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Random Projection is a foundational research topic that connects a bunch of machine learning algorithms under a similar mathematical basis. It is used to reduce the dimensionality of the dataset by projecting the data points efficiently to…

Machine Learning · Computer Science 2017-10-10 Mahmoud Nabil

The Radon cumulative distribution transform (R-CDT) exploits one-dimensional Wasserstein transport and the Radon transform to represent prominent features in images. It is closely related to the sliced Wasserstein distance and facilitates…

Numerical Analysis · Mathematics 2024-11-26 Matthias Beckmann , Robert Beinert , Jonas Bresch

In this paper, we introduce HoughToRadon Transform layer, a novel layer designed to improve the speed of neural networks incorporated with Hough Transform to solve semantic image segmentation problems. By placing it after a Hough Transform…

Computer Vision and Pattern Recognition · Computer Science 2024-02-06 Alexandra Zhabitskaya , Alexander Sheshkus , Vladimir L. Arlazarov

Deep learning models have a large number of free parameters that must be estimated by efficient training of the models on a large number of training data samples to increase their generalization performance. In real-world applications, the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-15 Hojjat Salehinejad , Shahrokh Valaee , Timothy Dowdell , Joseph Barfett

Simulation is an invaluable tool for radio-frequency system designers that enables rapid prototyping of various algorithms for imaging, target detection, classification, and tracking. However, simulating realistic radar scans is a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-07 Tianshu Huang , John Miller , Akarsh Prabhakara , Tao Jin , Tarana Laroia , Zico Kolter , Anthony Rowe

We introduce and study a new Radon-like transform that averages projected differential p-forms in R^n over affine (n-k)-planes. We then prove an explicit inversion formula for our transform on the space of rapidly-decaying smooth p-forms.…

Differential Geometry · Mathematics 2009-08-21 Bruce Solomon

A modified Radon transform for noisy data is introduced and its inversion formula is established. The problem of recovering the multivariate probability density function $f$ from the moments of its modified Radon transform $\widehat{R}f$ is…

Functional Analysis · Mathematics 2017-01-06 Hayoung Choi , Farhad Jafari , Robert Mnatsakanov

Millimeter-wave radars are being increasingly integrated into commercial vehicles to support new advanced driver-assistance systems by enabling robust and high-performance object detection, localization, as well as recognition - a key…

Signal Processing · Electrical Eng. & Systems 2022-05-02 Xiangyu Gao , Guanbin Xing , Sumit Roy , Hui Liu

Over the past decade, reflection matrix microscopy (RMM) and advanced image reconstruction algorithms have emerged to address the fundamental imaging depth limitations of optical microscopy in thick biological tissues and complex media. In…

Optics · Physics 2024-07-03 Sungsam Kang , Seokchan Yoon , Wonshik Choi

Super-resolution reconstruction (SRR) is a process aimed at enhancing spatial resolution of images, either from a single observation, based on the learned relation between low and high resolution, or from multiple images presenting the same…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Michal Kawulok , Pawel Benecki , Szymon Piechaczek , Krzysztof Hrynczenko , Daniel Kostrzewa , Jakub Nalepa

Datasets containing geo-spatial resources are increasingly being represented according to the Linked Data principles. Several time-efficient approaches for discovering links between RDF resources have been developed over the last years.…

Databases · Computer Science 2016-11-21 Mohamed Ahmed Sherif , Kevin Dreßler , Panayiotis Smeros , Axel-Cyrille Ngonga Ngomo

A new fangled method for ship wake detection in synthetic aperture radar (SAR) images is explored here. Most of the detection procedure applies the Radon transform as its properties outfit more than any other transformation for the…

Computer Vision and Pattern Recognition · Computer Science 2009-11-04 M. Krishnaveni , Suresh Kumar Thakur , P. Subashini

The extreme popularity over the years for railway transportation urges the necessity to maintain efficient railway management systems around the globe. Even though, at present, there exist a large collection of Computer Aided Designed…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Obadage Rochana Rumalshan , Pramuka Weerasinghe , Mohamed Shaheer , Prabhath Gunathilake , Erunika Dayaratna

Resampling is an important signature of manipulated images. In this paper, we propose two methods to detect and localize image manipulations based on a combination of resampling features and deep learning. In the first method, the Radon…

The act of measuring a physical signal or field suggests a generalization of the wavelet transform that turns out to be a windowed version of the Radon transform. A reconstruction formula is derived which inverts this transform. A special…

Mathematical Physics · Physics 2007-05-23 Gerald Kaiser , R. F. Streater

This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. We show that the transform can be decomposed into the spherical Radon transform and the…

Analysis of PDEs · Mathematics 2015-01-19 Yulia Hristova , Sunghwan Moon , Dustin Steinhauer

In material testing applications, Computed Tomography is a well established imaging technique that allows the recovery of the attenuation map of an object. Conventional modalities exploit only primary radiation and although in the energy…

Medical Physics · Physics 2020-07-07 Cécilia Tarpau , Javier Cebeiro , Mai K. Nguyen , Gevneviève Rollet , Laurent Dumas

Human activity recognition and analysis has always been one of the most active areas of pattern recognition and machine intelligence, with applications in various fields, including but not limited to exertion games, surveillance, sports…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Georgios Tsatiris , Kostas Karpouzis , Stefanos Kollias

Non-destructive X-ray imaging of thruster parts and assemblies down to the scale of several micrometers is a key technology for electric propulsion research and engineering. It allows for thorough product assurance, rapid state acquisition…

Medical Physics · Physics 2024-12-06 Jörn Krenzer , Felix Reichenbach , Jochen Schein

Localization is an essential component for autonomous robots. A well-established localization approach combines ray casting with a particle filter, leading to a computationally expensive algorithm that is difficult to run on…

Data Structures and Algorithms · Computer Science 2018-03-09 Corey Walsh , Sertac Karaman