Yap Pew-Thian, Paramesran Raveendran, Ong Seng-Huat
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798.
IEEE Trans Pattern Anal Mach Intell. 2007 Nov;29(11):2057-62. doi: 10.1109/TPAMI.2007.70709.
This paper shows how Hahn moments provide a unified understanding of the recently introduced Chebyshev and Krawtchouk moments. The two latter moments can be obtained as particular cases of Hahn moments with the appropriate parameter settings, and this fact implies that Hahn moments encompass all their properties. The aim of this paper is twofold: 1) To show how Hahn moments, as a generalization of Chebyshev and Krawtchouk moments, can be used for global and local feature extraction, and 2) to show how Hahn moments can be incorporated into the framework of normalized convolution to analyze local structures of irregularly sampled signals.
本文展示了哈恩矩如何为最近引入的切比雪夫矩和克拉夫楚克矩提供统一的理解。后两种矩可以作为具有适当参数设置的哈恩矩的特殊情况得到,这一事实意味着哈恩矩包含了它们所有的性质。本文的目的有两个:1)展示作为切比雪夫矩和克拉夫楚克矩推广的哈恩矩如何用于全局和局部特征提取,以及2)展示哈恩矩如何纳入归一化卷积框架以分析不规则采样信号的局部结构。