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Purpose: To develop a fast, general-purpose framework for voxelwise noise characterization in linear and nonlinear iterative MRI reconstructions, recovering the image-domain noise variance from which SNR, $g$-factor, and related…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Onat Dalmaz , Daniel Abraham , Alexander R. Toews , Akshay S. Chaudhari , Kawin Setsompop , Brian A. Hargreaves

Machine learning has achieved impressive performance in tomographic reconstruction, but supervised training requires paired measurements and ground-truth images that are often unavailable. This has motivated self-supervised approaches,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Markus Haltmeier , Lukas Neumann , Nadja Gruber , Gyeongha Hwang

Some recent methods for lossy signal and image compression store only a few selected pixels and fill in the missing structures by inpainting with a partial differential equation (PDE). Suitable operators include the Laplacian, the…

Computer Vision and Pattern Recognition · Computer Science 2015-06-16 Laurent Hoeltgen , Markus Mainberger , Sebastian Hoffmann , Joachim Weickert , Ching Hoo Tang , Simon Setzer , Daniel Johannsen , Frank Neumann , Benjamin Doerr

Strong speckle noise is inherent to optical coherence tomography (OCT) imaging and represents a significant obstacle for accurate quantitative analysis of retinal structures which is key for advances in clinical diagnosis and monitoring of…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Shijie Li , Palaiologos Alexopoulos , Anse Vellappally , Ronald Zambrano , Wollstein Gadi , Guido Gerig

We address the denoising of images contaminated with multiplicative noise, e.g. speckle noise. Classical ways to solve such problems are filtering, statistical (Bayesian) methods, variational methods, and methods that convert the…

Optimization and Control · Mathematics 2008-12-10 Sylvain Durand , Jalal Fadili , Mila Nikolova

Differentiable rendering has been widely adopted in computer graphics as a powerful approach to inverse problems, enabling efficient gradient-based optimization by differentiating the image formation process with respect to millions of…

Reconstructing spectral functions from Euclidean Green's functions is an important inverse problem in physics. The prior knowledge for specific physical systems routinely offers essential regularization schemes for solving the ill-posed…

Computational Physics · Physics 2021-12-14 Lingxiao Wang , Shuzhe Shi , Kai Zhou

In dynamic positron emission tomography (PET) reconstruction, the importance of leveraging the temporal dependence of the data has been well appreciated. Current deep-learning solutions can be categorized in two groups in the way the…

Image and Video Processing · Electrical Eng. & Systems 2024-03-13 Yubo Ye , Huafeng Liu , Linwei Wang

In this paper we study a variational problem in the space of functions of bounded Hessian. Our model constitutes a straightforward higher-order extension of the well known ROF functional (total variation minimisation) to which we add a…

Numerical Analysis · Mathematics 2013-08-09 Konstantinos Papafitsoros , Carola-Bibiane Schönlieb

Most of today's state-of-the-art methods for perspective shape from shading are modelled in terms of partial differential equations (PDEs) of Hamilton-Jacobi type. To improve the robustness of such methods w.r.t. noise and missing data,…

Computer Vision and Pattern Recognition · Computer Science 2015-07-14 Yong Chul Ju , Daniel Maurer , Michael Breuß , Andrés Bruhn

Semantic segmentation is one of the core tasks in the field of computer vision, and its goal is to accurately classify each pixel in an image. The traditional Unet model achieves efficient feature extraction and fusion through an…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Xuan Li , Quanchao Lu , Yankaiqi Li , Muqing Li , Yijiashun Qi

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

Lesion segmentation on computed tomography (CT) scans is an important step for precisely monitoring changes in lesion/tumor growth. This task, however, is very challenging since manual segmentation is prohibitively time-consuming,…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Vatsal Agarwal , Youbao Tang , Jing Xiao , Ronald M. Summers

Positron Emission Tomography (PET) is a functional imaging modality that enables the visualization of biochemical and physiological processes across various tissues. Recently, deep learning (DL)-based methods have demonstrated significant…

Image and Video Processing · Electrical Eng. & Systems 2026-01-16 Yiran Sun , Osama Mawlawi

The task of image segmentation is to classify each pixel in the image based on the appropriate label. Various deep learning approaches have been proposed for image segmentation that offers high accuracy and deep architecture. However, the…

Image and Video Processing · Electrical Eng. & Systems 2022-12-29 Lukman Hakim , Takio Kurita

Restoring images affected by various types of degradation, such as noise, blur, or improper exposure, remains a significant challenge in computer vision. While recent trends favor complex monolithic all-in-one architectures, these models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Joanna Wiekiera , Martyna Zur

This paper presents a novel method for the reconstruction of high-resolution temporal images in dynamic tomographic imaging, particularly for discrete objects with smooth boundaries that vary over time. Addressing the challenge of limited…

Image and Video Processing · Electrical Eng. & Systems 2023-11-10 Ajinkya Kadu , Felix Lucka , Kees Joost Batenburg

The estimation of motion in an image sequence is a fundamental task in image processing. Frequently, the image sequence is corrupted by noise and one simultaneously asks for the underlying motion field and a restored sequence. In smoothly…

Analysis of PDEs · Mathematics 2015-04-09 Sergio Conti , Janusz Ginster , Martin Rumpf

Purpose: To introduce a novel deep learning based approach for fast and high-quality dynamic multi-coil MR reconstruction by learning a complementary time-frequency domain network that exploits spatio-temporal correlations simultaneously…

Image and Video Processing · Electrical Eng. & Systems 2021-06-21 Chen Qin , Jinming Duan , Kerstin Hammernik , Jo Schlemper , Thomas Küstner , René Botnar , Claudia Prieto , Anthony N. Price , Joseph V. Hajnal , Daniel Rueckert

Medical image segmentation is a challenging task, particularly due to inter- and intra-observer variability, even between medical experts. In this paper, we propose a novel model, called Probabilistic Inter-Observer and iNtra-Observer…

Image and Video Processing · Electrical Eng. & Systems 2023-07-24 Arne Schmidt , Pablo Morales-Álvarez , Rafael Molina