Bandelet变换及其逼近特性分析  

Bandelet Transform and Analysis of Its Approximation Characteristics

作　　者：黄永[1] 

机构地区：[1]昭通学院数学与统计学院,云南昭通657000

出　　处：《华侨大学学报（自然科学版）》2016年第1期62-66,共5页Journal of Huaqiao University(Natural Science)

基　　金：云南省教育厅科学研究基金资助项目(2014Y499)

摘　　要：首先,从几何流和地平线模型出发,分析流积分及其扫描带内的边缘表达;其次,抑制离散二元小波基函数的不足,构建Bandelet变换的标准正交基;最后,对Bandelet变换在扫描带内的逼近特性进行分析,构建估计边缘和真实边缘的逼近误差计算公式.结果表明:文中方法在图像边缘表达上可以得到最优框架.Firstly, the flow integral and the edge expression in the scanning band are analyzed from the geometric flow and the horizon model. Secondly, the standard orthogonal basis of Bandelet transform is built by considering the problem of the suppression for the discrete wavelet basis functions. Finally, we analyze the approximation property of the Bandelet transform in the scanning band, and construct the approximate error formula for the estimating edge and the real edge. Results show that the optimal frame can be obtained by the image edge expression.

关 键 词：BANDELET变换 基函数 逼近特性 估计边缘 

分 类 号：TN919.81[电子电信—通信与信息系统]