Computer Science ›› 2017, Vol. 44 ›› Issue (Z6): 164-168.doi: 10.11896/j.issn.1002-137X.2017.6A.038

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Image Edge Detection Based on Pyramidal Algorithm of Interpolation Wavelet

ZHANG Zhi-guo, ZHENG Xi and LAN Jing-chuan   

  • Online:2017-12-01 Published:2018-12-01

Abstract: When classic wavelet theory is applied to detect edge of images,discrete integral formula is often used to replace continuous integral to obtain wavelet coefficients.Since discrete integral is approximate expression of continuous integral,great numerical errors often cannot be avoided in calculations.This has lead to the fact that some details of images cannot be described clearly in edge detection.To solve this problem,by applying Mallat pyramidal algorithm to interpolation conjugate filter,a new algorithm was proposed for edge detection based on the fact that image pixel values can be considered as coefficients of interpolation wavelets.In the experiment,our algorithm is compared with the classic one.It is shown that the new algorithm can obtain clearer and more intact edges.This implies that our algorithm is more effective and accurate than the classic one.

Key words: Interpolation wavelet,Interpolation conjugate filter,Mallat pyramidal,Image edge detection

[1] MALLAT S,ZHONG S.Characterization of signals from multiscale edges[J].IEEE Trans on Pattern and Machine Intelligence,1992,14(7):710-732.
[2] MALLAT S,HWANG W L.Singularity detection and proces-sing with wavelets[J].IEEE Trans on Information Theory,1992,38(2):617-643.
[3] KOBYLIN O,LYASHENKO V.Comparison of standard image edge detection techniques and of method based on wavelet transform[J].International Journal of Advanced Research,2014,2(8):572-580.
[4] 邵婷婷,白宗文,周美丽.基于小波变换的图像边缘检测[J].电子测试,2014(19):26-27.
[5] CHO W,JEON J.Edge detection in wavelet transform domain[C]∥ 2015 21st Korea-Japan Joint Workshop on Frontiers of Computer Vision.2015:1-4.
[6] 李哲涛,李仁发,谢井雄.基于全向小波的图像边缘检测算法[J].电子学报,2012,40(12):2451-2455.
[7] 岳明明,杨国为.基于B样条小波模极大值的多尺度边缘检测算法[J].工业控制计算机,2016,29(9):108-112.
[8] 李智,张根耀,王蓓.基于小波变换和形态学的医学图像边缘检测[J].信息技术,2015(4):84-86.
[9] 孙康泰,羿旭明,方壮.基于Canny算子边缘检测的小波阈值去噪方法[J].数学杂志,2015,35(6):1389-1392.
[10] WALTER G G.A sampling theorem for wavelet subspaces[J].IEEE Transactions on Information Theory,1992,38(2):881-884.
[11] ZHANG Z G,KON M A.On relating interpolatory wavelets to interpolatory scaling functions in multiresolution analyses[J].Circuits,Systems,and Signal Proccessing,2015,34(6):1947-1976.

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