基于多尺度变换的图像去噪算法研究及其在贺兰山岩画中的应用

项目名称： 基于多尺度变换的图像去噪算法研究及其在贺兰山岩画中的应用

项目编号： No.61261043

项目类型： 地区科学基金项目

立项/批准年度： 2013

项目学科： 无线电电子学、电信技术

项目作者： 黄永东

作者单位： 北方民族大学

项目金额： 40万元

中文摘要： 岩画是古代先民们在岩石上凿刻的能够反映当时社会生活的图画,是后人研究远古时代经济和文化生活的活化石.本项目设计基于小波变换和轮廓波变换的图像去噪算法,研究最小能量区间(多)小波框架的构造及相应的图像去噪算法,并将它们应用于贺兰山岩画的研究和保护:(1)基于NeighShrink算法的思想,建立有效的层内、层间和混合模型,设计相应的邻域(多)小波去噪算法,使这些算法具有自适应性并能保护图像细节边缘;(2)改进轮廓波和非下采样轮廓波变换子带系数的数学模型,将小波去噪算法的思想融入到轮廓波与非下采样轮廓波变换中,由此设计相应的图像去噪算法;设计基于多轮廓波、多轮廓波包变换的去噪算法;(3)构造任意伸缩因子最小能量区间(多)小波框架,设计数值算例和相应去噪算法;(4)将所设计的算法应用到贺兰山岩画图像去噪中,以此服务于贺兰山岩画的信息化研究和文化传承.

中文关键词： 小波变换；轮廓波变换；图像去噪；最小能量小波框架；贺兰山岩画

英文摘要： Rock paintings were chiseled in rock by the ancient ancestors,which can reflect the social life at that time.They are regard as the living fossils to reasearch the economic and cultural life in the ancient times for the later generations.Based on wavelet transform and contourlet transform,image denoising algorithms are proposed,minimum-energy (multi)wavelet frame on the interval and its corresponding denoising algorithms are constructed. Finally,these algorithms will be applied to the research and protection of the rock paintings in Helan Mountain: (1)Benefit from NeighShrink algorithm thought,the valid scale-space mixture models of wavelet coefficients are established,the corresponding image denoising algorithms are provided,and these algorithms are adaptive and protect the detail information of the images;(2)The mathematical model of the coefficient of contourlet tramsform and nonsubsampling contourlet transform are improved,wavelet denoising algorithm thoughts are introduced into contourlet transform and nonsubsampling contourlet transform,on the basis of this,the corresponding image denoising algorithms are proposed,denoising algorithms based on multicontourlet and multicontourlet packet are designed;(3)Minimum-energy (multi) wavelet frame on the interval with arbitrary integer dilation factor is construct

英文关键词： Wavelet transform；Contourlet transform；Image denoising；minimum-energy wavelet frame；the rock painting in Helan Mountain