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Matrix approximation methods have successfully produced efficient, low-complexity approximate transforms for the discrete cosine transforms and the discrete Fourier transforms. For the DFT case, literature archives approximations operating…

Signal Processing · Electrical Eng. & Systems 2026-02-18 L. Portella , F. M. Bayer , R. J. Cintra

Image Compression has become an absolute necessity in today's day and age. With the advent of the Internet era, compressing files to share among other users is quintessential. Several efforts have been made to reduce file sizes while still…

Computer Vision and Pattern Recognition · Computer Science 2021-02-16 Jacob John

Self-attention is central to the success of Transformer architectures; however, learning the query, key, and value projections from random initialization remains challenging and computationally expensive. In this paper, we propose two…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Hongyi Pan , Emadeldeen Hamdan , Xin Zhu , Ahmet Enis Cetin , Ulas Bagci

A new class of matrices based on a parametrization of the Feig-Winograd factorization of 8-point DCT is proposed. Such parametrization induces a matrix subspace, which unifies a number of existing methods for DCT approximation. By solving a…

Methodology · Statistics 2016-07-19 C. J. Tablada , F. M. Bayer , R. J. Cintra

This paper studies the cosine as basis function for the approximation of univariate and continuous functions without memory. This work studies a supervised learning to obtain the approximation coefficients, instead of using the Discrete…

Signal Processing · Electrical Eng. & Systems 2024-05-28 Ana I. Pérez-Neira , Marc Martinez-Gost , Miguel Ángel Lagunas

Transformations for enhancing sparsity in the approximation of color images by 2D atomic decomposition are discussed. The sparsity is firstly considered with respect to the most significant coefficients in the wavelet decomposition of the…

Image and Video Processing · Electrical Eng. & Systems 2021-05-17 Laura Rebollo-Neira , Aurelien Inacio

Recently, there has been a lot of research into tensor singular value decomposition (t-SVD) by using discrete Fourier transform (DFT) matrix. The main aims of this paper are to propose and study tensor singular value decomposition based on…

Computer Vision and Pattern Recognition · Computer Science 2019-02-11 Wen-Hao Xu , Xi-Le Zhao , Michael Ng

To achieve higher accuracy in machine learning tasks, very deep convolutional neural networks (CNNs) are designed recently. However, the large memory access of deep CNNs will lead to high power consumption. A variety of hardware-friendly…

Image and Video Processing · Electrical Eng. & Systems 2021-06-25 Yubo Shi , Meiqi Wang , Siyi Chen , Jinghe Wei , Zhongfeng Wang

Binary grid mask representation is broadly used in instance segmentation. A representative instantiation is Mask R-CNN which predicts masks on a $28\times 28$ binary grid. Generally, a low-resolution grid is not sufficient to capture the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Xing Shen , Jirui Yang , Chunbo Wei , Bing Deng , Jianqiang Huang , Xiansheng Hua , Xiaoliang Cheng , Kewei Liang

In recent years, the integration of advanced imaging techniques and deep learning methods has significantly advanced computer-aided diagnosis (CAD) systems for breast cancer detection and classification. Transformers, which have shown great…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Mahtab Ranjbar , Mehdi Mohebbi , Mahdi Cherakhloo , Bijan Vosoughi. Vahdat

We propose a practical approach to JPEG image decoding, utilizing a local implicit neural representation with continuous cosine formulation. The JPEG algorithm significantly quantizes discrete cosine transform (DCT) spectra to achieve a…

Image and Video Processing · Electrical Eng. & Systems 2024-04-09 Woo Kyoung Han , Sunghoon Im , Jaedeok Kim , Kyong Hwan Jin

Near-lossless image compression-decompression scheme is proposed in this paper using Zipper Transformation (ZT) and inverse zipper transformation (iZT). The proposed ZT exploits the conjugate symmetry property of Discrete Fourier…

Image and Video Processing · Electrical Eng. & Systems 2017-10-11 Babajide O. Ayinde

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

Compressing the sign information of discrete cosine transform (DCT) coefficients is an intractable problem in image coding schemes due to the equiprobable characteristics of the signs. To overcome this difficulty, we propose an efficient…

Information Theory · Computer Science 2024-05-13 Kei Suzuki , Chihiro Tsutake , Keita Takahashi , Toshiaki Fujii

This paper proposes the use of a discrete cosine transform (DCT) instead of the eigenfaces method (Karhunen-Loeve Transform) for biometric identification based on frontal face images. Experimental results show better recognition accuracies…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Marcos Faundez-Zanuy

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

With the rapid advancements in digital imaging systems and networking, low-cost hand-held image capture devices equipped with network connectivity are becoming ubiquitous. This ease of digital image capture and sharing is also accompanied…

Multimedia · Computer Science 2019-06-20 Vinay Verma , Nikita Agarwal , Nitin Khanna

Human pose estimation has seen widespread use of transformer models in recent years. Pose transformers benefit from the self-attention map, which captures the correlation between human joint tokens and the image. However, training such…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Feixiang Ren

An area efficient row-parallel architecture is proposed for the real-time implementation of bivariate algebraic integer (AI) encoded 2-D discrete cosine transform (DCT) for image and video processing. The proposed architecture computes…

Hardware Architecture · Computer Science 2017-10-30 A. Edirisuriya , A. Madanayake , R. J. Cintra , V. S. Dimitrov

Filtering is an important issue in signals and images processing. Many images and videos are compressed using discrete cosine transform (DCT). For reducing the computation complexity, we are interested in filtering block and images directly…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Mostafa Amin-Naji , Ali Aghagolzadeh