使用平面上新颖的四元值小波对彩色图像进行整体处理：前景广阔的转换工具 [超复杂信号与图像处理］

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

IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI:10.1109/MSP.2024.3379753

Neil D. Dizon;Jeffrey A. Hogan

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引用次数: 0

摘要

最近，利用优化方法在平面上构建了新的四元数值小波。这些小波具有紧凑支持、平滑、正交、不可分割和真正的四元性。然而，它们尚未经过应用测试。在本文中，我们介绍了一种使用与最近开发的平面四元值小波相关的四元小波滤波器分解和重建彩色图像的方法。我们研究了这种方法在彩色图像的压缩、增强、分割和去噪方面的适用性。我们的研究结果表明，这些小波是对彩色图像进行端到端四元数处理的理想工具。

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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Holistic Processing of Color Images Using Novel Quaternion-Valued Wavelets on the Plane: A promising transformative tool [Hypercomplex Signal and Image Processing]

Recently, novel quaternion-valued wavelets on the plane were constructed using an optimization approach. These wavelets are compactly supported, smooth, orthonormal, nonseparable, and truly quaternionic. However, they have not been tested in application. In this article, we introduce a methodology for decomposing and reconstructing color images using quaternionic wavelet filters associated to recently developed quaternion-valued wavelets on the plane. We investigate the applicability of this method in the compression, enhancement, segmentation, and denoising of color images. Our results demonstrate these wavelets as promising tools for an end-to-end quaternion processing of color images.

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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.