The edge detection based on the quaternion scale function(基于四元数尺度函数的边缘检测方法)

HUXiaoxiao(胡晓晓); CHENGDong(程冬)

doi:10.3785/j.issn.1008-9497.2022.05.005

Zhejiang Daxue xuebao. Lixue ban (Sep 2022)

The edge detection based on the quaternion scale function(基于四元数尺度函数的边缘检测方法)

HUXiaoxiao(胡晓晓),
CHENGDong(程冬)

Affiliations

HUXiaoxiao(胡晓晓): ORCiD; 1.The First School of Medicine, School of Information and Engineering, The First Affiliated Hospital of Wenzhou Medical University, Wenzhou Medical University, Wenzhou 325000, Zhejiang Province, China( 1.温州医科大学　第一临床医学院（信息与工程学院）附属第一医院，浙江　温州　325000)
CHENGDong(程冬): 2.Research Center for Mathematics and Mathematics Education, Beijing Normal University, Zhuhai, Zhuhai 519087, Guangzhou Province, China( 2.北京师范大学珠海校区　数学与数学教育研究中心，广州　珠海　519087)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2022.05.005
Journal volume & issue: Vol. 49, no. 5
pp. 549 – 554

Abstract

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四元数解析信号是解析信号在四元数意义下的推广，其由原信号、四元数方向Hilbert变换和四元数交叉项Hilbert交换构成。通过四元数解析信号的极坐标表示，可得信号的特征表示，如局部相位角和局部振幅，其中局部相位角包含信号的结构信息。研究了右四元数解析信号，给出了其二维延拓定理，得到右四元数尺度函数，并将其局部特征应用于彩色图像的边缘检测，提出了基于局部相位角和局部振幅的边缘检测方法，通过对比实验，证明了基于局部相位角的边缘检测方法在抗噪上具有鲁棒性。

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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