计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (21): 239-241.

• 工程与应用 • 上一篇    下一篇

平稳小波变换在仿射不变性目标识别中的应用

王凤国,冯象初,张小波   

  1. 西安电子科技大学 理学院 数学系,西安 710071
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-07-21 发布日期:2007-07-21
  • 通讯作者: 王凤国

Stationary wavelet transform for affine invariant image object recognition

WANG Feng-guo,FENG Xiang-chu,ZHANG Xiao-bo   

  1. Department of Mathematics,Xidian University,Xi’an 710071,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-07-21 Published:2007-07-21
  • Contact: WANG Feng-guo

摘要: 寻找相对于平移、尺度、旋转、扭曲不变的仿射不变量是现今多尺度分析在模式识别中应用的关键性问题。以文献[4]定义的仿射不变量为基础,构造了基于平稳小波变换的仿射不变量。通过分析,指出原文中所给绝对仿射不变量存在的缺陷,定义了一种新的绝对仿射不变量。试验结果和分析表明,构造的仿射不变量可以更好地用于目标物体识别。

关键词: 平稳小波变换, 仿射变换, 仿射不变量

Abstract: It’s a key problem to search for affine invariant with respect to translation,scaling,rotation and skewing in multiresolution analysis.Based on affine invariants defined in reference[4],a new affine invariant based on stationary wavelet transform is constructed in this paper.After the analysis of the invariants,their limitation is pointed out and a new kind of absolute affine invariants is defined.Both experimental results and analysis show that the new invariants can be easily applied to image recognition.

Key words: stationary wavelet transform, affine transformation, affine invariant