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The principal component analysis (PCA) is widely used for data decorrelation and dimensionality reduction. However, the use of PCA may be impractical in real-time applications, or in situations were energy and computing constraints are…

Image and Video Processing · Electrical Eng. & Systems 2024-01-31 R. S. Oliveira , R. J. Cintra , F. M. Bayer , T. L. T. da Silveira , A. Madanayake , A. Leite

The Discrete Cosine Transform (DCT) is widely used in lossy image and video compression schemes, e.g., JPEG and MPEG. In this paper, we show that the compression efficiency of the DCT is dependent on the edge directions within a block. In…

Multimedia · Computer Science 2014-11-18 Rui F. C. Guerreiro , Pedro M. Q. Aguiar

This paper presents the performance of different blockbased discrete cosine transform (DCT) algorithms for compressing color image. In this RGB component of color image are converted to YCbCr before DCT transform is applied. Y is luminance…

Computer Vision and Pattern Recognition · Computer Science 2012-08-16 Walaa M. Abd-Elhafiez , Wajeb Gharibi

Recent advances in computing such as the massively parallel GPUs (Graphical Processing Units),coupled with the need to store and deliver large quantities of digital data especially images, has brought a number of challenges for Computer…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Kgotlaetsile Mathews Modieginyane , Zenzo Polite Ncube , Naison Gasela

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

Recently, many deep image compression methods have been proposed and achieved remarkable performance. However, these methods are dedicated to optimizing the compression performance and speed at medium and high bitrates, while research on…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Zhiyuan Li , Chenyang Ge , Shun Li

Discrete transforms play an important role in many signal processing applications, and low-complexity alternatives for classical transforms became popular in recent years. Particularly, the discrete cosine transform (DCT) has proven to be…

Signal Processing · Electrical Eng. & Systems 2020-06-23 D. R. Canterle , T. L. T. da Silveira , F. M. Bayer , R. J. Cintra

The discrete cosine transform (DCT) is a relevant tool in signal processing applications, mainly known for its good decorrelation properties. Current image and video coding standards -- such as JPEG and HEVC -- adopt the DCT as a…

Image and Video Processing · Electrical Eng. & Systems 2022-12-09 T. L. T. da Silveira , D. R. Canterle , D. F. G. Coelho , V. A. Coutinho , F. M. Bayer , R. J. Cintra

Due to its remarkable energy compaction properties, the discrete cosine transform (DCT) is employed in a multitude of compression standards, such as JPEG and H.265/HEVC. Several low-complexity integer approximations for the DCT have been…

Multimedia · Computer Science 2016-12-05 R. J. Cintra , F. M. Bayer , V. A. Coutinho , S. Kulasekera , A. Madanayake

Image perceptual hashing finds applications in content indexing, large-scale image database management, certification and authentication and digital watermarking. We propose a Block-DCT and PCA based image perceptual hash in this article…

Computer Vision and Pattern Recognition · Computer Science 2013-06-19 Zeng Jie

The discrete cosine transform (DCT) is the key step in many image and video coding standards. The 8-point DCT is an important special case, possessing several low-complexity approximations widely investigated. However, 16-point DCT…

Multimedia · Computer Science 2017-02-08 F. M. Bayer , R. J. Cintra , A. Edirisuriya , A. Madanayake

Linear block transform coding remains a fundamental component of image and video compression. Although the Discrete Cosine Transform (DCT) is widely employed in all current compression standards, its sub-optimality has sparked ongoing…

Image and Video Processing · Electrical Eng. & Systems 2024-11-28 Alessandro Gnutti , Chia-Hao Kao , Wen-Hsiao Peng , Riccardo Leonardi

Principal Component Analysis (PCA) is well known for its capability of dimension reduction and data compression. However, when using PCA for compressing/reconstructing images, images need to be recast to vectors. The vectorization of images…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Liang Liao , Xuechun Zhang , Xinqiang Wang , Sen Lin , Xin Liu

In JPEG (DCT based) compresses image data by representing the original image with a small number of transform coefficients. It exploits the fact that for typical images a large amount of signal energy is concentrated in a small number of…

Graphics · Computer Science 2014-02-13 Sukhpal Singh

Video compression has been investigated by means of analysis-synthesis, and more particularly by means of inpainting. The first part of our approach has been to develop the inpainting of DCT coefficients in an image. This has shown good…

Information Theory · Computer Science 2014-04-17 Matthieu Moinard , Isabelle Amonou , Pierre Duhamel , Patrice Brault

Convolutional neural networks (CNNs) learn filters in order to capture local correlation patterns in feature space. We propose to learn these filters as combinations of preset spectral filters defined by the Discrete Cosine Transform (DCT).…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Matej Ulicny , Vladimir A. Krylov , Rozenn Dahyot

Principal Component Analysis (PCA) is a cornerstone of dimensionality reduction, yet its classical formulation relies critically on second-order moments and is therefore fragile in the presence of heavy-tailed data and impulsive noise.…

Machine Learning · Computer Science 2026-05-05 Mario Sayde , Christopher Khater , Jihad Fahs , Ibrahim Abou-Faycal

An orthogonal approximation for the 8-point discrete cosine transform (DCT) is introduced. The proposed transformation matrix contains only zeros and ones; multiplications and bit-shift operations are absent. Close spectral behavior…

Multimedia · Computer Science 2014-02-26 R. J. Cintra , F. M. Bayer

We demonstrate that Principal Component Analysis (PCA), when applied in a structured manner, either to polar-transformed images or segment-wise to token sequences, enables extreme compression of neural models without sacrificing…

Computational Engineering, Finance, and Science · Computer Science 2025-08-07 Magnus Bengtsson

Adaptive block-based compressive sensing (ABCS) algorithms are studied in the context of the practical realization of compressive sensing on resource-constrained image and video sensing platforms that use single-pixel cameras, multi-pixel…

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Joseph Zammit , Ian J. Wassell
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