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We extend a recently introduced deep unrolling framework for learning spatially varying regularisation parameters in inverse imaging problems to the case of Total Generalised Variation (TGV). The framework combines a deep convolutional…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Thanh Trung Vu , Andreas Kofler , Kostas Papafitsoros

In this paper we demonstrate that the framework of nonlinear spectral decompositions based on total variation (TV) regularization is very well suited for image fusion as well as more general image manipulation tasks. The well-localized and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-24 Martin Benning , Michael Möller , Raz Z. Nossek , Martin Burger , Daniel Cremers , Guy Gilboa , Carola-Bibiane Schönlieb

This paper introduces a novel paradigm for hyperspectral image (HSI) denoising, which is termed \textit{pan-denoising}. In a given scene, panchromatic (PAN) images capture similar structures and textures to HSIs but with less noise. This…

Image and Video Processing · Electrical Eng. & Systems 2024-09-10 Shuang Xu , Qiao Ke , Jiangjun Peng , Xiangyong Cao , Zixiang Zhao

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

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…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Zhaoyang Sun , Shengwu Xiong , Ryan Wen Liu

Numerous total variation (TV) regularizers, engaged in image restoration problem, encode the gradients by means of simple $[-1,1]$ FIR filter. Despite its low computational processing, this filter severely deviates signal's high frequency…

Optimization and Control · Mathematics 2015-06-17 Mahdi S. Hosseini , Konstantinos N. Plataniotis

The proliferation of imaging devices and countless image data generated every day impose an increasingly high demand on efficient and effective image denoising. In this paper, we establish a theoretical connection between principal…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Zhaoming Kong , Xiaowei Yang , Jiahuan Zhang

Deep Learning based methods have emerged as the indisputable leaders for virtually all image restoration tasks. Especially in the domain of microscopy images, various content-aware image restoration (CARE) approaches are now used to improve…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Mangal Prakash , Alexander Krull , Florian Jug

Blind image denoising is an important yet very challenging problem in computer vision due to the complicated acquisition process of real images. In this work we propose a new variational inference method, which integrates both noise…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng

The advancement of imaging devices and countless image data generated everyday impose an increasingly high demand on efficient and effective image denoising. In this paper, we present a computationally simple denoising algorithm, termed…

Image and Video Processing · Electrical Eng. & Systems 2025-08-15 Zhaoming Kong , Jiahuan Zhang , Xiaowei Yang

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…

Machine Learning · Computer Science 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

Controllable image denoising aims to generate clean samples with human perceptual priors and balance sharpness and smoothness. In traditional filter-based denoising methods, this can be easily achieved by adjusting the filtering strength.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Zhaoyang Zhang , Yitong Jiang , Wenqi Shao , Xiaogang Wang , Ping Luo , Kaimo Lin , Jinwei Gu

Total variation (TV) is a widely used function for regularizing imaging inverse problems that is particularly appropriate for images whose underlying structure is piecewise constant. TV regularized optimization problems are typically solved…

Image and Video Processing · Electrical Eng. & Systems 2025-08-26 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov

We present a novel approach to denoising and inpainting problems for surface meshes. The purpose of these problems is to remove noise or fill in missing parts while preserving important features such as sharp edges. A discrete variant of…

Numerical Analysis · Mathematics 2025-02-03 Lukas Baumgärtner , Ronny Bergmann , Roland Herzog , Stephan Schmidt , José Vidal-Núñez , Manuel Weiß

This paper addresses the solution of inverse problems in imaging given an additional reference image. We combine a modification of the discrete geodesic path model for image metamorphosis with a variational model,actually the $L^2$-$TV$…

Numerical Analysis · Mathematics 2019-05-22 Sebastian Neumayer , Johannes Persch , Gabriele Steidl

In this paper, we introduce a total variation based variational model for denoising wrapped phase images. Our model improves on former methods by preserving discontinuities of the phase map and enforcing the fundamental Pythagorean…

Numerical Analysis · Mathematics 2023-04-07 Ivan May-Cen , Ricardo Legarda-Saenz , Carlos Brito-Loeza

Mining structural priors in data is a widely recognized technique for hyperspectral image (HSI) denoising tasks, whose typical ways include model-based methods and data-based methods. The model-based methods have good generalization…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Jiangjun Peng , Hailin Wang , Xiangyong Cao , Xinlin Liu , Xiangyu Rui , Deyu Meng

We present a novel variational approach to image restoration (e.g., denoising, inpainting, labeling) that enables to complement established variational approaches with a histogram-based prior enforcing closeness of the solution to some…

Optimization and Control · Mathematics 2013-07-18 Paul Swoboda , Christoph Schnörr

In this paper, a variational, multi-dimensional model for image reconstruction is proposed, in which the regularization term consists of the $r$-order (an)-isotropic total variation seminorms $TV^r$, with $r\in \mathbb R^+$, defined via the…

Analysis of PDEs · Mathematics 2019-01-17 Pan Liu , Xin Yang Lu

Direct Volume Rendering (DVR) using Volumetric Path Tracing (VPT) is a scientific visualization technique that simulates light transport with objects' matter using physically-based lighting models. Monte Carlo (MC) path tracing is often…

Graphics · Computer Science 2021-06-16 Jose A. Iglesias-Guitian , Prajita Mane , Bochang Moon
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