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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

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

We present a new method for face recognition from digital images acquired under varying illumination conditions. The method is based on mathematical modeling of local gradient distributions using the Radon Cumulative Distribution Transform…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Yan Zhuang , Shiying Li , Mohammad Shifat-E-Rabbi , Xuwang Yin , Abu Hasnat Mohammad Rubaiyat , Gustavo K. Rohde

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

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

Invertible image representation methods (transforms) are routinely employed as low-level image processing operations based on which feature extraction and recognition algorithms are developed. Most transforms in current use (e.g. Fourier,…

Computer Vision and Pattern Recognition · Computer Science 2016-01-20 Soheil Kolouri , Se Rim Park , Gustavo K. Rohde

Here we describe a new image representation technique based on the mathematics of transport and optimal transport. The method relies on the combination of the well-known Radon transform for images and a recent signal representation method…

Problems with dominant advection, discontinuities, travelling features, or shape variations are widespread in computational mechanics. However, classical linear model reduction and interpolation methods typically fail to reproduce even…

Numerical Analysis · Mathematics 2025-01-03 Tobias Long , Robert Barnett , Richard Jefferson-Loveday , Giovanni Stabile , Matteo Icardi

There exist growing interests in intelligent systems for numerous medical imaging, image processing, and computer vision applications, such as face recognition, medical diagnosis, character recognition, and self-driving cars, among others.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-06 Mohammad Shifat E Rabbi , Abu Hasnat Mohammad Rubaiyat , Yan Zhuang , Gustavo K Rohde

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

This paper presents a new method to classify 1D signals using the signed cumulative distribution transform (SCDT). The proposed method exploits certain linearization properties of the SCDT to render the problem easier to solve in the SCDT…

Signal Processing · Electrical Eng. & Systems 2022-02-28 Abu Hasnat Mohammad Rubaiyat , Mohammad Shifat-E-Rabbi , Yan Zhuang , Shiying Li , Gustavo K. Rohde

Reusable model design becomes desirable with the rapid expansion of machine learning applications. In this paper, we focus on the reusability of pre-trained deep convolutional models. Specifically, different from treating pre-trained models…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Xiu-Shen Wei , Chen-Lin Zhang , Yao Li , Chen-Wei Xie , Jianxin Wu , Chunhua Shen , Zhi-Hua Zhou

With the rapid advancements in digital imaging systems and networking, low-cost hand-held image capture devices equipped with network connectivity are becoming ubiquitous. This ease of digital image capture and sharing is also accompanied…

Multimedia · Computer Science 2019-06-20 Vinay Verma , Nikita Agarwal , Nitin Khanna

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

The accuracy of deep learning (e.g., convolutional neural networks) for an image classification task critically relies on the amount of labeled training data. Aiming to solve an image classification task on a new domain that lacks labeled…

Computer Vision and Pattern Recognition · Computer Science 2019-01-01 Xianghong Fang , Haoli Bai , Ziyi Guo , Bin Shen , Steven Hoi , Zenglin Xu

In lossy image compression, the objective is to achieve minimal signal distortion while compressing images to a specified bit rate. The increasing demand for visual analysis applications, particularly in classification tasks, has emphasized…

Multimedia · Computer Science 2024-05-07 Yuefeng Zhang

This paper proposes a spatial-Radon domain CT image reconstruction model based on data-driven tight frames (SRD-DDTF). The proposed SRD-DDTF model combines the idea of joint image and Radon domain inpainting model of \cite{Dong2013X} and…

Medical Physics · Physics 2016-01-27 Ruohan Zhan , Bin Dong

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

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Tiantong Guo , Hojjat S. Mousavi , Vishal Monga

Recently, transformer networks have outperformed traditional deep neural networks in natural language processing and show a large potential in many computer vision tasks compared to convolutional backbones. In the original transformer,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Chen-Chou Lo , Patrick Vandewalle

Reusable model design becomes desirable with the rapid expansion of computer vision and machine learning applications. In this paper, we focus on the reusability of pre-trained deep convolutional models. Specifically, different from…

Computer Vision and Pattern Recognition · Computer Science 2017-07-21 Xiu-Shen Wei , Chen-Lin Zhang , Jianxin Wu , Chunhua Shen , Zhi-Hua Zhou
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