文献类型：期刊文献

英文题名：IMAGE DESCRIPTION WITH NONSEPARABLE TWO-DIMENSIONAL CHARLIER AND MEIXNER MOMENTS

作者：Zhu, Hongqing[1];Liu, Min[1];Li, Yu[1];Shu, Huazhong[2];Zhang, Hui[2]

机构：[1]E China Univ Sci & Technol, Dept Elect & Commun Engn, Shanghai 200237, Peoples R China;[2]Southeast Univ, Lab Image Sci & Technol, Sch Comp Sci & Engn, Nanjing 210096, Peoples R China

年份：2011

卷号：25

期号：1

起止页码：37

外文期刊名：INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE

收录：;EI(收录号：20110913712091);WOS:【SCI-EXPANDED(收录号:WOS:000287667700002)】；

基金：The authors would like to thank the anonymous referees for their helpful comments and suggestions. This work has been supported by National Natural Science Foundation of China under Grant No. 60975004.

语种：英文

外文关键词：Bivariate discrete orthogonal polynomials; nonseparable discrete orthogonal moments; Charlier; Meixner; three-term recurrence relations; second order linear partial difference equations

摘要：This paper presents two new sets of nonseparable discrete orthogonal Charlier and Meixner moments describing the images with noise and that are noise-free. The basis functions used by the proposed nonseparable moments are bivariate Charlier or Meixner polynomials introduced by Tratnik et al. This study discusses the computational aspects of discrete orthogonal Charlier and Meixner polynomials, including the recurrence relations with respect to variable x and order n. The purpose is to avoid large variation in the dynamic range of polynomial values for higher order moments. The implementation of nonseparable Charlier and Meixner moments does not involve any numerical approximation, since the basis function of the proposed moments is orthogonal in the image coordinate space. The performances of Charlier and Meixner moments in describing images were investigated in terms of the image reconstruction error, and the results of the experiments on the noise sensitivity are given.