基于分数阶矩的仿射不变特征提取

杨建伟; 李沛遥

doi:10.16383/j.aas.2015.c150264

基于分数阶矩的仿射不变特征提取

doi: 10.16383/j.aas.2015.c150264

杨建伟^,,
李沛遥

1.
南京信息工程大学数学与统计学院南京 210044

基金项目:

国家自然科学基金(61572015,41375115,11301276)资助

详细信息

作者简介:
李沛遥南京信息工程大学数学与统计学院硕士研究生. 主要研究方向为模式识别. E-mail: lpy789@163.com

通讯作者:
杨建伟南京信息工程大学数学与统计学院教授.2003 年获西安交通大学理学博士学位.主要研究方向为模式识别及数值分析.本文通信作者.

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出版历程
- 收稿日期: 2015-05-04
- 修回日期: 2015-09-06
- 刊出日期: 2015-12-20

Affine Invariant Feature Extraction Based on Fractional Order Moment

YANG Jian-Wei^,,
LI Pei-Yao

1.
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044

Funds:

Supported by National Natural Science Foundation of China (61572015, 41375115, 11301276)

摘要

摘要: 仿射不变的特征提取在目标识别和配准中起关键作用, 图像矩是提取仿射不变特征的重要方法, 高阶矩对噪声较敏感, 实际中仅有几个由整数阶矩构造的仿射不变量可用. 本文引入分数阶矩, 它由变形累次积分定义, 不仅充分利用仿射变换映直线为直线这一特性,而且能方便地消除仿射变换前后极角因子的影响. 利用分数阶矩给出了仿射不变量的构造, 传统矩构造的不变量仅是这种构造的特例. 实验结果表明低次矩构造的不变量一般有较好的抗噪性能.
- 分数阶矩 /
- 变形累次积分 /
- 不变量 /
- 仿射变换
Abstract: Extraction of affine invariant features plays a key role in pattern recognition and image registration. Moment invariant method is one of the typical and fundamental methods for the extraction of affine invariant features. However, moment invariants with high orders are sensitive to noise. Consequently, only a few low order moments can be used in practice. In this paper, fractional order moment is proposed and defined by the modified repeated integral. It not only utilizes the property of affine transform that preserves straight lines but also eliminates the non-linear transform of polar angle under affine transformation. Based on the fractional order moment, an algorithm is presented for construction of affine invariants. Invariants which are constructed by traditional moments are only special cases of the invariants constructed by fractional order moments. Experimental results show that moments of lower degree are usually more robustness to noise.
- Fractional order moments /
- modified repeated integral /
- invariants /
- affne transformation

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参考文献(14)

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