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The Radon cumulative distribution transform (R-CDT), is an easy-to-compute feature extractor that facilitates image classification tasks especially in the small data regime. It is closely related to the sliced Wasserstein distance and…

Numerical Analysis · Mathematics 2025-06-11 Matthias Beckmann , Robert Beinert , Jonas Bresch

Computer vision tasks require processing large amounts of data to perform image classification, segmentation, and feature extraction. Optical preprocessors can potentially reduce the number of floating point operations required by computer…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Maksym Zhelyeznuyakov , Johannes E. Fröch , Shane Colburn , Steven L. Brunton , Arka Majumdar

Segmentation of ultra-high resolution (UHR) images is a critical task with numerous applications, yet it poses significant challenges due to high spatial resolution and rich fine details. Recent approaches adopt a dual-branch architecture,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Haopeng Sun , Yingwei Zhang , Lumin Xu , Sheng Jin , Yiqiang Chen

Discrete Hahn polynomials (DHPs) and their moments are considered to be one of the efficient orthogonal moments and they are applied in various scientific areas such as image processing and feature extraction. Commonly, DHPs are used as…

Computer Vision and Pattern Recognition · Computer Science 2023-01-11 Basheera M. Mahmmod , Sadiq H. Abdulhussain , Tomáš Suk , Abir Hussain

Fast Hough transform is a widely used algorithm in pattern recognition. The algorithm relies on approximating lines using a specific discrete line model called dyadic lines. The worst-case deviation of a dyadic line from the ideal line it…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Gleb Smirnov , Simon Karpenko

Tomography is a central tool in medical applications, allowing doctors to investigate patients' interior features. The Radon transform (in two dimensions) is commonly used to model the measurement process in parallel-beam CT. Suitable…

Numerical Analysis · Mathematics 2026-02-27 Richard Huber

The use of digitally reconstructed radiographs (DRRs) to solve inverse problems such as slice-to-volume registration and 3D reconstruction is well-studied in preoperative settings. In intraoperative imaging, the utility of DRRs is limited…

Computer Vision and Pattern Recognition · Computer Science 2022-08-29 Vivek Gopalakrishnan , Polina Golland

Let $\mathcal R$ denote the generalized Radon transform (GRT), which integrates over a family of $N$-dimensional smooth submanifolds $\mathcal S_{\tilde y}\subset\mathcal U$, $1\le N\le n-1$, where an open set $\mathcal U\subset\mathbb R^n$…

Numerical Analysis · Mathematics 2021-02-19 Alexander Katsevich

Deep learning methods, in particular, trained Convolutional Neural Networks (CNN) have recently been shown to produce compelling results for single image Super-Resolution (SR). Invariably, a CNN is learned to map the Low Resolution (LR)…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Tiantong Guo , Hojjat S. Mousavi , Vishal Monga

Radon transform is widely used in physical and life sciences and one of its major applications is the X-ray computed tomography (X-ray CT), which is significant in modern health examination. The Radon inversion or image reconstruction is…

Computer Vision and Pattern Recognition · Computer Science 2018-08-10 Ji He , Jianhua Ma

We describe a deep high-dynamic-range (HDR) image tone mapping operator that is computationally efficient and perceptually optimized. We first decompose an HDR image into a normalized Laplacian pyramid, and use two deep neural networks…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Chenyang Le , Jiebin Yan , Yuming Fang , Kede Ma

We give algorithms with lower arithmetic operation counts for both the Walsh-Hadamard Transform (WHT) and the Discrete Fourier Transform (DFT) on inputs of power-of-2 size $N$. For the WHT, our new algorithm has an operation count of…

Data Structures and Algorithms · Computer Science 2023-06-16 Josh Alman , Kevin Rao

Deep CNNs have achieved significant successes in image processing and its applications, including single image super-resolution (SR). However, conventional methods still resort to some predetermined integer scaling factors, e.g., x2 or x4.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-22 Sanghyun Son , Kyoung Mu Lee

This paper presents an efficient algorithm of high-resolution microwave imaging based on the concept of generalized reflectivity. The contribution made in this paper is two-fold. We introduce the concept of non-parametric generalized…

Computer Vision and Pattern Recognition · Computer Science 2016-11-11 Long Gang Wang , Lianlin Li , Tie Jun Cui

The hyperbolic Radon transform is a commonly used tool in seismic processing, for instance in seismic velocity analysis, data interpolation and for multiple removal. A direct implementation by summation of traces with different moveouts is…

Numerical Analysis · Mathematics 2017-05-24 Viktor V. Nikitin , Fredrik Andersson , Marcus Carlsson , Anton A. Duchkov

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 2026-02-02 Matthias Beckmann , Robert Beinert , Jonas Bresch

High dynamic range (HDR) imaging aims to obtain a high-quality HDR image by fusing information from multiple low dynamic range (LDR) images. Numerous learning-based HDR imaging methods have been proposed to achieve this for static and…

Image and Video Processing · Electrical Eng. & Systems 2025-05-30 Yu Yuan , Yiheng Chi , Xingguang Zhang , Stanley Chan

Recently anomaly detection (AD) has become an important application for target detection in hyperspectral remotely sensed images. In many applications, in addition to high accuracy of detection we need a fast and reliable algorithm as well.…

Other Computer Science · Computer Science 2012-01-11 Mohsen Zare Baghbidi , Kamal Jamshidi , Ahmad Reza Naghsh Nilchi , Saeid Homayouni

A fast implementation of the OPED algorithm, a reconstruction algorithm for Radon data introduced recently, is proposed and tested. The new implementation uses FFT for discrete sine transform and an interpolation step. The convergence of…

Numerical Analysis · Mathematics 2007-05-23 Yuan Xu , Oleg Tischenko

Instance Search (INS) is a fundamental problem for many applications, while it is more challenging comparing to traditional image search since the relevancy is defined at the instance level. Existing works have demonstrated the success of…

Computer Vision and Pattern Recognition · Computer Science 2017-01-30 Jingkuan Song , Tao He , Lianli Gao , Xing Xu , Heng Tao Shen