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The concept of open weak CAD is introduced. Every open CAD is an open weak CAD. On the contrary, an open weak CAD is not necessarily an open CAD. An algorithm for computing projection polynomials of open weak CADs is proposed. The key idea…

符号计算 · 计算机科学 2019-03-28 Jingjun Han , Liyun Dai , Hoon Hong , Bican Xia

Metal artifacts in computed tomography (CT) arise from a mismatch between physics of image formation and idealized assumptions during tomographic reconstruction. These artifacts are particularly strong around metal implants, inhibiting…

图像与视频处理 · 电气工程与系统科学 2019-09-20 Jan-Nico Zaech , Cong Gao , Bastian Bier , Russell Taylor , Andreas Maier , Nassir Navab , Mathias Unberath

The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers. We show that similar methods can be used to characterize the…

In this paper we analyse convergence of projected fixed-point iteration on a Riemannian manifold of matrices with fixed rank. As a retraction method we use `projector splitting scheme'. We prove that the projector splitting scheme converges…

数值分析 · 数学 2016-04-08 Denis Kolesnikov , Ivan Oseledets

The profile of suspended silicon nitride thin films patterned with one-dimensional subwavelength grating structures is investigated using Atomic Force Microscopy. We first show that the results of the profilometry can be used as input to…

介观与纳米尺度物理 · 物理学 2021-02-18 Ali Akbar Darki , Alexios Parthenopoulos , Jens Vinge Nygaard , Aurélien Dantan

X-ray computed tomography (CT) is widely used in medical imaging, with sparse-view reconstruction offering an effective way to reduce radiation dose. However, ill-posed conditions often result in severe streak artifacts. Recent advances in…

图像与视频处理 · 电气工程与系统科学 2025-12-30 Jiashu Dong , Jiabing Xiang , Lisheng Geng , Suqing Tian , Wei Zhao

Computed Tomography (CT) takes X-ray measurements on the subjects to reconstruct tomographic images. As X-ray is radioactive, it is desirable to control the total amount of dose of X-ray for safety concerns. Therefore, we can only select a…

医学物理 · 物理学 2021-09-15 Ziju Shen , Yufei Wang , Dufan Wu , Xu Yang , Bin Dong

X-ray-induced acoustic computed tomography (XACT) as a novel imaging modality has shown great potential in applications ranging from biomedical imaging to nondestructive testing. Improving the signal-to-noise ratio and removing the…

医学物理 · 物理学 2024-04-10 Mohamed Elsayed Eldib

Evaluation of residual elastic strain within the bulk of engineering components or natural objects is a challenging task, since in general it requires mapping a six-component tensor quantity in three dimensions. A further challenge concerns…

We study inverse problems of reconstructing static and dynamic discrete structures from tomographic data (with a special focus on the `classical' task of reconstructing finite point sets in $\mathbb{R}^d$). The main emphasis is on recent…

数据结构与算法 · 计算机科学 2018-11-08 Andreas Alpers , Peter Gritzmann

We demonstrate that charged particles in a sufficiently intense standing wave are compressed toward, and oscillate synchronously at, the maxima of the electric field. This unusual trapping behaviour, which we call 'anomalous radiative…

等离子体物理 · 物理学 2014-07-09 A. Gonoskov , A. Bashinov , I. Gonoskov , C. Harvey , A. Ilderton , A. Kim , M. Marklund , G. Mourou , A. Sergeev

Computed tomography has propelled scientific advances in fields from biology to materials science. This technology allows for the elucidation of 3-dimensional internal structure by the attenuation of x-rays through an object at different…

计算机视觉与模式识别 · 计算机科学 2022-11-02 Rey Mendoza , Minh Nguyen , Judith Weng Zhu , Vincent Dumont , Talita Perciano , Juliane Mueller , Vidya Ganapati

Conebeam CT using a circular trajectory is quite often used for various applications due to its relative simple geometry. For conebeam geometry, Feldkamp, Davis and Kress algorithm is regarded as the standard reconstruction method, but this…

图像与视频处理 · 电气工程与系统科学 2020-06-04 Yoseob Han , Junyoung Kim , Jong Chul Ye

We explore the possibility of using "weak" measurements to carry out quantum state tomography. Given a certain fixed number of copies of identically prepared states of a qubit, we simulate state tomography using weak as well as projective…

量子物理 · 物理学 2014-08-06 Debmalya Das , Arvind

Segmentation of very large images is a common problem in microscopy, medical imaging or remote sensing. The problem is usually addressed by sliding window inference, which can theoretically lead to seamlessly stitched predictions. However,…

计算机视觉与模式识别 · 计算机科学 2025-03-26 Elena Buglakova , Anwai Archit , Edoardo D'Imprima , Julia Mahamid , Constantin Pape , Anna Kreshuk

The performance of an iterative reconstruction algorithm for X-ray tomography is strongly determined by the features of the used forward and backprojector. For this reason, a large number of studies has focused on the to design of…

计算机视觉与模式识别 · 计算机科学 2016-12-19 Filippo Arcadu , Marco Stampanoni , Federica Marone

Ring artifacts in X-ray micro-CT images are one of the primary causes of concern in their accurate visual interpretation and quantitative analysis. The geometry of X-ray micro-CT scanners is similar to the medical CT machines, except the…

图像与视频处理 · 电气工程与系统科学 2024-02-12 Dhruvi Shah , Shruti Mehta , Ashish Agrawal , Shishir Purohit , Bhaskar Chaudhury

This article deals with stability issues related to geodesic X-ray transforms, where an interplay between the (attenuation type) weight in the transform and the underlying geometry strongly impact whether the problem is stable or unstable.…

偏微分方程分析 · 数学 2017-08-31 Sean Holman , François Monard , Plamen Stefanov

Highly-directional image artifacts such as ion mill curtaining, mechanical scratches, or image striping from beam instability degrade the interpretability of micrographs. These unwanted, aperiodic features extend the image along a primary…

计算机视觉与模式识别 · 计算机科学 2019-06-26 Jonathan Schwartz , Yi Jiang , Yongjie Wang , Anthony Aiello , Pallab Bhattacharya , Hui Yuan , Zetian Mi , Nabil Bassim , Robert Hovden

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…

图像与视频处理 · 电气工程与系统科学 2023-10-10 Harshit Agrawal , Ari Hietanen , Simo Särkkä