基于递降阶乘计算的Tchebichef 矩的旋转不变量

吴海勇; 舒华忠; 张  辉; 罗立民

doi:10.11834/jig.20100310

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专辑

基于递降阶乘计算的Tchebichef 矩的旋转不变量
Rotational Invariance of Tchebichef Moments Evaluated via Falling Factor
2010年15卷第3期页码：417
纸质出版：2010
DOI： 10.11834/jig.20100310
稿件说明：

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吴海勇, 舒华忠, 张辉, 罗立民. 基于递降阶乘计算的Tchebichef 矩的旋转不变量[J]. 中国图象图形学报, 2010,15(3):417. DOI： 10.11834/jig.20100310.

WU Haiyong, SHU Huazhong, ZHANG Hui, LUO Limin. Rotational Invariance of Tchebichef Moments Evaluated via Falling Factor[J]. Journal of Image and Graphics, 2010, 15(3): 417. DOI： 10.11834/jig.20100310.

摘要

传统Tchebichef矩的旋转不变量是用几何矩的旋转不变量来表示的，这就不能避免几何矩冗余信息多、对噪声敏感等缺点。提出了一种新的Tchebichef矩的旋转不变量，用降阶阶乘的性质，将它转化为可以利用Tchebichef矩直接计算的Tchebichef中心矩的线性组合。实验表明，提出的描述子具有更好的旋转不变性。

Abstract

Conventional rotational invariants of Tchebichef moments are represented by rotational invariants of geometric moments

therefore the drawbacks of geometric moments

such as high degree of information redundancy and sensitive to noise

are inevitable. New rotational invariants of Tchebichef moments are proposed in this paper. Uusing the properties of falling factor，the proposed moments are transformed to linear combinations of Tchebichef central moments which can be evaluated by Tchebichef moments directly. Experiments show that our descriptor outperformed the conventional descriptor in rotational invariants.