Journal of Jilin University(Earth Science Edition) ›› 2018, Vol. 48 ›› Issue (2): 420-432.doi: 10.13278/j.cnki.jjuese.20170266

Previous Articles     Next Articles

Application of Wavelet Transform Combined with Power Transform Method in Edge Detection

Tan Xiaodi, Huang Danian, Li Lili, Ma Guoqing, Zhang Dailei   

  1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China
  • Received:2017-09-29 Online:2018-03-26 Published:2018-03-26
  • Supported by:
    Supported by National Key Research and Development Program of China (2017YFC0602203,2017YFC0601606),National Science and Technology Major Project (2016ZX05027-002-003) and National Natural Science Foundation of China (41604089, 41430322)

Abstract: On the basis of the traditional methods for edge detection of potential-field data, various field source edge enhancement techniques have been studied to improve signal-to-noise ratio (SNR) and localization accuracy. But problems still exist, such as noise interference and divergence of source edges. The authors made an improvement based on the traditional methods of edge detection using wavelet combined with traditional methods to enhance the ability of noise suppressing, and put forward power transform to make edges convergent effectively. In this paper, the principle was introduced and the method was applied to edge detection. Three commonly used numerical methods for edge detection were selected and compared with the modified methods in edge detection effect with the model data, gravity anomalies of Sichuan basin, and the magnetic anomalies in Zhurihe area. The results showed that the method of wavelet combined with power transform could effectively detect the edges of geological bodies in the study area. It plays a good role in noise suppressing, and can be used to identify the edges with convergence. The proposed method improves the accuracy of edge detection and obtains satisfactory results.

Key words: edge detection, wavelet transform, power transform, noise suppression, edge convergence

CLC Number: 

  • P631.1
[1] 杨高印. 位场数据处理的一项新技术:小子域滤波法[J]. 石油地球物理勘探,1995, 30(2):240-244. Yang Gaoyin. A New Technique for Potential-Field Data Processing:Small Sub-Domain Filtering[J]. Oil Geophysical Prospecting, 1995, 30(2):240-244.
[2] Cooper G R J, Cowan D R. Edge Enhancement of Potential-Field Data Using Normalized Statistics[J]. Geophysics, 2008, 73(3):1-4.
[3] Hood P, McClure D J. Gradient Measurements in Ground Magnetic Prospecting[J]. Geophysics, 1965, 30(3):403-410.
[4] Cordell L. Gravimetric Expression of Graben Faulting in Santa Fe Country and the Espanola Basin, New Mexico[C]//New Mexico Geological Society Guidebook, 30th Annual Fall Field Conference. New Mexico:New Mexico Geological, Society, 1979:59-64.
[5] Nabighian M N. The Analytic Signal of Two-Dimen-sional Magnetic Bodies With Polygonal Cross-Section:Its Properties and Use for Automated Anomaly Interpretation[J]. Geophysics, 1972, 37(3):507-517.
[6] Miller H G, Singh V. Potential Field Tilt:A New Concept for Location of Potential Field Sources[J]. Journal of Applied Geophysics, 1994, 32(2/3):213-217.
[7] Wijins C, Perez C, Kowalczyk P. Theta Map:Edge Detection in Magnetic Data[J]. Geophysics, 2005, 70(4):39-43.
[8] 马国庆,杜晓娟,李丽丽. 利用水平与垂直导数的相关系数进行位场数据的边界识别[J]. 吉林大学学报(地球科学版),2011, 41(增刊1):345-348. Ma Guoqing, Du Xiaojuan, Li Lili. Edge Detection of Potential Filed Data Using Correlation Coefficients of Horizontal and Vertical Derivatives[J]. Journal of Jilin University (Earth Science Edition), 2011, 41(Sup.1):345-348.
[9] 马国庆,黄大年,于平,等. 改进的均衡滤波器在位场数据边界识别中的应用[J]. 地球物理学报,2012, 55(12):4288-4295. Ma Guoqing, Huang Danian, Yu Ping, et al. Application of Improved Balancing Filters to Edge Identification of Potential Field Data[J]. Chinese Journal of Geophysics, 2012, 55(12):4288-4295.
[10] 徐亚,郝天珧,周立宏,等. 位场小波变换研究进展[J]. 地球物理学进展,2006, 21(4):1132-1138. Xu Ya, Hao Tianyao, Zhou Lihong, et al. Review of Wavelet Transform in Potential Field[J]. Progress in Geophysics, 2006, 21(4):1132-1138.
[11] 刘彩云. 基于小波变换的位场场源识别与异常分离方法研究[D]. 北京:中国地质大学,2014. Liu Caiyun. The Research on Methods of Edge Detection and Anomaly Separation of Potential Field Source Based on Wavelet Transform[D]. Beijing:China University of Geosciences, 2014.
[12] 张郝. 基于小波变换的图像去噪方法研究[D].北京:北京交通大学,2008. Zhang Hao. The Research on Image Denoising Based on Wavelet Transform[D].Beijing:Beijing Jiaotong University, 2008.
[13] 严奉霞. 小波理论及其在图像边缘检测中的应用[D]. 长沙:国防科学技术大学,2003. Yan Fengxia. Wavelet Theory and Its Application to The Edge Detection of Images[D].Changsha:National University of Defense Technology, 2003.
[14] 张代磊,黄大年,张冲. 基于遗传算法优化的BP神经网络在密度界面反演中的应用[J]. 吉林大学学报(地球科学版),2017, 47(2):580-588. Zhang Dailei, Huang Danian, Zhang Chong. Application of BP Neural Network Based on Genetic Algorithm in the Inversion of Density Interface[J]. Journal of Jilin University (Earth Science Edition), 2017, 47(2):580-588.
[15] 王明,郭志宏,何辉,等. 基于反双曲正切的位场边界识别技术[J]. 物探与化探,2013, 37(4):655-663. Wang Ming, Guo Zhihong, He Hui, et al. Edge Detection of Potential Field Data Using Inverse Hyperbolic Tangent[J]. Geophysical and Geochemical Exploration, 2013, 37(4):655-663.
[16] 冷眉. 重磁资料异常分离与构造边界识别方法的研究及应用[D]. 成都:成都理工大学,2014. Leng Mei. Research and Application of the Method of Separating Anomalous and the Structure Boundary Identification with the Data of Gravity and Magnetic[D].Chengdu:Chengdu University of Technology, 2014.
[1] Ge Kangjian, Wang Changpeng, Zhang Chunxia, Zhang Jiangshe, Xiong Deng. Seismic Data Reconstruction Method Based on Coarse-Refine Network Model with Stepwise Training [J]. Journal of Jilin University(Earth Science Edition), 2024, 54(4): 1396-1405.
[2] Yang Peng, Zhang Shouchuan, Guo Benli, Yang Chongjing, Feng Qiyuan, Lü Youcheng, Xie Luxi. Characteristic of Groundwater Level Dynamic Variation and the Potential Influence Factors in Different Aquifer Categories in Rizhao Area, Shandong Province [J]. Journal of Jilin University(Earth Science Edition), 2024, 54(3): 967-979.
[3] Yan Haiyang, Zhou Hui, Liu Haibo, Xu Zhaohong, Sun Zandong, Liu Zhao, Luo Minxue. Frequency Division Compression Technology of Prestack Seismic Data Based on EZW Algorithm [J]. Journal of Jilin University(Earth Science Edition), 2023, 53(4): 1238-1238.
[4] Li Bang, Jiang Chuandong , Wang Yuan, Tian Baofeng, Duan Qingming, Shang Xinlei, .

Random Noise Suppression for Groundwater Magnetic Resonance Sounding Data Based on Convolutional Neural Network [J]. Journal of Jilin University(Earth Science Edition), 2022, 52(3): 775-784.

[5] Zhu Kaiguang, Jing Chunyang, Fan Tianjiao, Yang Yang, Peng Cong. Identification of Time Domain Airborne Electromagnetic Response with Pseudo-Random Binary Sequence [J]. Journal of Jilin University(Earth Science Edition), 2021, 51(6): 1881-1889.
[6] Li Qicheng, Min Ye, He Shugeng. Discussion on Doppler Effect in Earthquakes by Wavelet Transform [J]. Journal of Jilin University(Earth Science Edition), 2021, 51(3): 909-918.
[7] Li Zhenling, Shen Jinsong, Li Xining, Wang Lei, Dan Weining, Guo Sen, Zhu Zhongmin, Yu Renjiang. Estimating Porosity Spectrum of Fracture and Karst Cave from Conductivity Image by Morphological Filtering [J]. Journal of Jilin University(Earth Science Edition), 2017, 47(4): 1295-1307.
[8] Liu Xia, Huang Yang, Huang Jing, Duan Zhiwei. Wavelet Entropy Threshold Seismic Signal Denoising Based on Empirical Mode Decomposition (EMD) [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(1): 262-269.
[9] Zhao Li, Li Li, Dong Dawei. Basin's Sedimentary-Tectonic Wave Analysis Based on Wavelet Transform [J]. Journal of Jilin University(Earth Science Edition), 2015, 45(4): 1227-1236.
[10] Wang Yu, Lu Wenxi, Bian Jianmin, Hou Zeyu. Comparison of Three Dynamic Models for Groundwater in Western Jilin and the Application [J]. Journal of Jilin University(Earth Science Edition), 2015, 45(3): 886-891.
[11] Wang Yanguo, Zhang Fengxu, Wang Zhuwen, Meng Lingshun, Zhang Jin. Edge Detection of Potential Field Using Normalized Differential [J]. Journal of Jilin University(Earth Science Edition), 2013, 43(2): 592-602.
[12] LI Hai-shan, WU Guo-chen, YI Xing-yao. Application of Morphological Component Analysis to Remove of Random Noise in Seismic Data [J]. J4, 2012, 42(2): 554-561.
[13] HAN Nian-long, LIU Chuang, ZHUANG Li, ZHANG Wei. Removing Thin Cloud by Combining Wavelet Transforms and Homomorphic Filter in the CBERS-02B Image [J]. J4, 2012, 42(1): 275-279.
[14] CHEN Xue-hua, HE Zhen-hua, WEN Xiao-tao, ZHONG Wen-li. Fracture Multi-Frequency Edge Detection Based on Generalized S Transform [J]. J4, 2011, 41(5): 1605-1609.
[15] XIAO Feng, WU Yan-gang, MENG Ling-shun. Edge Enhancement and Detection Technology in Gravity Anomaly Map [J]. J4, 2011, 41(4): 1197-1203.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHANG Shi-guang, LIU Cheng-zhi, LEI Shuang-fang, ZHANG Yan, WU Gao-ping, LIU Qiu-hong. The Application of High-Resolution Sequence Stratigraphy in Multiplex Deposition System of the River, Lake and Delta--To Take the Development Block of Fuyu Oil Layer in Chaoyanggou Reservoir for Example[J]. J4, 2009, 39(3): 361 -368 .
[2] Li Bi-le,Shen Xin,Chen Guang-jun,Yang Yan-qian,Li Yong-sheng. Geochemical Features of OreForming Fluids and Metallogenesis of Vein Ⅰ in Asiha Gold Ore Deposit,Eastern Kunlun,Qinghai Province[J]. Journal of Jilin University(Earth Science Edition), 2012, 42(6): 1676 -1687 .
[3] YANG Xiao-ping, LI Yang-chun,LIU Zhen, WANG Yan, WANG Hong-jie. Classification of Tectonic Sequence and Dynamic Evolution of Jixi Basin, Eastern Heilongjiang Province[J]. J4, 2005, 35(05): 616 -621 .
[4] LI Fa-wen, FENG Ping, ZHANG Chao. Vertically-Mixed Runoff Model and Application in Beisan River of Tianjin[J]. J4, 2011, 41(2): 459 -464 .
[5] WANG Li-jun,LIU Guo-cai,HUANG Ji-guo,LI Yue-qian,CONG Ying,SHEN Zhao-li,ZHAO Xiao-bo. Examination and Study of Catalytic Oxidation in Sight Water Resumption[J]. J4, 2006, 36(03): 458 -461 .
[6] Lei Ruxiong, Wu Changzhi, Qu Xun, Gu Lianxing, Chen Gang,Uerna Amy, Sun Hongtao, Liu Guoling. Geochronology, Geochemistry and Zircon Hf Isotope Compositions of the Ore-Bearing Gneiss Granite in the Tianhudong Iron-Molybdenum Ore Deposit in the Central Tianshan, West China: Implications for the Early Paleozoic Tectonic Evolution of Central Tianshan[J]. Journal of Jilin University(Earth Science Edition), 2014, 44(5): 1540 -1552 .
[7] CHU Feng-you, HU Da-qian, YAO Jie. Mineral Composition and Element Geochemistry of Co-Rich Nodule from YJB Sea Mount in Central Pacific Ocean[J]. J4, 2007, 37(1): 8 -0014 .
[8] ZHOU Yan,ZHENG Pei-xi,WANG Tie-fu,ZHANG Yan-jie. H-O Isotopes of Gold Deposits in the Hanging Wall of Zhao-Ping Fault Belt[J]. J4, 2007, 37(4): 668 -0671 .
[9] TANG Hua-feng,WANG Pu-jun,JIANG Chuan-jin,LIU Jie,ZHANG Qing-chen,FENG You-liang. Seismic Characters of Volcanic Facies and Their Distribution Relation to Deep Faults in Songliao Basin[J]. J4, 2007, 37(1): 73 -0078 .
[10] FAN Xiao-min, LI Zhou-bo. Analysis of Fluctuation and Amplitude Increase in Sonic Logs Caused by Fractures in Carbonate Rocks[J]. J4, 2007, 37(1): 168 -0173 .