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Machine learning methods rely on data. However, gathering suitable data can be challenging due to availability constraints, cost, or the need for domain expertise. Expanding datasets with additional sources is a common response to limited…

Machine Learning · Computer Science 2026-05-25 Xavier Cadet , Mateusz Nowak , Peter Chin

The inverse Radon transform allows to obtain partonic double distributions from (extended) generalized parton distributions. We express the extension of generalized parton distributions by their dual parts, generalized distribution…

High Energy Physics - Phenomenology · Physics 2019-12-30 I. R. Gabdrakhmanov , D. Müller , O. V. Teryaev

As the bridge between the analog world and digital computers, analog-to-digital converters are generally used in modern information systems such as radar, surveillance, and communications. For the configuration of analog-to-digital…

Signal Processing · Electrical Eng. & Systems 2018-10-23 Shaofu Xu , Xiuting Zou , Bowen Ma , Jianping Chen , Lei Yu , Weiwen Zou

Convolutional neural networks (CNN) have been successfully employed to tackle several remote sensing tasks such as image classification and show better performance than previous techniques. For the radar imaging community, a natural…

Signal Processing · Electrical Eng. & Systems 2018-07-03 Jingkun Gao , Bin Deng , Yuliang Qin , Hongqiang Wang , Xiang Li

Recovering a function from integrals over conical surfaces recently got significant interest. It is relevant for emission tomography with Compton cameras and other imaging applications. In this paper, we consider the weighted conical Radon…

Numerical Analysis · Mathematics 2018-12-05 Markus Haltmeier , Daniela Schiefeneder

Tomographic image reconstruction can be mapped to a problem of finding solutions to a large system of linear equations which maximize a function that includes \textit{a priori} knowledge regarding features of typical images such as…

Image and Video Processing · Electrical Eng. & Systems 2019-10-02 Anna Paola Muntoni , Rafael Díaz Hernández Rojas , Alfredo Braunstein , Andrea Pagnani , Isaac Pérez Castillo

Approximate computing has shown to provide new ways to improve performance and power consumption of error-resilient applications. While many of these applications can be found in image processing, data classification or machine learning, we…

Numerical Analysis · Computer Science 2017-03-08 Michael Lass , Thomas D. Kühne , Christian Plessl

The design of approximate adders has been widely researched to advance energy-efficient hardware for computation-intensive multimedia applications, such as image, audio, or video processing. The design of approximate adders has been widely…

Hardware Architecture · Computer Science 2025-10-24 Hasnain A. Ziad , Ashiq A. Sakib

We propose a principled convolutional neural pyramid (CNP) framework for general low-level vision and image processing tasks. It is based on the essential finding that many applications require large receptive fields for structure…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Xiaoyong Shen , Ying-Cong Chen , Xin Tao , Jiaya Jia

The modern imaging techniques of Positron Emission Tomography and of Single Photon Emission Computed Tomography are not only two of the most important tools for studying the functional characteristics of the brain, but they now also play a…

Medical Physics · Physics 2007-05-23 A. S. Fokas , A. Iserles , V. Marinakis

We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas explicitly expressing solution of this problem in terms of the…

Analysis of PDEs · Mathematics 2018-08-01 Ngoc Do , Leonid Kunyansky

The Radon transform Rf of functions f on SO(3) has recently been applied extensively in texture analysis, i.e. the analysis of preferred crystallographic orientation. In practice one has to determine the orientation probability density…

Functional Analysis · Mathematics 2014-03-07 Swanhild Bernstein , Svend Ebert , Isaac Z. Pesenson

Neural rendering is a new image and video generation method based on deep learning. It combines the deep learning model with the physical knowledge of computer graphics, to obtain a controllable and realistic scene model, and realize the…

Graphics · Computer Science 2024-02-02 Xinkai Yan , Jieting Xu , Yuchi Huo , Hujun Bao

The two-dimensional Radon transform of the Wigner quasiprobability is introduced in canonical form and the functions playing a role in its inversion are discussed. The transformation properties of this Radon transform with respect to…

Quantum Physics · Physics 2016-06-29 Alfred Wünsche

In many practical problems it is not necessary to compute the DFT in a perfect manner including some radar problems. In this article a new multiplication free algorithm for approximate computation of the DFT is introduced. All…

Computational Complexity · Computer Science 2014-02-05 Alican Bozkurt , Musa Tunç Arslan , Rasim Akin Sevimli , Cem Emre Akbas , A. Enis Çetin

The aim of this paper is to present inversion methods for the classical Radon transform which is defined on a family of $k$ dimensional planes in $\Bbb R^{n}$ where $1\leq k\leq n - 2$. For these values of $k$ the dimension of the set…

Analysis of PDEs · Mathematics 2018-01-26 Yehonatan Salman

Deep convolutional neural networks (CNNs) are broadly considered to be state-of-the-art generic end-to-end image classification systems. However, they are known to underperform when training data are limited and thus require data…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Mohammad Shifat E Rabbi , Yan Zhuang , Shiying Li , Abu Hasnat Mohammad Rubaiyat , Xuwang Yin , Gustavo K. Rohde

Recent advances in scanning transmission electron and scanning probe microscopies have opened exciting opportunities in probing the materials structural parameters and various functional properties in real space with angstrom-level…

Rendering on conventional computers is capable of generating realistic imagery, but the computational complexity of these light transport algorithms is a limiting factor of image synthesis. Quantum computers have the potential to…

Graphics · Computer Science 2022-04-28 Luís Paulo Santos , Thomas Bashford-Rogers , João Barbosa , Paul Navrátil

We interpret the setting for a Radon transform as a submanifold of the space of generalized functions, and compute its extrinsic curvature: it is the Hessian composed with the Radon transform.

Differential Geometry · Mathematics 2012-05-30 Peter W. Michor