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Non-Negative Matrix Factorization (NMF) is an unsupervised learning method offering low-rank representations across various domains such as audio processing, biomedical signal analysis, and image recognition. The incorporation of…

Machine Learning · Computer Science 2025-10-09 Yasaman Torabi , Shahram Shirani , James P. Reilly

Non-negative Matrix Factorization (NMF) methods offer an appealing unsupervised learning method for real-time analysis of streaming spectral data in time-sensitive data collection, such as $\textit{in situ}$ characterization of materials.…

Applied Physics · Physics 2024-06-12 Phillip M. Maffettone , Aidan C. Daly , Daniel Olds

Non-negative Matrix Factorization (NMF) is a key kernel for unsupervised dimension reduction used in a wide range of applications, including topic modeling, recommender systems and bioinformatics. Due to the compute-intensive nature of…

Machine Learning · Computer Science 2019-04-18 Gordon E. Moon , Aravind Sukumaran-Rajam , Srinivasan Parthasarathy , P. Sadayappan

In PET, the amount of relative (signal-dependent) noise present in different body regions can be significantly different and is inherently related to the number of counts present in that region. The number of counts in a region depends, in…

Image and Video Processing · Electrical Eng. & Systems 2022-12-20 Ye Li , Jianan Cui , Junyu Chen , Guodong Zeng , Scott Wollenweber , Floris Jansen , Se-In Jang , Kyungsang Kim , Kuang Gong , Quanzheng Li

Volumetric data compression is critical in fields like medical imaging, scientific simulation, and entertainment. We introduce a structure-free neural compression method combining Fourierfeature encoding with selective voxel sampling,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Leona Žůrková , Petr Strakoš , Michal Kravčenko , Tomáš Brzobohatý , Lubomír Říha

Real-time Monte Carlo denoising aims at removing severe noise under low samples per pixel (spp) in a strict time budget. Recently, kernel-prediction methods use a neural network to predict each pixel's filtering kernel and have shown a…

Graphics · Computer Science 2022-02-28 Hangming Fan , Rui Wang , Yuchi Huo , Hujun Bao

Whole-body Positron Emission Tomography (PET) registration is essential for multi-parametric tumor characterization and assessment of metastatic disease progression. In deep learning-based deformable registration, the dense displacement…

Image and Video Processing · Electrical Eng. & Systems 2026-04-28 Xiangcen Wu , Ruohua Chen , Sichun Li , Qianye Yang , Sheng Liu , Jianjun Liu , Zhaoheng Xie

Combined use of PET and dual-energy CT provides complementary information for multi-parametric imaging. PETenabled dual-energy CT combines a low-energy x-ray CT image with a high-energy &\gamma&-ray CT (GCT) image reconstructed from…

Medical Physics · Physics 2021-08-04 Siqi Li , Guobao Wang

Graph-based methods pervade the inference toolkits of numerous disciplines including sociology, biology, neuroscience, physics, chemistry, and engineering. A challenging problem encountered in this context pertains to determining the…

Machine Learning · Computer Science 2018-09-25 Daniel Romero , Vassilis N. Ioannidis , Georgios B. Giannakis

We propose a novel dynamic image reconstruction method from PET listmode data that could be particularly suited to tracking single or small numbers of cells. In contrast to conventional PET reconstruction our method combines the information…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Bernhard Schmitzer , Klaus P. Schäfers , Benedikt Wirth

Low-count positron emission tomography (LCPET) imaging can reduce patients' exposure to radiation but often suffers from increased image noise and reduced lesion detectability, necessitating effective denoising techniques. Diffusion models…

Image and Video Processing · Electrical Eng. & Systems 2025-03-24 Yinchi Zhou , Huidong Xie , Menghua Xia , Qiong Liu , Bo Zhou , Tianqi Chen , Jun Hou , Liang Guo , Xinyuan Zheng , Hanzhong Wang , Biao Li , Axel Rominger , Kuangyu Shi , Nicha C. Dvorneka , Chi Liu

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Kernel methods are a highly effective and widely used collection of modern machine learning algorithms. A fundamental limitation of virtually all such methods are computations involving the kernel matrix that naively scale quadratically…

Machine Learning · Computer Science 2021-06-09 John Paul Ryan , Sebastian Ament , Carla P. Gomes , Anil Damle

Purpose: To develop a MRI acquisition and reconstruction framework for volumetric cine visualisation of the fetal heart and great vessels in the presence of maternal and fetal motion. Methods: Four-dimensional depiction was achieved using a…

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…

Direct reconstruction methods have been developed to estimate parametric images directly from the measured PET sinograms by combining the PET imaging model and tracer kinetics in an integrated framework. Due to limited counts received,…

Image and Video Processing · Electrical Eng. & Systems 2021-06-22 Kuang Gong , Ciprian Catana , Jinyi Qi , Quanzheng Li

Positron Emission Tomography (PET) is an essential technique in many clinical applications that allows for quantitative imaging at the molecular level. This study aims to develop a denoising method using novel dilated convolutional neural…

Medical Physics · Physics 2021-01-27 Karl Spuhler , Mario Serrano-Sosa , Renee Cattell , Christine DeLorenzo , Chuan Huang

Background: Three-dimensional, whole heart, balanced steady state free precession (WH-bSSFP) sequences provide delineation of intra-cardiac and vascular anatomy. However, they have long acquisition times. Here, we propose significant speed…

Image and Video Processing · Electrical Eng. & Systems 2019-12-24 Jennifer A. Steeden , Michael Quail , Alexander Gotschy , Andreas Hauptmann , Simon Arridge , Rodney Jones , Vivek Muthurangu

Uncompressed clinical data from modern positron emission tomography (PET) scanners are very large, exceeding 350 million data points (projection bins). The last decades have seen tremendous advancements in mathematical imaging tools many of…

Medical Physics · Physics 2020-01-08 Matthias J. Ehrhardt , Pawel Markiewicz , Carola-Bibiane Schönlieb

Dynamic positron emission tomography (PET) with [$^{18}$F]FDG enables non-invasive quantification of glucose metabolism through kinetic analysis, often modelled by the two-tissue compartment model (TCKM). However, voxel-wise kinetic…

Image and Video Processing · Electrical Eng. & Systems 2025-04-25 Kartikay Tehlan , Thomas Wendler