信号和图像处理中的四元数:全面和客观的概述

IF 9.4 1区工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Signal Processing Magazine Pub Date : 2023-09-07 DOI:10.1109/MSP.2023.3278071

Sebastian Miron;Julien Flamant;Nicolas Le Bihan;Pierre Chainais;David Brie

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引用次数: 4

摘要

四元数在很大程度上仍然被误解，并且经常被认为是一种“奇异”的信号表示，尽管它们已经在信号和图像处理界存在了30多年，但没有太多的实用性。本文的主要目的是克服这种误解，并揭开四元数代数用于解决信号和图像处理问题的神秘面纱。为此，我们对四元数表示、模型和方法的关键方面提出了全面而客观的概述，并通过旗舰应用说明了我们的文献之旅。最后，我们展望了四元数信号和图像处理中的剩余挑战和悬而未决的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quaternions in Signal and Image Processing: A comprehensive and objective overview

Quaternions are still largely misunderstood and often considered an “exotic” signal representation without much practical utility despite the fact that they have been around the signal and image processing community for more than 30 years now. The main aim of this article is to counter this misconception and to demystify the use of quaternion algebra for solving problems in signal and image processing. To this end, we propose a comprehensive and objective overview of the key aspects of quaternion representations, models, and methods and illustrate our journey through the literature with flagship applications. We conclude this work by an outlook on the remaining challenges and open problems in quaternion signal and image processing.

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来源期刊

IEEE Signal Processing Magazine 工程技术-工程：电子与电气

CiteScore

27.20

自引率

0.70%

发文量

123

审稿时长

6-12 weeks

期刊介绍： EEE Signal Processing Magazine is a publication that focuses on signal processing research and applications. It publishes tutorial-style articles, columns, and forums that cover a wide range of topics related to signal processing. The magazine aims to provide the research, educational, and professional communities with the latest technical developments, issues, and events in the field. It serves as the main communication platform for the society, addressing important matters that concern all members.