电子学报2017，Vol.45Issue(4)：826-831,6.DOI:10.3969/j.issn.0372-2112
基于双正交小波变换的矩不变量
Moment Invariants Based on Biorthogonal Wavelet Transform
摘要
Abstract
It's a key problem to find wavelet invariants to the transformation of scale,translation and rotation in pattern recognition using multi-resolution analysis.Moment invariant is a mature method on theory and applications.This paper links the moment invariants with the approximation coefficients of image wavelet decomposition.A novel biorthogonal wavelet moment invariant is derived from the biorthogonality of the spatial basis functions.The experimental results are also provided to confirm the correctness of the theoretical derivation.After that,the limiting condition of the conclusion is analyzed by taking Haar wavelet as an example.Both theoretical analysis and experimental verification show that the wavelet moments of higher order than smoothness can be calculated within required accuracy.And the complete theoretical and experimental results are obtained.Finally,some problems to be paid attention to in practical application are pointed out.关键词
模式识别/多尺度分析/双正交小波/不变矩/平滑性Key words
pattern recognition/multi-scale analysis/biorthogonal wavelets/invariant moment/smoothness分类
信息技术与安全科学引用本文复制引用
刘斌,高强..基于双正交小波变换的矩不变量[J].电子学报,2017,45(4):826-831,6.基金项目
国家自然科学基金面上项目(No.61471160,No.61301144) （No.61471160,No.61301144）
湖北省自然科学基金重点项目(No.2012FFA053) （No.2012FFA053）
