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Medical imaging is vital in computer assisted intervention. Particularly cone beam computed tomography (CBCT) with defacto real time and mobility capabilities plays an important role. However, CBCT images often suffer from artifacts, which…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Maximilian E. Tschuchnig , Philipp Steininger , Michael Gadermayr

Global backprojection-convolution (GBC) is a recently developed theory for exact reconstruction in transmission cone-beam computed tomography (CBCT). It is the first exact inversion theory that applies when the X-ray source points comprise…

Medical Physics · Physics 2025-06-16 Murdock Grewar , Glenn Myers , Andrew Kingston

Computed tomography (CT) is a widely used non-invasive diagnostic method in various fields, and recent advances in deep learning have led to significant progress in CT image reconstruction. However, the lack of large-scale, open-access…

Image and Video Processing · Electrical Eng. & Systems 2024-12-12 Maximilian B. Kiss , Ander Biguri , Zakhar Shumaylov , Ferdia Sherry , K. Joost Batenburg , Carola-Bibiane Schönlieb , Felix Lucka

This paper concerns models and convergence principles for dealing with stochasticity in a wide range of algorithms arising in nonlinear analysis and optimization in Hilbert spaces. It proposes a flexible geometric framework within which…

Optimization and Control · Mathematics 2026-02-17 Patrick L. Combettes , Javier I. Madariaga

Despite recent Multimodal Large Language Models (MLLMs)' linguistic prowess in medical diagnosis, we find even state-of-the-art MLLMs suffer from a critical perceptual deficit: geometric blindness. This failure to ground outputs in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Anglin Liu , Ruichao Chen , Yi Lu , Hongxia Xu , Jintai Chen

Dual spectral computed tomography (DSCT) can achieve energy- and material-selective images, and has a superior distinguishability of some materials than conventional single spectral computed tomography (SSCT). However, the decomposition…

Optimization and Control · Mathematics 2017-11-22 Qian Wang

Three-dimensional (3D) reconstruction of head Computed Tomography (CT) images elucidates the intricate spatial relationships of tissue structures, thereby assisting in accurate diagnosis. Nonetheless, securing an optimal head CT scan…

Computer Vision and Pattern Recognition · Computer Science 2023-09-18 Bowen Zheng , Chenxi Huang , Yuemei Luo

Metallic implants introduce severe artifacts in CT images, which degrades the image quality. It is an effective method to reduce metal artifacts by replacing the metal affected projection with the forward projection of a prior image. How to…

Medical Physics · Physics 2014-09-05 Yanbo Zhang , Xuanqian Mou

Purpose: To reconstruct artifact-free images from measured k-space data, when the actual k-space trajectory deviates from the nominal trajectory due to gradient imperfections. Methods: Trajectory errors arising from eddy currents and…

Medical Physics · Physics 2018-02-13 Merry Mani , Vincent Magnotta , Mathews Jacob

The generalized minimal residual (GMRES) algorithm is applied to image reconstruction using linear computed tomography (CT) models. The GMRES algorithm iteratively solves square, non-symmetric linear systems and it has practical application…

Medical Physics · Physics 2022-05-04 Emil Y. Sidky , Per Christian Hansen , Jakob S. Jørgensen , Xiaochuan Pan

During spinal fusion surgery, screws are placed close to critical nerves suggesting the need for highly accurate screw placement. Verifying screw placement on high-quality tomographic imaging is essential. C-arm Cone-beam CT (CBCT) provides…

Computer Vision and Pattern Recognition · Computer Science 2022-01-20 Mareike Thies , Jan-Nico Zäch , Cong Gao , Russell Taylor , Nassir Navab , Andreas Maier , Mathias Unberath

Tangential computed tomography (TCT) is a useful tool for imaging the large-diameter samples, such as oil pipelines and rockets. However, TCT projections are truncated along the detector direction, resulting in degraded slices with radial…

Image and Video Processing · Electrical Eng. & Systems 2025-05-12 Bingan Yuan , Bowei Liu , Zheng Fang

Quaternion-valued signals along with quaternion Fourier transforms (QFT)provide an effective framework for vector-valued signal and image processing. However, the sampling theory of quaternion valued signals has not been well developed. In…

Functional Analysis · Mathematics 2019-03-04 Dong Cheng , Kit Ian Kou

Sparse-View Computed Tomography (SVCT) offers low-dose and fast imaging but suffers from severe artifacts. Optimizing the sampling strategy is an essential approach to improving the imaging quality of SVCT. However, current methods…

Image and Video Processing · Electrical Eng. & Systems 2024-09-04 Liutao Yang , Jiahao Huang , Yingying Fang , Angelica I Aviles-Rivero , Carola-Bibiane Schonlieb , Daoqiang Zhang , Guang Yang

Metal artifact correction is a challenging problem in cone beam computed tomography (CBCT) scanning. Metal implants inserted into the anatomy cause severe artifacts in reconstructed images. Widely used inpainting-based metal artifact…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Harshit Agrawal , Ari Hietanen , Simo Särkkä

Rigid-motion artifacts, such as cortical bone streaking and trabecular smearing, hinder in vivo assessment of bone microstructures in high-resolution peripheral quantitative computed tomography (HR-pQCT). Despite various motion grading…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Farhan Sadik , Christopher L. Newman , Stuart J. Warden , Rachel K. Surowiec

Fitting concentric geometric objects to digitized data is an important problem in many areas such as iris detection, autonomous navigation, and industrial robotics operations. There are two common approaches to fitting geometric shapes to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Ali A. Al-Sharadqah , Lorenzo Rull

Geometric constraints between feature matches are critical in 3D point cloud registration problems. Existing approaches typically model unordered matches as a consistency graph and sample consistent matches to generate hypotheses. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Xiyu Zhang , Jiayi Ma , Jianwei Guo , Wei Hu , Zhaoshuai Qi , Fei Hui , Jiaqi Yang , Yanning Zhang

Graph convolutional networks (GCNs) have emerged as dominant methods for skeleton-based action recognition. However, they still suffer from two problems, namely, neighborhood constraints and entangled spatiotemporal feature representations.…

Computer Vision and Pattern Recognition · Computer Science 2022-01-11 Ruwen Bai , Min Li , Bo Meng , Fengfa Li , Miao Jiang , Junxing Ren , Degang Sun

Stochastic gradient descent in continuous time (SGDCT) provides a computationally efficient method for the statistical learning of continuous-time models, which are widely used in science, engineering, and finance. The SGDCT algorithm…

Probability · Mathematics 2019-06-18 Justin Sirignano , Konstantinos Spiliopoulos
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