Image analysis by Tchebichef moments
Image analysis by Tchebichef moments
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DOI：
10.1109/83.941859
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发表时间：
2001-09-01
影响因子：
10.6
通讯作者：
Lee, PA
中科院分区：
文献类型：
--
作者：
Mukundan, R;Ong, SH;Lee, PA
本文介绍了一组基于离散的切切夫多项式的正交矩函数。切比切夫矩可以有效地作为二维图像分析的模式特征。由于基集在图像坐标空间的离散域中是正交的，因此本文提出的矩的实现不涉及任何数值逼近。这个性质使得切比切夫矩优于传统的正交矩，如勒让德矩和泽尼克矩，在保持所需的分析性质方面，以确保在一个矩集中的信息冗余。本文还详细介绍了切比切夫矩的各个计算方面，并利用图像重建的方法演示了其特征表示能力。
This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of moments proposed in this paper does not involve any numerical approximation, since the basis set is orthogonal in the discrete domain of the image coordinate space. This property makes Tchebichef moments superior to the conventional orthogonal moments such as Legendre moments and Zernike moments, in terms of preserving the analytical properties needed to ensure information redundancy in a moment set. The paper also details the various computational aspects of Tchebichef moments and demonstrates their feature representation capability using the method of image reconstruction.