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In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use realistic measurement protocols for practical applications,…

Numerical Analysis · Mathematics 2018-03-28 Martin Burger , Hendrik Dirks , Lena Frerking , Andreas Hauptmann , Tapio Helin , Samuli Siltanen

In the paper it is shown that there exist infinite classes of fast DFT algorithms having multiplicative complexity lower than O(NlogN), i.e. smaller than their arithmetical complexity. The derivation starts with nesting of Discrete Fourier…

Signal Processing · Electrical Eng. & Systems 2023-03-07 Ryszard Stasinski

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

An autonomous system's perception engine must provide an accurate understanding of the environment for it to make decisions. Deep learning based object detection networks experience degradation in the performance and robustness for small…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Hemant Kumawat , Saibal Mukhopadhyay

Real-world image super-resolution (Real SR) aims to generate high-fidelity, detail-rich high-resolution (HR) images from low-resolution (LR) counterparts. Existing Real SR methods primarily focus on generating details from the LR RGB…

Image and Video Processing · Electrical Eng. & Systems 2024-11-22 Long Peng , Wenbo Li , Jiaming Guo , Xin Di , Haoze Sun , Yong Li , Renjing Pei , Yang Wang , Yang Cao , Zheng-Jun Zha

The curvature regularities are well-known for providing strong priors in the continuity of edges, which have been applied to a wide range of applications in image processing and computer vision. However, these models are usually non-convex,…

Numerical Analysis · Mathematics 2019-12-03 Qiuxiang Zhong , Ke Yin , Yuping Duan

Demosaicking and denoising are the first steps of any camera image processing pipeline and are key for obtaining high quality RGB images. A promising current research trend aims at solving these two problems jointly using convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Thibaud Ehret , Axel Davy , Pablo Arias , Gabriele Facciolo

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

Object detection using aerial drone imagery has received a great deal of attention in recent years. While visible light images are adequate for detecting objects in most scenarios, thermal cameras can extend the capabilities of object…

Computer Vision and Pattern Recognition · Computer Science 2022-01-12 Lizhi Yang , Ruhang Ma , Avideh Zakhor

A set of orthonormal polynomials is proposed for image reconstruction from projection data. The relationship between the projection moments and image moments is discussed in detail, and some interesting properties are demonstrated.…

Computer Vision and Pattern Recognition · Computer Science 2014-03-14 Huazhong Shu , Jian Zhou , Guo-Niu Han , Limin M. Luo , Jean-Louis Coatrieux

In radar-camera 3D object detection, the radar point clouds are sparse and noisy, which causes difficulties in fusing camera and radar modalities. To solve this, we introduce a novel query-based detection method named Radar-Camera…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Yiheng Li , Yang Yang , Zhen Lei

In diverse microscopy modalities, sensors measure only real-valued intensities. Additionally, the sensor readouts are affected by Poissonian-distributed photon noise. Traditional restoration algorithms typically aim to minimize the mean…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Nadav Torem , Roi Ronen , Yoav Y. Schechner , Michael Elad

In this paper we present a novel radar-camera sensor fusion framework for accurate object detection and distance estimation in autonomous driving scenarios. The proposed architecture uses a middle-fusion approach to fuse the radar point…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Ramin Nabati , Hairong Qi

The purpose of this report is a study of the algebraic approach possibilities to reconstruct images. This approach is reduced to solution of the large system of linear algebraic equations. We also point out some possible further…

General Physics · Physics 2016-01-01 E. E. Libin , S. V. Chakhlov , D. Trinca

Image correction aims to adjust an input image into a visually pleasing one. Existing approaches are proposed mainly from the perspective of image pixel manipulation. They are not effective to recover the details in the under/over exposed…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Xin Yang , Ke Xu , Yibing Song , Qiang Zhang , Xiaopeng Wei , Rynson Lau

Decolorization is the process to convert a color image or video to its grayscale version, and it has received great attention in recent years. An ideal decolorization algorithm should preserve the original color contrast as much as…

Graphics · Computer Science 2014-04-23 Wei Hu , Wei Li , Fan Zhang , Qian Du

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

The Radon transform and its adjoint, the back-projection operator, can both be expressed as convolutions in log-polar coordinates. Hence, fast algorithms for the application of the operators can be constructed by using FFT, if data is…

Numerical Analysis · Mathematics 2015-06-02 Fredrik Andersson , Marcus Carlsson , Viktor V. Nikitin

Image representation is an important topic in computer vision and pattern recognition. It plays a fundamental role in a range of applications towards understanding visual contents. Moment-based image representation has been reported to be…

Computer Vision and Pattern Recognition · Computer Science 2021-11-25 Shuren Qi , Yushu Zhang , Chao Wang , Jiantao Zhou , Xiaochun Cao

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