数学季刊 ›› 2019, Vol. 34 ›› Issue (2): 138-151.doi: 10.13371/j.cnki.chin.q.j.m.2019.02.003

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期望散射与平均散射的性质及其在纹理分类中的应用

  

  • 接受日期:2018-12-13 出版日期:2019-06-30 发布日期:2020-10-06
  • 作者简介:WANG Juan(1984-), female, native of Shangqiu, Henan, a lecturer of Zhongyuan University of Technology, Ph.D., engages in image processing; ZHAO Jie(1983-), male, native of Kaifeng, Henan, a lecturer of Zhongyuan University of Technology, Ph.D., engages in partial of di®erential equations.
  • 基金资助:
    Supported by the Natural Science Foundation of China(11626239); the Foundation of Education Department of Henan Province(18A110037);

The Properties of Expected Scattering and Averaged Scattering and Their Applications to Texture Classication

  • Accepted:2018-12-13 Online:2019-06-30 Published:2020-10-06
  • About author:WANG Juan(1984-), female, native of Shangqiu, Henan, a lecturer of Zhongyuan University of Technology, Ph.D., engages in image processing; ZHAO Jie(1983-), male, native of Kaifeng, Henan, a lecturer of Zhongyuan University of Technology, Ph.D., engages in partial of di®erential equations.
  • Supported by:
    Supported by the Natural Science Foundation of China(11626239); the Foundation of Education Department of Henan Province(18A110037);

摘要: In order to further improve the effectiveness of image processing, it is necessary that an efficient invariant representation is stable to deformation applied to images. This motivates the study of image representations defining an Euclidean metric stable to these deformation. This paper mainly focuses on two aspects. On the one hand, in this paper,two properties of expected scattering and averaged scattering, i.e., Lipschitz continuity and translation invariance, are proved in detail. These properties support that excepted scattering and averaged scattering are invariant, stable and informative representations. On the other hand, the issue of texture classification based on expected scattering and averaged scattering has been analyzed respectively in this study. Energy features, which are based on expected scattering and averaged scattering, are calculated and used for classification.Experimental results show that starting with the seventh feature, the two approaches can achieve good performance in texture image classification. 

关键词: Translation invariance, Lipschitz continuity, Texture image classiˉcation, Expected scattering, Averaged scattering

Abstract: In order to further improve the effectiveness of image processing, it is necessary that an efficient invariant representation is stable to deformation applied to images. This motivates the study of image representations defining an Euclidean metric stable to these deformation. This paper mainly focuses on two aspects. On the one hand, in this paper,two properties of expected scattering and averaged scattering, i.e., Lipschitz continuity and translation invariance, are proved in detail. These properties support that excepted scattering and averaged scattering are invariant, stable and informative representations. On the other hand, the issue of texture classification based on expected scattering and averaged scattering has been analyzed respectively in this study. Energy features, which are based on expected scattering and averaged scattering, are calculated and used for classification.Experimental results show that starting with the seventh feature, the two approaches can achieve good performance in texture image classification. 

Key words: Translation invariance, Lipschitz continuity, Texture image classiˉcation, Expected scattering, Averaged scattering

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