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Two multiplierless algorithms are proposed for 4x4 approximate-DCT for transform coding in digital video. Computational architectures for 1-D/2-D realisations are implemented using Xilinx FPGA devices. CMOS synthesis at the 45 nm node…

Hardware Architecture · Computer Science 2014-05-05 F. M. Bayer , R. J. Cintra , A. Madanayake , U. S. Potluri

The discrete Hartley transform (DHT) is a useful tool for medical image coding. The three-dimensional DHT (3D DHT) can be employed to compress medical image data, such as magnetic resonance and X-ray angiography. However, the computation of…

Signal Processing · Electrical Eng. & Systems 2022-06-02 V. A. Coutinho , F. M. Bayer , R. J. Cintra

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 trigonometric transforms (DTTs), such as the DCT-2 and the DST-7, are widely used in video codecs for their balance between coding performance and computational efficiency. In contrast, data-dependent transforms, such as the…

Image and Video Processing · Electrical Eng. & Systems 2025-11-25 Samuel Fernández-Menduiña , Eduardo Pavez , Antonio Ortega , Tsung-Wei Huang , Thuong Nguyen Canh , Guan-Ming Su , Peng Yin

Discrete cosine transform (DCT) and other Fourier-related transforms have broad applications in scientific computing. However, off-the-shelf high-performance multi-dimensional DCT (MD DCT) libraries are not readily available in parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Zixuan Jiang , Jiaqi Gu , David Z. Pan

In this paper, we introduce a low-complexity approximation for the discrete Tchebichef transform (DTT). The proposed forward and inverse transforms are multiplication-free and require a reduced number of additions and bit-shifting…

Methodology · Statistics 2015-02-03 P. A. M. Oliveira , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Madanayake

The discrete cosine transform (DCT) is a widely-used and important signal processing tool employed in a plethora of applications. Typical fast algorithms for nearly-exact computation of DCT require floating point arithmetic, are multiplier…

Hardware Architecture · Computer Science 2017-11-01 N. Rajapaksha , A. Madanayake , R. J. Cintra , J. Adikari , V. S. Dimitrov

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

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

For the last few decades, the application of signal-adaptive transform coding to video compression has been stymied by the large computational complexity of matrix-based solutions. In this paper, we propose a novel parametric approach to…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Amir Said , Xin Zhao , Marta Karczewicz , Hilmi E. Egilmez , Vadim Seregin , Jianle Chen

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

This article is about an image transform called 3D-DCT, or three-dimensional discrete cosine transform. This is an extension of the well-known 1D and 2D-DCT, which is extensively used, mostly in multimedia coding. A modification of 1D-DCT…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Fernando Martin-Rodriguez , Fernando Isasi-de-Vicente , Mónica Fernandez-Barciela

Versatile Video Coding (VVC) is the next generation video coding standard expected by the end of 2020. Compared to its predecessor, VVC introduces new coding tools to make compression more efficient at the expense of higher computational…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 I. Farhat , W. Hamidouche , A Grill , D. Ménard , O. Deforges

The emerging and existing light field displays are highly capable of realistic presentation of 3D scenes on auto-stereoscopic glasses-free platforms. The light field size is a major drawback while utilising 3D displays and streaming…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Sally Khaidem , Mansi Sharma

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

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

In imaging systems, following acquisition, an image/video is transmitted or stored and eventually presented to human observers using different and often imperfect display devices. While the resulting quality of the output image may severely…

Multimedia · Computer Science 2018-08-01 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

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

This paper presents an efficient approach for multiplierless implementation for eight-point DCT approximation, which based on coordinate rotation digital computer (CORDIC) algorithm. The main design objective is to make critical path of…

Hardware Architecture · Computer Science 2011-11-01 Maxim Vashkevich , Marek Parfieniuk , Alexander Petrovsky

An algebraic integer (AI) based time-multiplexed row-parallel architecture and two final-reconstruction step (FRS) algorithms are proposed for the implementation of bivariate AI-encoded 2-D discrete cosine transform (DCT). The architecture…

Hardware Architecture · Computer Science 2015-02-17 A. Madanayake , R. J. Cintra , D. Onen , V. S. Dimitrov , N. T. Rajapaksha , L. T. Bruton , A. Edirisuriya