文献类型：期刊文献

英文题名：General Form for Obtaining Unit Disc-Based Generalized Orthogonal Moments

作者：Zhu, Hongqing[1];Yang, Yan[1];Zhu, Xiaoli[1];Gui, Zhiguo[2];Shu, Huazhong[3]

机构：[1]E China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China;[2]North Univ China, Natl Key Lab Elect Measurement Technol, Taiyuan 030051, Peoples R China;[3]Southeast Univ, Sch Comp Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China

年份：2014

卷号：23

期号：12

起止页码：5455

外文期刊名：IEEE TRANSACTIONS ON IMAGE PROCESSING

收录：;EI(收录号：20144700235758);WOS:【SCI-EXPANDED(收录号:WOS:000345235900004)】；

基金：This work was supported in part by the National Basic Research Program of China under Grant 2011CB707904 and in part by the National Natural Science Foundation of China under Grant 61371150, Grant 61271357, and Grant 61271312. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Jean-Baptiste Thibault.

语种：英文

外文关键词：General form; unit disc; generalized radial polynomials; recurrence relations; rotation invariants; orthogonal moments

摘要：The rotation invariance of the classical disc-based moments, such as Zernike moments (ZMs), pseudo-ZMs (PZMs), and orthogonal Fourier-Mellin moments (OFMMs), makes them attractive as descriptors for the purpose of recognition tasks. However, less work has been performed for the generalization of these moment functions. In this paper, four general forms are developed to obtain a class of disc-based generalized radial polynomials that are orthogonal over the unit circle. These radial polynomials are scaled to ensure numerical stability, and some useful properties are discussed for potential applications they could be used in. Then, these scaled radial polynomials are used as kernel functions to construct a series of unit disc-based generalized orthogonal moments (DGMs). The variation of parameters in DGMs can form various types of orthogonal moments: 1) generalized ZMs; 2) generalized PZMs; and 3) generalized OFMMs. The classical ZMs, PZMs, and OFMMs correspond to a special case of these three generalized moments for which the free parameter alpha = 0. Each member of this family will share some excellent properties for image representation and recognition tasks, such as orthogonality and rotation invariance. In addition, we have also developed two algorithms, the so-called m-recursive and n-recursive methods for the computation of these proposed radial polynomials to improve the numerical stability. Experimental results show that the proposed methods are superior to the classical disc-based moments in terms of image representation capability and classification accuracy.