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In this paper, we provide a precise mathematical model of crystal-to-crystal response which is used to generate the white image - a necessary compensation model needed to overcome the physical limitations of the PET scanner. We present a…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Tomislav Matulić , Damir Seršić

In the past decades, Computed Tomography (CT) has established itself as one of the most important imaging techniques in medicine. Today, the applicability of CT is only limited by the deposited radiation dose, reduction of which manifests…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Martin Zach , Erich Kobler , Thomas Pock

In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks and cascaded…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Andreas Kofler , Markus Haltmeier , Tobias Schaeffter , Marc Kachelrieß , Marc Dewey , Christian Wald , Christoph Kolbitsch

In the last years, the design of image reconstruction methods in the field of quantitative Magnetic Resonance Imaging (qMRI) has experienced a paradigm shift. Often, when dealing with (quantitative) MR image reconstruction problems, one is…

Optimization and Control · Mathematics 2024-03-01 Andreas Kofler , Felix Frederik Zimmermann , Kostas Papafitsoros

For data-driven iterative learning control (ILC) methods, both the model estimation and controller design problems are converted to parameter estimation problems for some chosen model structures. It is well-known that if the model order is…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Xian Yu , Xiaozhu Fang , Biqiang Mu , Tianshi Chen

In this paper, we are interested in constructing general graph-based regularizers for multiple kernel learning (MKL) given a structure which is used to describe the way of combining basis kernels. Such structures are represented by…

Machine Learning · Statistics 2014-02-14 Ziming Zhang

Latent variable models are a fundamental modeling tool in machine learning applications, but they present significant computational and analytical challenges. The popular EM algorithm and its variants, is a much used algorithmic tool; yet…

Machine Learning · Computer Science 2015-12-08 Xinyang Yi , Constantine Caramanis

There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

Multi-energy CT takes advantage of the non-linearly varying attenuation properties of elemental media with respect to energy, enabling more precise material identification than single-energy CT. The increased precision comes with the cost…

Medical Physics · Physics 2020-02-14 Jussi Toivanen , Alexander Meaney , Samuli Siltanen , Ville Kolehmainen

Through one decade's development, the kernel-based regularization method (KRM) has become a complement to the classical maximum likelihood/prediction error method and an emerging new system identification paradigm. One recent example is its…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Xiaozhu Fang , Tianshi Chen

Expectation-maximization (EM) is a popular and well-established method for image reconstruction in positron emission tomography (PET) but it often suffers from slow convergence. Ordered subset EM (OSEM) is an effective reconstruction…

Medical Physics · Physics 2021-11-17 Zeljko Kereta , Robert Twyman , Simon Arridge , Kris Thielemans , Bangti Jin

How to obtain the desirable representation of a 3D shape is a key challenge in 3D shape retrieval task. Most existing 3D shape retrieval methods focus on capturing shape representation with different neural network architectures, while the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Zhaoqun Li

Kernelization investigates exact preprocessing algorithms with performance guarantees. The most prevalent type of parameters used in kernelization is the solution size for optimization problems; however, also structural parameters have been…

Data Structures and Algorithms · Computer Science 2015-07-21 Eduard Eiben , Robert Ganian , Stefan Szeider

Expectation maximisation (EM) is an unsupervised learning method for estimating the parameters of a finite mixture distribution. It works by introducing "hidden" or "latent" variables via Baum's auxiliary function $Q$ that allow the joint…

Machine Learning · Computer Science 2022-05-19 Graham W. Pulford

We review current methods for building PSF-matching kernels for the purposes of image subtraction or coaddition. Such methods use a linear decomposition of the kernel on a series of basis functions. The correct choice of these basis…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 A. C. Becker , D. Homrighausen , A. J. Connolly , C. R. Genovese , R. Owen , S. J. Bickerton , R. H. Lupton

We present a reconstruction method involving maximum-likelihood expectation maximization (MLEM) to model Poisson noise as applied to fluorescence molecular tomography (FMT). MLEM is initialized with the output from a sparse…

Medical Physics · Physics 2018-04-03 Yansong Zhu , Abhinav K. Jha , Dean F. Wong , Arman Rahmim

Modern deep neural networks achieved remarkable progress in medical image segmentation tasks. However, it has recently been observed that they tend to produce overconfident estimates, even in situations of high uncertainty, leading to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Agostina Larrazabal , Cesar Martinez , Jose Dolz , Enzo Ferrante

Many scientific computing problems can be reduced to Matrix-Matrix Multiplications (MMM), making the General Matrix Multiply (GEMM) kernels in the Basic Linear Algebra Subroutine (BLAS) of interest to the high-performance computing…

Hardware Architecture · Computer Science 2023-05-31 Louis Ledoux , Marc Casas

We introduce a regularization loss based on kernel mean embeddings with rotation-invariant kernels on the hypersphere (also known as dot-product kernels) for self-supervised learning of image representations. Besides being fully competitive…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Léon Zheng , Gilles Puy , Elisa Riccietti , Patrick Pérez , Rémi Gribonval

Meta-learning has recently been an emerging data-efficient learning technique for various medical imaging operations and has helped advance contemporary deep learning models. Furthermore, meta-learning enhances the knowledge generalization…

Image and Video Processing · Electrical Eng. & Systems 2023-07-14 Sriprabha Ramanarayanan , Arun Palla , Keerthi Ram , Mohanasankar Sivaprakasam