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The graph Hilbert transform (GHT) is a key tool in constructing analytic signals and extracting envelope and phase information in graph signal processing. However, its utility is limited by confinement to the graph Fourier domain, a fixed…

Signal Processing · Electrical Eng. & Systems 2025-09-23 Daxiang Li , Zhichao Zhang

Improving the coincidence time resolution (CTR) of time-of-flight positron emission tomography (TOF-PET) systems to achieve a higher signal-to-noise ratio (SNR) gain or even direct positron emission imaging (dPEI) is of paramount importance…

We introduce a multi-windowed graph Fourier transform (MWGFT) for the joint vertex-frequency analysis of signals defined on graphs. Building on generalized translation and modulation induced by the graph Laplacian, the proposed framework…

Classical Analysis and ODEs · Mathematics 2026-01-28 Iulia Martina Bulai , Elena Cordero , Edoardo Pucci , Sandra Saliani

The windowed quadratic phase Fourier transform (WQPFT) combines the localization capabilities of windowed transforms with the phase modulation structure of the quadratic phase Fourier transform (QPFT). This paper investigates fundamental…

Functional Analysis · Mathematics 2025-07-09 Sarga Varghese , Manab Kundu

In intensive care units (ICUs), patients with complex clinical conditions require vigilant monitoring and prompt interventions. Chest X-rays (CXRs) are a vital diagnostic tool, providing insights into clinical trajectories, but their…

Transformer-based models have revolutionized the field of image super-resolution (SR) by harnessing their inherent ability to capture complex contextual features. The overlapping rectangular shifted window technique used in transformer…

Image and Video Processing · Electrical Eng. & Systems 2024-03-26 Abhisek Ray , Gaurav Kumar , Maheshkumar H. Kolekar

X-ray imaging dose from serial cone-beam CT (CBCT) scans raises a clinical concern in most image guided radiation therapy procedures. It is the goal of this paper to develop a fast GPU-based algorithm to reconstruct high quality CBCT images…

Medical Physics · Physics 2015-05-19 Xun Jia , Bin Dong , Yifei Lou , Steve B. Jiang

Multispectral image pairs can provide the combined information, making object detection applications more reliable and robust in the open world. To fully exploit the different modalities, we present a simple yet effective cross-modality…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Fang Qingyun , Han Dapeng , Wang Zhaokui

In recent years, many research achievements are made in the medical image fusion field. Medical Image fusion means that several of various modality image information is comprehended together to form one image to express its information. The…

Image and Video Processing · Electrical Eng. & Systems 2020-07-23 T Deepika

Source wavelet estimation is the key in seismic signal processing for resolving subsurface structural properties. Homomorphic deconvolution using cepstrum analysis has been an effective method for wavelet estimation for decades. In general,…

Information Theory · Computer Science 2012-06-06 K. H. Miah , R. H. Herrera , M. van der Baan , M. D. Sacchi

In this study, we propose a wideband index modulation (IM) based on circularly-shifted chirps. To derive the proposed method, we first prove that a Golay complementary pair (GCP) can be constructed by linearly combining the Fourier series…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Safi Shams Muhtasimul Hoque , Chao-Yu Chen , Alphan Sahin

Improving the resolution of magnetic resonance (MR) image data is critical to computer-aided diagnosis and brain function analysis. Higher resolution helps to capture more detailed content, but typically induces to lower signal-to-noise…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Chaowei Fang , Dingwen Zhang , Liang Wang , Yulun Zhang , Lechao Cheng , Junwei Han

Pansharpening aims to enhance remote sensing image (RSI) quality by merging high-resolution panchromatic (PAN) with multispectral (MS) images. However, prior techniques struggled to optimally fuse PAN and MS images for enhanced spatial and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Wen-Jie Shu , Hong-Xia Dou , Rui Wen , Xiao Wu , Liang-Jian Deng

Quaternion-valued signals along with quaternion Fourier transforms (QFT)provide an effective framework for vector-valued signal and image processing. However, the sampling theory of quaternion valued signals has not been well developed. In…

Functional Analysis · Mathematics 2019-03-04 Dong Cheng , Kit Ian Kou

As a multi-contrast X-ray computed tomography (CT) imaging system, the grating-based Talbot-Lau interferometer is able to generate the absorption contrast and differential phase contrast (DPC) images concurrently. However, experiments found…

Medical Physics · Physics 2024-04-16 Yuhang Tan , Jiecheng Yang , Hairong Zheng , Dong Liang , Peiping Zhu , Yongshuai Ge

Improving the spatial resolution of CT images is a meaningful yet challenging task, often accompanied by the issue of noise amplification. This article introduces an innovative framework for noise-controlled CT super-resolution utilizing…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Yuang Wang , Siyeop Yoon , Rui Hu , Baihui Yu , Duhgoon Lee , Rajiv Gupta , Li Zhang , Zhiqiang Chen , Dufan Wu

Fourier transform spectroscopy (FTS) has been widely used in a variety of fields in research, industry, and medicine due to its high signal-to-noise ratio, simultaneous acquisition of signals in a broad spectrum, and versatility for…

Fractional programming (FP) is a branch of mathematical optimization that deals with the optimization of ratios. It is an invaluable tool for signal processing and machine learning, because many key metrics in these fields are fractionally…

Information Theory · Computer Science 2025-06-03 Kaiming Shen , Wei Yu

The deployment of artificial intelligence in medical imaging is hindered by high computational complexity and resource-intensive processing of volumetric data. Although chest computed tomography (CT) volumes offer richer diagnostic…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Shadid Yousuf , S. M. Mahbubur Rahman , Mohammed Imamul Hassan Bhuiyan

A fast spectral-domain method is proposed to evaluate the reaction terms between the Macro Basis Functions in regular and non-regular arrays made of identical printed antennas. The presented technique first exploits the filtering…

Numerical Analysis · Mathematics 2014-11-20 Shambhu Nath Jha , Christophe Craeye