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Image restoration aims to recover high quality images from inputs degraded by various factors, such as adverse weather, blur, or low light. While recent studies have shown remarkable progress across individual or unified restoration tasks,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 I-Hsiang Chen , Isma Hadji , Enrique Sanchez , Adrian Bulat , Sy-Yen Kuo , Radu Timofte , Georgios Tzimiropoulos , Brais Martinez

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

The use of high-dimensional features has become a normal practice in many computer vision applications. The large dimension of these features is a limiting factor upon the number of data points which may be effectively stored and processed,…

Computer Vision and Pattern Recognition · Computer Science 2015-06-18 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

In this paper, we present an advanced approach to solving the inverse rig problem in blendshape animation, using high-quality corrective blendshapes. Our algorithm introduces novel enhancements in three key areas: ensuring high data…

Graphics · Computer Science 2024-01-31 Stevo Racković , Cláudia Soares , Dušan Jakovetić

This manuscript is designed to introduce students in applied mathematics and data science to the concept of regularization for ill-posed inverse problems. Construct a mathematical model that describes how an image gets blurred. Convert a…

Numerical Analysis · Mathematics 2025-05-23 Mark Embree

Super-resolution imaging aims at improving the resolution of an image by enhancing it with other images or data that might have been acquired using different imaging techniques or modalities. In this paper we consider the task of doubling,…

Data Structures and Algorithms · Computer Science 2018-11-08 Andreas Alpers , Peter Gritzmann

In this work, a method for obtaining pixel-wise error bounds in Bayesian regularization of inverse imaging problems is introduced. The proposed method employs estimates of the posterior variance together with techniques from conformal…

Computer Vision and Pattern Recognition · Computer Science 2024-08-01 Dominik Narnhofer , Andreas Habring , Martin Holler , Thomas Pock

We consider the variational reconstruction framework for inverse problems and propose to learn a data-adaptive input-convex neural network (ICNN) as the regularization functional. The ICNN-based convex regularizer is trained adversarially…

In a number of tomographic applications, data cannot be fully acquired, resulting in a severely underdetermined image reconstruction. In such cases, conventional methods lead to reconstructions with significant artifacts. To overcome these…

Numerical Analysis · Mathematics 2023-06-21 Simon Göppel , Jürgen Frikel , Markus Haltmeier

Deep Neural Networks have achieved remarkable success relying on the developing high computation capability of GPUs and large-scale datasets with increasing network depth and width in image recognition, object detection and many other…

Machine Learning · Computer Science 2020-01-08 E Zhenqian , Gao Weiguo

Theoretical guarantees for the robust solution of inverse problems have important implications for applications. To achieve both guarantees and high reconstruction quality, we propose learning a pixel-based ridge regularizer with a…

Optimization and Control · Mathematics 2025-01-07 Sebastian Neumayer , Fabian Altekrüger

A rapidly increasing portion of Internet traffic is dominated by requests from mobile devices with limited- and metered-bandwidth constraints. To satisfy these requests, it has become standard practice for websites to transmit small and…

Computer Vision and Pattern Recognition · Computer Science 2018-12-10 Shumeet Baluja , Dave Marwood , Nick Johnston , Michele Covell

Denoising is omnipresent in image processing. It is usually addressed with algorithms relying on a set of hyperparameters that control the quality of the recovered image. Manual tuning of those parameters can be a daunting task, which calls…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 Arthur Floquet , Sayantan Dutta , Emmanuel Soubies , Duong Hung Pham , Denis Kouame

Visual images corrupted by various types and levels of degradations are commonly encountered in practical image compression. However, most existing image compression methods are tailored for clean images, therefore struggling to achieve…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Huimin Zeng , Jiacheng Li , Ziqiang Zheng , Zhiwei Xiong

Inverse problems are fundamental in fields like medical imaging, geophysics, and computerized tomography, aiming to recover unknown quantities from observed data. However, these problems often lack stability due to noise and…

Numerical Analysis · Mathematics 2024-06-26 Andrea Ebner , Matthias Schwab , Markus Haltmeier

Multifarious image enhancement algorithms have been used in different applications. Still, some algorithms or modules are imperfect for practical use. When the image enhancement modules have been fixed or combined by a series of algorithms,…

Computer Vision and Pattern Recognition · Computer Science 2011-03-03 Lijun Wang , Ling Shao

Non-uniqueness and instability are characteristic features of image reconstruction processes. As a result, it is necessary to develop regularization methods that can be used to compute reliable approximate solutions. A regularization method…

Numerical Analysis · Mathematics 2022-12-16 Andrea Ebner , Markus Haltmeier

In single image deblurring, the "coarse-to-fine" scheme, i.e. gradually restoring the sharp image on different resolutions in a pyramid, is very successful in both traditional optimization-based methods and recent neural-network-based…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Xin Tao , Hongyun Gao , Yi Wang , Xiaoyong Shen , Jue Wang , Jiaya Jia

We investigate composed image retrieval with text feedback. Users gradually look for the target of interest by moving from coarse to fine-grained feedback. However, existing methods merely focus on the latter, i.e., fine-grained search, by…

Computer Vision and Pattern Recognition · Computer Science 2024-01-31 Yiyang Chen , Zhedong Zheng , Wei Ji , Leigang Qu , Tat-Seng Chua

This paper addresses the problem of super-resolution: constructing a highly resolved (HR) image from a low resolved (LR) one. Recent unsupervised approaches search the latent space of a StyleGAN pre-trained on HR images, for the image that…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Marzieh Gheisari , Auguste Genovesio