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Recently, a large number of efficient deep learning methods for solving inverse problems have been developed and show outstanding numerical performance. For these deep learning methods, however, a solid theoretical foundation in the form of…

数值分析 · 数学 2020-02-04 Daniel Obmann , Johannes Schwab , Markus Haltmeier

The unprecedented success of image reconstruction approaches based on deep neural networks has revolutionised both the processing and the analysis paradigms in several applied disciplines. In the field of digital humanities, the task of…

计算机视觉与模式识别 · 计算机科学 2023-12-14 Fabio Merizzi , Perrine Saillard , Oceane Acquier , Elena Morotti , Elena Loli Piccolomini , Luca Calatroni , Rosa Maria Dessì

Ultrasound image reconstruction can be approximately cast as a linear inverse problem that has traditionally been solved with penalized optimization using the $l_1$ or $l_2$ norm, or wavelet-based terms. However, such regularization…

计算机视觉与模式识别 · 计算机科学 2023-08-01 Yuxin Zhang , Clément Huneau , Jérôme Idier , Diana Mateus

Image denoising is an essential part of many image processing and computer vision tasks due to inevitable noise corruption during image acquisition. Traditionally, many researchers have investigated image priors for the denoising, within…

计算机视觉与模式识别 · 计算机科学 2021-01-19 Jae Woong Soh , Nam Ik Cho

The analytical deep image prior (ADP) introduced by Dittmer et al. (2020) establishes a link between deep image priors and classical regularization theory via bilevel optimization. While this is an elegant construction, it involves…

最优化与控制 · 数学 2025-05-20 Mohammad Sadegh Salehi , Tatiana A. Bubba , Yury Korolev

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

计算机视觉与模式识别 · 计算机科学 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

Existing deep-learning based tomographic image reconstruction methods do not provide accurate estimates of reconstruction uncertainty, hindering their real-world deployment. This paper develops a method, termed as the linearised deep image…

图像与视频处理 · 电气工程与系统科学 2022-11-07 Javier Antorán , Riccardo Barbano , Johannes Leuschner , José Miguel Hernández-Lobato , Bangti Jin

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…

图像与视频处理 · 电气工程与系统科学 2022-09-20 Rihuan Ke

We present deformable unsupervised medical image registration using a randomly-initialized deep convolutional neural network (CNN) as regularization prior. Conventional registration methods predict a transformation by minimizing…

图像与视频处理 · 电气工程与系统科学 2019-08-05 Max-Heinrich Laves , Sontje Ihler , Tobias Ortmaier

Event cameras are novel bio-inspired sensors that measure per-pixel brightness differences asynchronously. Recovering brightness from events is appealing since the reconstructed images inherit the high dynamic range (HDR) and high-speed…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Zelin Zhang , Anthony Yezzi , Guillermo Gallego

The success of deep learning in computer vision is rooted in the ability of deep networks to scale up model complexity as demanded by challenging visual tasks. As complexity is increased, so is the need for large amounts of labeled data to…

计算机视觉与模式识别 · 计算机科学 2017-08-22 Gustav Larsson

Ill-posed inverse problems in imaging remain an active research topic in several decades, with new approaches constantly emerging. Recognizing that the popular dictionary learning and convolutional sparse coding are both essentially…

图像与视频处理 · 电气工程与系统科学 2019-10-25 Zhuonan He , Jinjie Zhou , Dong Liang , Yuhao Wang , Qiegen Liu

Phase retrieval is the nonlinear inverse problem of recovering a true signal from its Fourier magnitude measurements. It arises in many applications such as astronomical imaging, X-Ray crystallography, microscopy, and more. The problem is…

计算机视觉与模式识别 · 计算机科学 2023-05-11 Rohun Agrawal , Oscar Leong

In the past decade, sparsity-driven regularization has led to advancement of image reconstruction algorithms. Traditionally, such regularizers rely on analytical models of sparsity (e.g. total variation (TV)). However, more recent methods…

计算机视觉与模式识别 · 计算机科学 2018-07-04 Emrah Bostan , Ulugbek S. Kamilov , Laura Waller

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

最优化与控制 · 数学 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

Reconstructing an image from its Radon transform is a fundamental computed tomography (CT) task arising in applications such as X-ray scans. In many practical scenarios, a full 180-degree scan is not feasible, or there is a desire to reduce…

计算机视觉与模式识别 · 计算机科学 2025-02-20 Ilmari Vahteristo , Zhi-Song Liu , Andreas Rupp

Recent denoising algorithms based on the "blind-spot" strategy show impressive blind image denoising performances, without utilizing any external dataset. While the methods excel in recovering highly contaminated images, we observe that…

图像与视频处理 · 电气工程与系统科学 2022-04-07 Chaewon Kim , Jaeho Lee , Jinwoo Shin

Source device identification is an important topic in image forensics since it allows to trace back the origin of an image. Its forensics counter-part is source device anonymization, that is, to mask any trace on the image that can be…

多媒体 · 计算机科学 2021-10-19 Francesco Picetti , Sara Mandelli , Paolo Bestagini , Vincenzo Lipari , Stefano Tubaro

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

Recently, deep unfolding methods that guide the design of deep neural networks (DNNs) through iterative algorithms have received increasing attention in the field of inverse problems. Unlike general end-to-end DNNs, unfolding methods have…

最优化与控制 · 数学 2022-11-28 Zhuo-Xu Cui , Qingyong Zhu , Jing Cheng , Dong Liang