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In image compression, classical block-based separable transforms tend to be inefficient when image blocks contain arbitrarily shaped discontinuities. For this reason, transforms incorporating directional information are an appealing…

Information Theory · Computer Science 2018-10-24 Giulia Fracastoro , Sophie Marie Fosson , Enrico Magli

Video processing systems such as HEVC requiring low energy consumption needed for the multimedia market has lead to extensive development in fast algorithms for the efficient approximation of 2-D DCT transforms. The DCT is employed in a…

Multimedia · Computer Science 2015-01-14 U. S. Potluri , A. Madanayake , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Edirisuriya

We consider lossless compression based on statistical data modeling followed by prediction-based encoding, where an accurate statistical model for the input data leads to substantial improvements in compression. We propose DZip, a…

Machine Learning · Computer Science 2020-09-21 Mohit Goyal , Kedar Tatwawadi , Shubham Chandak , Idoia Ochoa

A multiplierless pruned approximate 8-point discrete cosine transform (DCT) requiring only 10 additions is introduced. The proposed algorithm was assessed in image and video compression, showing competitive performance with state-of-the-art…

Multimedia · Computer Science 2016-12-13 V. A. Coutinho , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Madanayake

Deep neural networks (DNNs) have enabled impressive breakthroughs in various artificial intelligence (AI) applications recently due to its capability of learning high-level features from big data. However, the current demand of DNNs for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Bijiao Wu , Dingheng Wang , Guangshe Zhao , Lei Deng , Guoqi Li

A new transform over finite fields, the finite field Hartley transform (FFHT), was recently introduced and a number of promising applications on the design of efficient multiple access systems and multilevel spread spectrum sequences were…

Numerical Analysis · Computer Science 2015-02-06 H. M. de Oliveira , R. G. F. Távora , R. J. Cintra , R. M. Campello de Souza

Recent expansions in multimedia devices gather enormous amounts of real-time images for processing and inference. The images are first compressed using compression schemes, like JPEG, to reduce storage costs and power for transmitting the…

Image and Video Processing · Electrical Eng. & Systems 2024-06-25 Ming-Che Li , Archisman Ghosh , Shreyas Sen

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

This paper develops a constructive numerical scheme for Fourier-Bessel approximations on disks compatible with convolutions supported on disks. We address accurate finite Fourier-Bessel transforms (FFBT) and inverse finite Fourier-Bessel…

Numerical Analysis · Mathematics 2023-11-08 Arash Ghaani Farashahi , Gregory S. Chirikjian

The Kaczmarz method (KZ) and its variants, which are types of stochastic gradient descent (SGD) methods, have been extensively studied due to their simplicity and efficiency in solving linear equation systems. The iterative thresholding…

Machine Learning · Statistics 2023-04-21 Halyun Jeong , Deanna Needell

Holotomography (HT) is a label-free, three-dimensional imaging technique that captures refractive index distributions of biological samples at sub-micron resolution. As modern HT systems enable high-throughput and large-scale acquisition,…

Optics · Physics 2025-03-25 Dohyeon Lee , Juyeon Park , Juheon Lee , Chungha Lee , YongKeun Park

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

In this work, we present a comparison between two techniques of image compression. In the first case, the image is divided in blocks which are collected according to zig-zag scan. In the second one, we apply the Fast Cosine Transform to the…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Mario Mastriani , Juliana Gambini

Convolutional operations are computationally intensive in artificial intelligence services, and their overhead in electronic hardware limits machine learning scaling. Here, we introduce a photonic joint transform correlator (pJTC) using a…

In recent year, quantum image processing got a lot of attention in the field of image processing due to opportunity to place huge image data in quantum Hilbert space. Hilbert space or Euclidean space has infinite dimension to locate and…

Quantum Physics · Physics 2022-08-31 Md Ershadul Haque , Manoranjon Paul , Anwaar Ulhaq , Tanmoy Debnath

This paper presents a new solution to address the challenge of increasing memory usage in high-performance computing simulations of Lattice-Bolzmann or Finite-Volume schemes.Our approach utilises a lossy compression scheme based on the…

Hardware Architecture · Computer Science 2023-02-21 Clément Flint , Philippe Helluy

The nonuniform discrete Fourier transform (NUDFT) and its inverse are widely used in various fields of scientific computing. In this article, we propose a novel superfast direct inversion method for type-III NUDFT. The proposed method…

Numerical Analysis · Mathematics 2025-12-04 Yingzhou Li , Jingyu Liu

We develop a lensless compressive imaging architecture, which consists of an aperture assembly and a single sensor, without using any lens. An anytime algorithm is proposed to reconstruct images from the compressive measurements; the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-17 Xin Yuan , Hong Jiang , Gang Huang , Paul Wilford

Transform image processing methods are methods that work in domains of image transforms, such as Discrete Fourier, Discrete Cosine, Wavelet and alike. They are the basic tool in image compression, in image restoration, in image re-sampling…

Computer Vision and Pattern Recognition · Computer Science 2014-08-28 Leonid Yaroslavsky

JPEG2000 (j2k) is a highly popular format for image and video compression.With the rapidly growing applications of cloud based image classification, most existing j2k-compatible schemes would stream compressed color images from the source…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Lahiru D. Chamain , Zhi Ding