纹理图像的多分形特征
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摘要
为尽可能保持图像信息的完整,以更好地刻画纹理图像的整体特征,在分析了多分形的基本理论、表示的物理意义和计算方法后,提出了基于多个无标度区的多分形分析方法。这种方法充分利用了图像各个尺度所包含的信息,弥补了传统多分形分析方法因为只选择某一个无标度区计算,而丢失诸多图像信息的不足。运用基于多个无标度区的多分形分析方法对纹理图像进行分析,分析结果对刻画纹理图像的整体特征及对分析复杂结构纹理图像具有指导意义。
To maintain the pictorial information as complete as possible,a new multi-fractal analysis method based on a number of no-scale was put forward based on the basic multi-fractal theory,the physical meaning and the calculation methods were researched.Making full use of the information contained in the images at all scales,this method made up for the deficiencies in traditional multi-fractal analysis me-thods which selected only a certain no-scale basis,so that a lot of information was lost.The proposed method was used to analyze the texture images.The results are meaningful to depicting the whole characteristic of images and analyzing the complex texture.
To maintain the pictorial information as complete as possible,a new multi-fractal analysis method based on a number of no-scale was put forward based on the basic multi-fractal theory,the physical meaning and the calculation methods were researched.Making full use of the information contained in the images at all scales,this method made up for the deficiencies in traditional multi-fractal analysis me-thods which selected only a certain no-scale basis,so that a lot of information was lost.The proposed method was used to analyze the texture images.The results are meaningful to depicting the whole characteristic of images and analyzing the complex texture.
引文
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[4]李锰.地貌与地震形变场分形与多重分形特征研究[D].北京:中国地震局地球物理研究所,2002.
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[6]李会方.多重分形理论及其在图象处理中应用的研究[D].西安:西北工业大学,2004.
[7]周宇欢,傅强.Rayleigh—Benard对流的多分形及其谱特征[J].工程力学,2008,7(25):52-56.ZHOU Yu-huan FU Qiang.Structure characters ofrayleigh-benard convection and its multifractal spec-trum[J].Engineering Mechanics,2008,7(25):52-56.(in Chinese).
[8]ZANG Bao-jiang,SHANG Peng-jian.Multifractalanalysis of the Yellow River flows[J].ChinesePhysics,2007,3(16):565-569.
[9]DING Liang-jin,PENG Hu,et al.Multifractal analy-sis of human heartbeat in sleep[J].Chin Phys Lett,2007,24(7):2149-2152.
[10]孙霞,傅竹西,吴自勤.薄膜生长的多重分形谱的计算[J].计算物理,2001,18(3):247-252.SUN Xia,FU Zhu-xi,WU Zi-qing.Multifractal cal-culation of thin film growth[J].Chinese Journal ofComputational Physics,2001,18(3):247-252.(inChinese).
[2]于浩,刘志红,张晓萍,等.基于傅里叶变换的梯田纹理特征提取[J].国土资源遥感,2008(2):39-42.YU Hao,LIU Zhi-hong,ZHANG Xiao-ping,et al.Extraction of terraced field texture features based onfourier transformation[J].Remote Sensing for Land&Resources,2008(2):39-42.(in Chinese).
[3]夏良正.数字图像处理[M].南京:东南大学出版社,1999.
[4]李锰.地貌与地震形变场分形与多重分形特征研究[D].北京:中国地震局地球物理研究所,2002.
[5]陈军.多重分形局部奇异性分析方法及其在矿产资源信息提取中的应用[D].武汉:中国地质大学,2007.
[6]李会方.多重分形理论及其在图象处理中应用的研究[D].西安:西北工业大学,2004.
[7]周宇欢,傅强.Rayleigh—Benard对流的多分形及其谱特征[J].工程力学,2008,7(25):52-56.ZHOU Yu-huan FU Qiang.Structure characters ofrayleigh-benard convection and its multifractal spec-trum[J].Engineering Mechanics,2008,7(25):52-56.(in Chinese).
[8]ZANG Bao-jiang,SHANG Peng-jian.Multifractalanalysis of the Yellow River flows[J].ChinesePhysics,2007,3(16):565-569.
[9]DING Liang-jin,PENG Hu,et al.Multifractal analy-sis of human heartbeat in sleep[J].Chin Phys Lett,2007,24(7):2149-2152.
[10]孙霞,傅竹西,吴自勤.薄膜生长的多重分形谱的计算[J].计算物理,2001,18(3):247-252.SUN Xia,FU Zhu-xi,WU Zi-qing.Multifractal cal-culation of thin film growth[J].Chinese Journal ofComputational Physics,2001,18(3):247-252.(inChinese).
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