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The low-density imaging performance of a zone plate based nano-resolution hard X-ray computed tomography (CT) system can be significantly improved by incorporating a grating-based Lau interferometer. Due to the diffraction, however, the…

Image and Video Processing · Electrical Eng. & Systems 2023-10-16 Xuebao Cai , Yuhang Tan , Ting Su , Dong Liang , Hairong Zheng , Jinyou Xu , Peiping Zhu , Yongshuai Ge

This paper investigates distributed joint source-channel coding (JSCC) for correlated image semantic transmission over wireless channels. In this setup, correlated images at different transmitters are separately encoded and transmitted…

Information Theory · Computer Science 2025-03-28 Yufei Bo , Meixia Tao

We present algorithms for the type-IV discrete cosine transform (DCT-IV) and discrete sine transform (DST-IV), as well as for the modified discrete cosine transform (MDCT) and its inverse, that achieve a lower count of real multiplications…

Data Structures and Algorithms · Computer Science 2009-01-29 Xuancheng Shao , Steven G. Johnson

This paper proposes a novel approach to spectral computed tomography (CT) material decomposition that uses the recent advances in generative diffusion models (DMs) for inverse problems. Spectral CT and more particularly photon-counting CT…

Non-line-of-Sight (NLOS) imaging systems collect light at a diffuse relay surface and input this measurement into computational algorithms that output a 3D volumetric reconstruction. These algorithms utilize the Fast Fourier Transform (FFT)…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Talha Sultan , Alex Bocchieri , Chaoying Gu , Xiaochun Liu , Pavel Polynkin , Andreas Velten

This paper proposes a class of power-of-two FFT (Fast Fourier Transform) algorithms, called AM-QFT algorithms, that contains the improved QFT (Quick Fourier Transform), an algorithm recently published, as a special case. The main idea is to…

Data Structures and Algorithms · Computer Science 2014-04-08 Lorenzo Pasquini

The discrete cosine transform (DCT) is a central tool for image and video coding because it can be related to the Karhunen-Lo\`eve transform (KLT), which is the optimal transform in terms of retained transform coefficients and data…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 A. P. Radünz , L. Portella , R. S. Oliveira , F. M. Bayer , R. J. Cintra

This work proposes an extension of the 1-D Hilbert Huang transform for the analysis of images. The proposed method consists in (i) adaptively decomposing an image into oscillating parts called intrinsic mode functions (IMFs) using a mode…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Jérémy Schmitt , Nelly Pustelnik , Pierre Borgnat , Patrick Flandrin , Laurent Condat

In medical image segmentation, particularly in UNet-like architectures, upsampling is primarily used to transform smaller feature maps into larger ones, enabling feature fusion between encoder and decoder features and supporting multi-scale…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Chengkun Sun , Jinqian Pan , Renjie Liang , Zhengkang Fan , Xin Miao , Jiang Bian , Jie Xu

A key problem in automatic analysis and understanding of scientific papers is to extract semantic information from non-textual paper components like figures, diagrams, tables, etc. Much of this work requires a very first preprocessing step:…

Computer Vision and Pattern Recognition · Computer Science 2017-08-23 Satoshi Tsutsui , David Crandall

Image compression is one of the essential methods of image processing. Its most prominent advantage is the significant reduction of image size allowing for more efficient storage and transfer. However, lossy compression is associated with…

Image and Video Processing · Electrical Eng. & Systems 2021-05-25 Patryk Najgebauer , Rafal Scherer , Leszek Rutkowski

As an increasing amount of image and video content will be analyzed by machines, there is demand for a new codec paradigm that is capable of compressing visual input primarily for the purpose of computer vision inference, while secondarily…

Image and Video Processing · Electrical Eng. & Systems 2023-01-12 Ezgi Ozyilkan , Mateen Ulhaq , Hyomin Choi , Fabien Racape

This paper deals with the highly challenging problem of reconstructing the shape of a refracting object from a single image of its resulting caustic. Due to the ubiquity of transparent refracting objects in everyday life, reconstruction of…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Marc Kassubeck , Moritz Kappel , Susana Castillo , Marcus Magnor

Optical and hybrid convolutional neural networks (CNNs) recently have become of increasing interest to achieve low-latency, low-power image classification and computer vision tasks. However, implementing optical nonlinearity is challenging,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Anna Wirth-Singh , Jinlin Xiang , Minho Choi , Johannes E. Fröch , Luocheng Huang , Shane Colburn , Eli Shlizerman , Arka Majumdar

Fourier representations play a central role in operator learning methods for partial differential equations and are increasingly being explored in quantum machine learning architectures. The classical fast Fourier transform (FFT),…

Quantum Physics · Physics 2026-03-19 Paolo Marcandelli , Stefano Mariani , Martina Siena , Stefano Markidis

This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the SU$(2)$-nonlinear Fourier transform (NFT). The theoretical underpinnings of this generalization of the conventional…

Numerical Analysis · Mathematics 2018-07-24 Vishal Vaibhav

Fast linear transforms are ubiquitous in machine learning, including the discrete Fourier transform, discrete cosine transform, and other structured transformations such as convolutions. All of these transforms can be represented by dense…

Machine Learning · Computer Science 2021-01-01 Tri Dao , Albert Gu , Matthew Eichhorn , Atri Rudra , Christopher Ré

This work demonstrates a large area process for atomically thin 2D semiconductors to unlock the technological upscale required for their commercial uptake. The new atomic layer deposition (ALD) and conversion technique yields large area…

Neural image compression methods have seen increasingly strong performance in recent years. However, they suffer orders of magnitude higher computational complexity compared to traditional codecs, which hinders their real-world deployment.…

Image and Video Processing · Electrical Eng. & Systems 2023-11-13 Yibo Yang , Stephan Mandt

Exact reconstruction of an image from measurements of its Discrete Fourier Transform (DFT) typically requires all DFT coefficients to be available. However, incorporating the prior assumption that the image contains only integer values…

Numerical Analysis · Mathematics 2026-04-16 Howard W Levinson , Isaac Viviano