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Imaging problems such as the one in nanoCT require the solution of an inverse problem, where it is often taken for granted that the forward operator, i.e., the underlying physical model, is properly known. In the present work we address the…

Self-supervised pre-training of deep learning models with contrastive learning is a widely used technique in image analysis. Current findings indicate a strong potential for contrastive pre-training on medical images. However, further…

Image and Video Processing · Electrical Eng. & Systems 2024-10-21 Daniel Wolf , Tristan Payer , Catharina Silvia Lisson , Christoph Gerhard Lisson , Meinrad Beer , Michael Götz , Timo Ropinski

Variational models for image deblurring problems typically consist of a smooth term and a potentially non-smooth convex term. A common approach to solving these problems is using proximal gradient methods. To accelerate the convergence of…

Numerical Analysis · Mathematics 2025-05-22 Stefano Aleotti , Marco Donatelli , Rolf Krause , Giuseppe Scarlato

This paper deals with tomographic image reconstruction under the situation where some of projection data bins are contaminated with abnormal data. Such situations occur in various instances of tomography. We propose a new reconstruction…

Medical Physics · Physics 2017-02-01 Hiroyuki Kudo , Keita Takaki , Fukashi Yamazaki , Takuya Nemoto

Accurate quantification in positron emission tomography (PET) is essential for accurate diagnostic results and effective treatment tracking. A major issue encountered in PET imaging is attenuation. Attenuation refers to the diminution of…

We tackle the problem of building adaptive estimation procedures for ill-posed inverse problems. For general regularization methods depending on tuning parameters, we construct a penalized method that selects the optimal smoothing sequence…

Statistics Theory · Mathematics 2008-07-31 Jean-Michel Loubes , Carenne Ludeña

In computed tomography (CT), the forward model consists of a linear Radon transform followed by an exponential nonlinearity based on the attenuation of light according to the Beer-Lambert Law. Conventional reconstruction often involves…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Sara Fridovich-Keil , Fabrizio Valdivia , Gordon Wetzstein , Benjamin Recht , Mahdi Soltanolkotabi

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…

Semiparametric accelerated failure time (AFT) models are a useful alternative to Cox proportional hazards models, especially when the assumption of constant hazard ratios is untenable. However, rank-based criteria for fitting AFT models are…

Methodology · Statistics 2022-01-20 Piotr M. Suder , Aaron J. Molstad

Thanks to its capability of acquiring full-view frames at multiple kilohertz, ultrafast ultrasound imaging unlocked the analysis of rapidly changing physical phenomena in the human body, with pioneering applications such as ultrasensitive…

Image and Video Processing · Electrical Eng. & Systems 2020-12-22 Dimitris Perdios , Manuel Vonlanthen , Florian Martinez , Marcel Arditi , Jean-Philippe Thiran

Recent technical advances lead to the coupling of PET and MRI scanners, enabling to acquire functional and anatomical data simultaneously. In this paper, we propose a tight frame based PET-MRI joint reconstruction model via the joint…

Numerical Analysis · Mathematics 2018-01-08 Jae Kyu Choi , Chenglong Bao , Xiaoqun Zhang

In this paper, we propose a framework for automatic classification of patients from multimodal genetic and brain imaging data by optimally combining them. Additive models with unadapted penalties (such as the classical group lasso penalty…

Machine Learning · Statistics 2017-10-11 Pascal Lu , Olivier Colliot

Deep learning based PET image reconstruction methods have achieved promising results recently. However, most of these methods follow a supervised learning paradigm, which rely heavily on the availability of high-quality training labels. In…

Image and Video Processing · Electrical Eng. & Systems 2023-03-13 Rui Hu , Yunmei Chen , Kyungsang Kim , Marcio Aloisio Bezerra Cavalcanti Rockenbach , Quanzheng Li , Huafeng Liu

The purpose of this study is to correct the movement errors that may occur because of the patients' movement during the CT scanning and thus, to obtain more precise CT images, additionally to investigate the possible use of Parallel Beam CT…

Medical Physics · Physics 2020-05-08 Seokhwan Yoon , Seong-Kyun Kim , Kyungtaek Jun

We propose a novel algorithm for the fitting of 3D human shape to images. Combining the accuracy and refinement capabilities of iterative gradient-based optimization techniques with the robustness of deep neural networks, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Jie Song , Xu Chen , Otmar Hilliges

Deep learning has been widely used for solving image reconstruction tasks but its deployability has been held back due to the shortage of high-quality training data. Unsupervised learning methods, such as the deep image prior (DIP),…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Riccardo Barbano , Javier Antorán , Johannes Leuschner , José Miguel Hernández-Lobato , Bangti Jin , Željko Kereta

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

Computer Vision and Pattern Recognition · Computer Science 2013-09-19 Gilles Puy , Pierre Vandergheynst

We propose the Learned Primal-Dual algorithm for tomographic reconstruction. The algorithm accounts for a (possibly non-linear) forward operator in a deep neural network by unrolling a proximal primal-dual optimization method, but where the…

Optimization and Control · Mathematics 2018-07-06 Jonas Adler , Ozan Öktem

We present two methods that combine image reconstruction and edge detection in computed tomography (CT) scans. Our first method is as an extension of the prominent filtered backprojection algorithm. In our second method we employ…

Numerical Analysis · Mathematics 2021-10-14 Jürgen Frikel , Simon Göppel , Markus Haltmeier

Among all tissue imaging modalities, photo-acoustic tomography (PAT) has been getting increasing attention in the recent past due to the fact that it has high contrast, high penetrability, and has capability of retrieving high resolution.…

Image and Video Processing · Electrical Eng. & Systems 2021-05-20 Nadaparambil Aravindakshan Rejesh , Muthuvel Arigovindan