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This paper presents stable, radix-2, completely recursive discrete cosine transformation algorithms DCT-I and DCT-III solely based on DCT-I, DCT-II, DCT-III, and DCT-IV having sparse and orthogonal factors. Error bounds for computing the…

Numerical Analysis · Mathematics 2015-08-10 Sirani M. Perera

As an extension of the 2D fractional Fourier transform (FRFT) and a special case of the 2D linear canonical transform (LCT), the gyrator transform was introduced to produce rotations in twisted space/spatial-frequency planes. It is a useful…

Computer Vision and Pattern Recognition · Computer Science 2017-07-13 Soo-Chang Pei , Shih-Gu Huang , Jian-Jiun Ding

Prevalent predictive coding-based video compression methods rely on a heavy encoder to reduce temporal redundancy, which makes it challenging to deploy them on resource-constrained devices. Since the 1970s, distributed source coding theory…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Xinjie Zhang , Jiawei Shao , Jun Zhang

We present algorithms for the discrete cosine transform (DCT) and discrete sine transform (DST), of types II and III, that achieve a lower count of real multiplications and additions than previously published algorithms, without sacrificing…

Numerical Analysis · Mathematics 2025-10-20 Xuancheng Shao , Steven G. Johnson

Stereoscopic video conferencing is still challenging due to the need to compress stereo RGB-D video in real-time. Though hardware implementations of standard video codecs such as H.264 / AVC and HEVC are widely available, they are not…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Yueyu Hu , Onur G. Guleryuz , Philip A. Chou , Danhang Tang , Jonathan Taylor , Rus Maxham , Yao Wang

Reconstructing dynamic 4D scenes from monocular videos is a fundamental yet challenging task. While recent 3D foundation models provide strong geometric priors, their performance significantly degrades in dynamic environments. This…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Ying Zang , Xuanyi Liu , Yidong Han , Deyi Ji , Chaotao Ding , Yuanqi Hu , Qi Zhu , Xuanfu Li , Jin Ma , Lingyun Sun , Tianrun Chen , Lanyun Zhu

While the next generation video compression standard, Versatile Video Coding (VVC), provides a superior compression efficiency, its computational complexity dramatically increases. This paper thoroughly analyzes this complexity for both…

Multimedia · Computer Science 2020-10-08 Farhad Pakdaman , Mohammad Ali Adelimanesh , Moncef Gabbouj , Mahmoud Reza Hashemi

Learned image compression has recently shown the potential to outperform the standard codecs. State-of-the-art rate-distortion (R-D) performance has been achieved by context-adaptive entropy coding approaches in which hyperprior and…

Image and Video Processing · Electrical Eng. & Systems 2021-01-01 Mohammad Akbari , Jie Liang , Jingning Han , Chengjie Tu

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

Diffusion Transformers (DiTs) have shown remarkable performance in generating high-quality videos. However, the quadratic complexity of 3D full attention remains a bottleneck in scaling DiT training, especially with high-definition, lengthy…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-02 Xin Tan , Yuetao Chen , Yimin Jiang , Xing Chen , Kun Yan , Nan Duan , Yibo Zhu , Daxin Jiang , Hong Xu

This paper presents an efficient parallel direct algorithm with near-optimal complexity for the compact fourth and sixth-order approximation of the three-dimensional Helmholtz equations [1] with the problem coefficient depending on only one…

Numerical Analysis · Mathematics 2020-03-13 Ronald Gonzales , Yury Gryazin , Yun Teck Lee

Image fusion in visual sensor networks (VSNs) aims to combine information from multiple images of the same scene in order to transform a single image with more information. Image fusion methods based on discrete cosine transform (DCT) are…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 Milad Abdollahzadeh , Touba Malekzadeh , Hadi Seyedarabi

Joint Photographic Experts Group (JPEG) achieves data compression by quantizing Discrete Cosine Transform (DCT) coefficients, which inevitably introduces compression artifacts. Most existing JPEG quality enhancement methods operate in the…

Image and Video Processing · Electrical Eng. & Systems 2025-06-27 Jing Yang , Qunliang Xing , Mai Xu , Minglang Qiao

Hyperdimensional computing (HDC) is a brain-inspired paradigm valued for its noise robustness, parallelism, energy efficiency, and low computational overhead. Hardware accelerators are being explored to further enhance their performance,…

Emerging Technologies · Computer Science 2025-04-29 Md Mizanur Rahaman Nayan , Che-Kai Liu , Zishen Wan , Arijit Raychowdhury , Azad J Naeemi

Distributed Video Coding (DVC) is a new coding paradigm for video compression, based on Slepian- Wolf (lossless coding) and Wyner-Ziv (lossy coding) information theoretic results. DVC is useful for emerging applications such as wireless…

Multimedia · Computer Science 2011-03-25 Vijay Kumar Kodavalla , Dr. P. G. Krishna Mohan

Digital images are becoming large in size containing more information day by day to represent the as is state of the original one due to the availability of high resolution digital cameras, smartphones, and medical tests images. Therefore,…

Multimedia · Computer Science 2019-12-24 Ahmad Shawahna , Md. Enamul Haque , Alaaeldin Amin

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

Most neural compression models are trained on large datasets of images or videos in order to generalize to unseen data. Such generalization typically requires large and expressive architectures with a high decoding complexity. Here we…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Hyunjik Kim , Matthias Bauer , Lucas Theis , Jonathan Richard Schwarz , Emilien Dupont

Vision Transformers (ViT) have achieved remarkable success in large-scale image recognition. They split every 2D image into a fixed number of patches, each of which is treated as a token. Generally, representing an image with more tokens…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Yulin Wang , Rui Huang , Shiji Song , Zeyi Huang , Gao Huang

Video transformers have recently emerged as an effective alternative to convolutional networks for action classification. However, most prior video transformers adopt either global space-time attention or hand-defined strategies to compare…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Jue Wang , Lorenzo Torresani
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