

Single image super-resolution traditionally assumes spatially-invariant degradation models, yet real-world imaging systems exhibit complex distance-dependent effects including atmospheric scattering, depth-of-field variations, and…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Tianhao Guo , Bingjie Lu , Feng Wang , Zhengyang Lu

Integrating hyperspectral imagery (HSI) with deep neural networks (DNNs) can strengthen the accuracy of intelligent vision systems by combining spectral and spatial information, which is useful for tasks like semantic segmentation in…

Image and Video Processing · Electrical Eng. & Systems 2025-02-21 Jon Gutiérrez-Zaballa , Koldo Basterretxea , Javier Echanobe

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

Total Variation (TV) is an effective and popular prior model in the field of regularization-based image processing. This paper focuses on total variation for removing impulse noise in image restoration. This type of noise frequently arises…

Numerical Analysis · Computer Science 2018-12-31 Ganzhao Yuan , Bernard Ghanem

Differentiable rendering techniques have recently shown promising results for free-viewpoint video synthesis of characters. However, such methods, either Gaussian Splatting or neural implicit rendering, typically necessitate per-subject…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Boyao Zhou , Shunyuan Zheng , Hanzhang Tu , Ruizhi Shao , Boning Liu , Shengping Zhang , Liqiang Nie , Yebin Liu

Hyperspectral image (HSI) denoising is a crucial preprocessing procedure for the subsequent HSI applications. Unfortunately, though witnessing the development of deep learning in HSI denoising area, existing convolution-based methods face…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Miaoyu Li , Ying Fu , Yulun Zhang

Purpose: Task-based assessment of image quality in undersampled magnetic resonance imaging provides a way of evaluating the impact of regularization on task performance. In this work, we evaluated the effect of total variation (TV) and…

Medical Physics · Physics 2023-03-13 Alexandra G. O'Neill , Emely L. Valdez , Sajan Goud Lingala , Angel R. Pineda

The conjugate gradient (CG) method is commonly used for the rapid solution of least squares problems. In image reconstruction, the problem can be ill-posed and also contaminated by noise; due to this, approaches such as regularization…

Optimization and Control · Mathematics 2018-02-14 Marcelo V. W. Zibetti , Chuan Lin , Gabor T. Herman
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