A ROBUST COLOR EDGE DETECTION ALGORITHM BASED ON THE QUATERNION HARDY FILTER  

作　　者：Wenshan BI Dong CHENG Wankai LIU Kit Ian KOU 毕文姗;程冬;刘万凯;高洁欣(Department of Mathematics,Faculty of Science and Technology,University of Macao,Macao,China;Research Center for Mathematics and Mathematics Education,Beijing Normal University at Zhuhai,Zhuhai 519087,China;School of Mathematics and Quantitative Economics,Shandong University of Finance and Economics,Jinan 250014,China)

机构地区：[1]Department of Mathematics,Faculty of Science and Technology,University of Macao,Macao,China [2]Research Center for Mathematics and Mathematics Education,Beijing Normal University at Zhuhai,Zhuhai 519087,China [3]School of Mathematics and Quantitative Economics,Shandong University of Finance and Economics,Jinan 250014,China

出　　处：《Acta Mathematica Scientia》2022年第3期1238-1260,共23页数学物理学报（B辑英文版）

基　　金：supported in part by the Science and Technology Development Fund,Macao SAR FDCT/085/2018/A2;the Guangdong Basic and Applied Basic Research Foundation(2019A1515111185)。

摘　　要：This paper presents a robust filter called the quaternion Hardy filter(QHF)for color image edge detection.The QHF can be capable of color edge feature enhancement and noise resistance.QHF can be used flexibly by selecting suitable parameters to handle different levels of noise.In particular,the quaternion analytic signal,which is an effective tool in color image processing,can also be produced by quaternion Hardy filtering with specific parameters.Based on the QHF and the improved Di Zenzo gradient operator,a novel color edge detection algorithm is proposed;importantly,it can be efficiently implemented by using the fast discrete quaternion Fourier transform technique.From the experimental results,we conclude that the minimum PSNR improvement rate is 2.3%and the minimum SSIM improvement rate is 30.2%on the CSEE database.The experiments demonstrate that the proposed algorithm outperforms several widely used algorithms.

关 键 词：Boundary values color image edge detection quaternion analytic signal discrete quaternion Fourier transform 

分 类 号：TN713[电子电信—电路与系统] TP391.41[自动化与计算机技术—计算机应用技术]