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刘海强, 余建波. 二维局部均值分解算法[J]. 计算机辅助设计与图形学学报, 2018, 30(10): 1859-1869. DOI: 10.3724/SP.J.1089.2018.17008
引用本文: 刘海强, 余建波. 二维局部均值分解算法[J]. 计算机辅助设计与图形学学报, 2018, 30(10): 1859-1869. DOI: 10.3724/SP.J.1089.2018.17008
Liu Haiqiang, Yu Jianbo. A Bidimensional Local Mean Decomposition Algorithm[J]. Journal of Computer-Aided Design & Computer Graphics, 2018, 30(10): 1859-1869. DOI: 10.3724/SP.J.1089.2018.17008
Citation: Liu Haiqiang, Yu Jianbo. A Bidimensional Local Mean Decomposition Algorithm[J]. Journal of Computer-Aided Design & Computer Graphics, 2018, 30(10): 1859-1869. DOI: 10.3724/SP.J.1089.2018.17008

二维局部均值分解算法

A Bidimensional Local Mean Decomposition Algorithm

  • 摘要: 为了获取不同尺度下的特征信息用于滤噪、边缘提取等图像处理,在一维局部均值分解基础上提出一种二维局部均值分解算法.首先用快速8-邻域窗算法或者灰度形态学重构算法提取图像的局部极值点;然后通过Delaunay三角剖分将求得的极值点划分成三角网格来确定每一个极值点的相邻极值点,进而得到相邻极值的局部均值函数和包络估计函数;最后采用一种综合考虑二维乘积函数极值点空间特征和包络估计函数极值大小的停止筛分条件,通过迭代寻优方法得到相应的二维乘积函数,将图像分解成不同尺度下的成分.在Tree,Cameraman等经典图像上的实验结果表明,该算法能快速有效地实施图像多尺度分解,性能好于二维局部均值分解算法及传统的二维经验模态分解算法.

     

    Abstract: The multiscale analysis method is able to decompose an image into a set of different frequency scale images that provide much information for further image processing.In this paper,a new bidimensional LMD(NBLMD)is proposed to extract feature information at multiple scales.Firstly,morphological reconstruction or a fast eight-neighbor window is developed to detect local extremas of images.A method based on Delaunay triangulation is proposed to determine the adjacent extreme points,and then the local mean function and local envelope function are calculated effectively.Thirdly,a new stopping criteria of 2D-sifting process is proposed based on the position information of bidimensional product function(BPF)and the value of the envelope estimation function.Finally,the BPFs are extracted effectively in a sifting process.The experimental results show that NBLMD is capable of implementing multiscale analysis of images effectively and quickly.The comparison results illustrate that NBLMD outperforms bidimensional LMD(BLMD)and bidimensional empirical mode decomposition(BEMD)for image multiscale analysis.

     

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