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A primary interest in dynamic inverse problems is to identify the underlying temporal behaviour of the system from outside measurements. In this work we consider the case, where the target can be represented by a decomposition of spatial…

Numerical Analysis · Mathematics 2020-06-09 Simon Arridge , Pascal Fernsel , Andreas Hauptmann

Implicit neural representations (INR) have gained significant popularity for signal and image representation for many end-tasks, such as superresolution, 3D modeling, and more. Most INR architectures rely on sinusoidal positional encoding,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Rajhans Singh , Ankita Shukla , Pavan Turaga

Implicit Neural Representation (INR) has emerged as an effective method for unsupervised image denoising. However, INR models are typically overparameterized; consequently, these models are prone to overfitting during learning, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Zipei Yan , Zhengji Liu , Jizhou Li

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

Positron emission tomography (PET) reconstruction has become an ill-posed inverse problem due to low-count projection data, and a robust algorithm is urgently required to improve imaging quality. Recently, the deep image prior (DIP) has…

Image and Video Processing · Electrical Eng. & Systems 2021-11-01 Chenyu Shen , Wenjun Xia , Hongwei Ye , Mingzheng Hou , Hu Chen , Yan Liu , Jiliu Zhou , Yi Zhang

Parallel imaging is a widely-used technique to accelerate magnetic resonance imaging (MRI). However, current methods still perform poorly in reconstructing artifact-free MRI images from highly undersampled k-space data. Recently, implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-10-20 Ruimin Feng , Qing Wu , Yuyao Zhang , Hongjiang Wei

Recently, generative diffusion priors have made huge strides as inverse problem solvers, including the ability to be adapted for inference on out-of-distribution data. Concurrently, implicit neural representations (INRs) have emerged as…

Image and Video Processing · Electrical Eng. & Systems 2026-03-12 Maliha Hossain , Haley Duba-Sullivan , Amirkoushyar Ziabari

Implicit Neural Representations (INRs) employ neural networks to represent continuous functions by mapping coordinates to the corresponding values of the target function, with applications e.g., inverse graphics. However, INRs face a…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Mingze Ma , Qingtian Zhu , Yifan Zhan , Zhengwei Yin , Hongjun Wang , Yinqiang Zheng

Implicit Neural Representation (INR) is an innovative approach for representing complex shapes or objects without explicitly defining their geometry or surface structure. Instead, INR represents objects as continuous functions. Previous…

Computer Vision and Pattern Recognition · Computer Science 2024-04-25 Hanqiu Chen , Hang Yang , Stephen Fitzmeyer , Cong Hao

Referring back to the original text in the course of hierarchical learning is a common human trait that ensures the right direction of learning. The models developed based on the concept of Non-negative Matrix Factorization (NMF), in this…

Machine Learning · Computer Science 2024-05-24 Prasun Dutta , Rajat K. De

Registration networks have shown great application potentials in medical image analysis. However, supervised training methods have a great demand for large and high-quality labeled datasets, which is time-consuming and sometimes impractical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Dengqiang Jia , Shangqi Gao , Qunlong Chen , Xinzhe Luo , Xiahai Zhuang

Recently Implicit Neural Representations (INRs) gained attention as a novel and effective representation for various data types. Thus far, prior work mostly focused on optimizing their reconstruction performance. This work investigates INRs…

Image and Video Processing · Electrical Eng. & Systems 2022-08-05 Yannick Strümpler , Janis Postels , Ren Yang , Luc van Gool , Federico Tombari

Implicit neural representations (INRs) such as NeRF and SIREN encode a signal in neural network parameters and show excellent results for signal reconstruction. Using INRs for downstream tasks, such as classification, is however not…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Alexander Gielisse , Jan van Gemert

Low Dose Computed Tomography suffers from a high amount of noise and/or undersampling artefacts in the reconstructed image. In the current article, a Deep Learning technique is exploited as a regularization term for the iterative…

Image and Video Processing · Electrical Eng. & Systems 2019-06-04 Shabab Bazrafkan , Vincent Van Nieuwenhove , Joris Soons , Jan De Beenhouwer , Jan Sijbers

We present a novel graphical framework for modeling non-negative sequential data with hierarchical structure. Our model corresponds to a network of coupled non-negative matrix factorization (NMF) modules, which we refer to as a positive…

Machine Learning · Computer Science 2009-07-16 Brian K. Vogel

Dynamic computed tomography (CT) reconstruction faces significant challenges in addressing motion artifacts, particularly for nonperiodic rapid movements such as cardiac imaging with fast heart rates. Traditional methods struggle with the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Muge Du , Zhuozhao Zheng , Wenying Wang , Guotao Quan , Wuliang Shi , Le Shen , Li Zhang , Liang Li , Yinong Liu , Yuxiang Xing

Image reconstruction for positron emission tomography (PET) is challenging because of the ill-conditioned tomographic problem and low counting statistics. Kernel methods address this challenge by using kernel representation to incorporate…

Image and Video Processing · Electrical Eng. & Systems 2022-05-26 Siqi Li , Guobao Wang

Although sparse-view computed tomography (CT) has significantly reduced radiation dose, it also introduces severe artifacts which degrade the image quality. In recent years, deep learning-based methods for inverse problems have made…

Image and Video Processing · Electrical Eng. & Systems 2024-01-02 Shuo Xu , Yucheng Zhang , Gang Chen , Xincheng Xiang , Peng Cong , Yuewen Sun

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…

Positron emission tomography (PET) is widely used in various clinical applications, including cancer diagnosis, heart disease and neuro disorders. The use of radioactive tracer in PET imaging raises concerns due to the risk of radiation…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Junshen Xu , Enhao Gong , John Pauly , Greg Zaharchuk