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The reconstruction of an object's shape or surface from a set of 3D points plays an important role in medical image analysis, e.g. in anatomy reconstruction from tomographic measurements or in the process of aligning intra-operative…

Computer Vision and Pattern Recognition · Computer Science 2017-02-16 Florian Bernard , Luis Salamanca , Johan Thunberg , Alexander Tack , Dennis Jentsch , Hans Lamecker , Stefan Zachow , Frank Hertel , Jorge Goncalves , Peter Gemmar

Cardiac computed tomography (CT) has emerged as a major imaging modality for the diagnosis and monitoring of cardiovascular diseases. High temporal resolution is essential to ensure diagnostic accuracy. Limited-angle data acquisition can…

Image and Video Processing · Electrical Eng. & Systems 2025-03-12 Shuo Han , Yongshun Xu , Dayang Wang , Bahareh Morovati , Li Zhou , Jonathan S. Maltz , Ge Wang , Hengyong Yu

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

Reconstructing medical images from partial measurements is an important inverse problem in Computed Tomography (CT) and Magnetic Resonance Imaging (MRI). Existing solutions based on machine learning typically train a model to directly map…

Image and Video Processing · Electrical Eng. & Systems 2022-06-17 Yang Song , Liyue Shen , Lei Xing , Stefano Ermon

Positron emission tomography (PET) is widely used for clinical diagnosis. As PET suffers from low resolution and high noise, numerous efforts try to incorporate anatomical priors into PET image reconstruction, especially with the…

Medical Physics · Physics 2019-12-17 Nuobei Xie , Kuang Gong , Ning Guo , Zhixin Qin , Zhifang Wu , Huafeng Liu , Quanzheng Li

Using recent advances in generative artificial intelligence (AI) brought by diffusion models, this paper introduces a new synergistic method for spectral computed tomography (CT) reconstruction. Diffusion models define a neural network to…

Diffusion models have shown great promise in medical image denoising and reconstruction, but their application to Positron Emission Tomography (PET) imaging remains limited by tracer-specific contrast variability and high computational…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Fumio Hashimoto , Kuang Gong

An image or volume of interest in positron emission tomography (PET) is reconstructed from pairs of gamma rays emitted from a radioactive substance. Many image reconstruction methods are based on estimation of pixels or voxels on some…

Signal Processing · Electrical Eng. & Systems 2019-06-18 Azra Tafro , Damir Seršić , Ana Sović Kržić

Deep image prior (DIP) has recently attracted attention owing to its unsupervised positron emission tomography (PET) image reconstruction, which does not require any prior training dataset. In this paper, we present the first attempt to…

Medical Physics · Physics 2023-08-08 Fumio Hashimoto , Yuya Onishi , Kibo Ote , Hideaki Tashima , Taiga Yamaya

Score-based Generative Models (SGMs) have demonstrated exceptional synthesis outcomes across various tasks. However, the current design landscape of the forward diffusion process remains largely untapped and often relies on physical…

Machine Learning · Computer Science 2023-10-13 Kushagra Pandey , Stephan Mandt

Machine learning models are commonly trained end-to-end and in a supervised setting, using paired (input, output) data. Examples include recent super-resolution methods that train on pairs of (low-resolution, high-resolution) images.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Razvan V Marinescu , Daniel Moyer , Polina Golland

To acquire high-quality positron emission tomography (PET) images while reducing the radiation tracer dose, numerous efforts have been devoted to reconstructing standard-dose PET (SPET) images from low-dose PET (LPET). However, the success…

Image and Video Processing · Electrical Eng. & Systems 2024-07-31 Jiaqi Cui , Pinxian Zeng , Yuanyuan Xu , Xi Wu , Jiliu Zhou , Yan Wang

Score-based generative models (SGMs) are a recent breakthrough in generating fake images. SGMs are known to surpass other generative models, e.g., generative adversarial networks (GANs) and variational autoencoders (VAEs). Being inspired by…

Machine Learning · Computer Science 2022-06-20 Jayoung Kim , Chaejeong Lee , Yehjin Shin , Sewon Park , Minjung Kim , Noseong Park , Jihoon Cho

Score-based generative models (SGMs) have recently emerged as a promising class of generative models. The key idea is to produce high-quality images by recurrently adding Gaussian noises and gradients to a Gaussian sample until converging…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Hengyuan Ma , Li Zhang , Xiatian Zhu , Jingfeng Zhang , Jianfeng Feng

Score-based diffusion models demonstrate superior performance in generative tasks but encounter fundamental bottlenecks in inverse problems due to the analytical intractability of the time-dependent likelihood score. To bridge this gap, we…

Optimization and Control · Mathematics 2026-05-28 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

The radiation dose in computed tomography (CT) examinations is harmful for patients but can be significantly reduced by intuitively decreasing the number of projection views. Reducing projection views usually leads to severe aliasing…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Bing Guan , Cailian Yang , Liu Zhang , Shanzhou Niu , Minghui Zhang , Yuhao Wang , Weiwen Wu , Qiegen Liu

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

Score-based generative modeling (SGM) is a highly successful approach for learning a probability distribution from data and generating further samples. We prove the first polynomial convergence guarantees for the core mechanic behind SGM:…

Machine Learning · Computer Science 2023-05-04 Holden Lee , Jianfeng Lu , Yixin Tan

Historically, patient datasets have been used to develop and validate various reconstruction algorithms for PET/MRI and PET/CT. To enable such algorithm development, without the need for acquiring hundreds of patient exams, in this paper we…

Positron emission tomography (PET) reconstruction is a critical challenge in molecular imaging, often hampered by noise amplification, structural blurring, and detail loss due to sparse sampling and the ill-posed nature of inverse problems.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Mengxiao Geng , Zijie Chen , Ran Hong , Bingxuan Li , Qiegen Liu