Low-Complexity Loeffler DCT Approximations for Image and Video Coding

Author:

Coelho Diego F. G.,Cintra Renato J.,Bayer Fábio M.,Kulasekera Sunera,Madanayake Arjuna,Martinez Paulo,Silveira Thiago L. T.,Oliveira Raíza S.,Dimitrov Vassil S.

Abstract

This paper introduced a matrix parametrization method based on the Loeffler discrete cosine transform (DCT) algorithm. As a result, a new class of 8-point DCT approximations was proposed, capable of unifying the mathematical formalism of several 8-point DCT approximations archived in the literature. Pareto-efficient DCT approximations are obtained through multicriteria optimization, where computational complexity, proximity, and coding performance are considered. Efficient approximations and their scaled 16- and 32-point versions are embedded into image and video encoders, including a JPEG-like codec and H.264/AVC and H.265/HEVC standards. Results are compared to the unmodified standard codecs. Efficient approximations are mapped and implemented on a Xilinx VLX240T FPGA and evaluated for area, speed, and power consumption.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

MDPI AG

Subject

Electrical and Electronic Engineering

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Singular Value Decomposition (SVD) Based Optimal Image Compression Technique;2023 International Conference on Evolutionary Algorithms and Soft Computing Techniques (EASCT);2023-10-20

2. Low complexity 16-point DCT approximation for image compression;2022 International Conference on Computing, Communication, and Intelligent Systems (ICCCIS);2022-11-04

3. Designing Energy-Efficient Approximate Multipliers;Journal of Low Power Electronics and Applications;2022-09-27

4. Unified FPGA Design for the HEVC Dequantization and Inverse Transform Modules;Computers, Materials & Continua;2022

5. A Class of Low-Complexity DCT-like Transforms for Image and Video Coding;IEEE Transactions on Circuits and Systems for Video Technology;2021

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