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We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned with methods based on an unmatched projector/backprojector pair; i.e., the backprojector is not the exact…

Numerical Analysis · Mathematics 2019-02-14 Yiqiu Dong , Per Christian Hansen , Michiel E. Hochstenbach , Nicolai Andre Brogaard Riis

Incomplete multi-view clustering has become one of the important research problems due to the extensive missing multi-view data in the real world. Although the existing methods have made great progress, there are still some problems: 1)…

Machine Learning · Computer Science 2025-02-27 Guoqing Chao , Kaixin Xu , Xijiong Xie , Yongyong Chen

This paper introduces a novel method for reconstructing cone beam computed tomography (CBCT) images for arbitrary orbits using a differentiable shift-variant filtered backprojection (FBP) neural network. Traditional CBCT reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Chengze Ye , Linda-Sophie Schneider , Yipeng Sun , Mareike Thies , Siyuan Mei , Andreas Maier

Training convolutional neural networks at scale demands substantial memory, largely due to storing intermediate activations for backpropagation. Existing approaches -- such as checkpointing, invertible architectures, or gradient…

Machine Learning · Computer Science 2026-03-11 Anirudh Thatipelli , Jeffrey Sam , Mathias Louboutin , Ali Siahkoohi , Rongrong Wang , Felix J. Herrmann

We propose a new approach to constructing globally strictly convex objective functional in a 1-D inverse medium scattering problem using multi-frequency backscattering data. The global convexity of the proposed objective functional is…

Numerical Analysis · Mathematics 2024-12-20 Thanh T. Nguyen , Michael V. Klibanov

Capturing images with incorrect exposure settings fails to deliver a satisfactory visual experience. Only when the exposure is properly set, can the color and details of the images be appropriately preserved. Previous exposure correction…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Shuning Xu , Xiangyu Chen , Binbin Song , Jiantao Zhou

Computed Tomography (CT) is widely used in healthcare for detailed imaging. However, Low-dose CT, despite reducing radiation exposure, often results in images with compromised quality due to increased noise. Traditional methods, including…

Image and Video Processing · Electrical Eng. & Systems 2024-09-17 Herman Verinaz-Jadan , Su Yan

Recently, an ultra-low-cost linear scan based tomography architecture was proposed by our team. Similar to linear tomosynthesis, the source and detector are translated in opposite directions and the data acquisition system targets on a…

Medical Physics · Physics 2016-10-21 Weiwen Wu , Hengyong Yu , Shaoyu Wang , Fenglin Liu

A concise and highly performant branchless formulation of a Joseph-type interpolating ray-casting algorithm for the computation of X-ray projections is presented. It efficiently utilizes the hardware resources of modern graphics processing…

Medical Physics · Physics 2020-09-01 Jonas Graetz

Recently, a surge of high-quality 3D-aware GANs have been proposed, which leverage the generative power of neural rendering. It is natural to associate 3D GANs with GAN inversion methods to project a real image into the generator's latent…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Fei Yin , Yong Zhang , Xuan Wang , Tengfei Wang , Xiaoyu Li , Yuan Gong , Yanbo Fan , Xiaodong Cun , Ying Shan , Cengiz Oztireli , Yujiu Yang

Ill-posed linear inverse problems appear in many scientific setups, and are typically addressed by solving optimization problems, which are composed of data fidelity and prior terms. Recently, several works have considered a back-projection…

Optimization and Control · Mathematics 2021-08-10 Tom Tirer , Raja Giryes

Four-dimensional computed tomography (4DCT) is essential for medical imaging applications like radiotherapy, which demand precise respiratory motion representation. Traditional methods for reconstructing 4DCT data suffer from artifacts and…

Medical Physics · Physics 2025-07-21 Antoine De Paepe , Alexandre Bousse , Clémentine Phung-Ngoc , Dimitris Visvikis

To compute the spatially distributed dielectric constant from the backscattering data, we study a coefficient inverse problem for a 1D hyperbolic equation. To solve the inverse problem, we establish a new version of Carleman estimate and…

Numerical Analysis · Mathematics 2021-04-26 Michael V. Klibanov , Thuy T. Le , Loc H. Nguyen , Anders Sullivan , Lam Nguyen

Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of clusters to be used in GBP has remained more of an art then a…

Artificial Intelligence · Computer Science 2012-07-19 Max Welling

The key aspect of parallel-beam X-ray CT is forward and back projection, but its computational burden continues to be an obstacle for applications. We propose a method to improve the performance of related algorithms by calculating the Gram…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Ziyu Shu , Alireza Entezari

Ensuring proper generalization is a critical challenge in applying data-driven methods for solving inverse problems in imaging, as neural networks reconstructing an image must perform well across varied datasets and acquisition geometries.…

Image and Video Processing · Electrical Eng. & Systems 2025-11-18 Emilien Valat , Ozan Öktem

This paper provides a fast and patient-specific scatter artifact correction method for cone-beam computed tomography (CBCT) used in image-guided interventional procedures. Due to increased irradiated volume of interest in CBCT imaging,…

Medical Physics · Physics 2015-01-20 Wei Zhao , Stephen Brunner , Kai Niu , Sebastian Schafer , Kevin Royalty , Guang-Hong Chen

The Computed Tomography (CT) for diagnosis of lesions in human internal organs is one of the most fundamental topics in medical imaging. Low-dose CT, which offers reduced radiation exposure, is preferred over standard-dose CT, and therefore…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Wenjie Liu

Image attribute editing is a challenging problem that has been recently studied by many researchers using generative networks. The challenge is in the manipulation of selected attributes of images while preserving the other details. The…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Yahya Dogan , Hacer Yalim Keles

Convolution has been playing a prominent role in various applications in science and engineering for many years. It is the most important operation in convolutional neural networks. There has been a recent growth of interests of research in…

Machine Learning · Computer Science 2018-12-11 Stefan C. Schonsheck , Bin Dong , Rongjie Lai