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基于离散正交矩的图像模糊不变性研究高月芳 陈国华 王敏琴 肖 宿


   (1.华南理工大学 计算机科学与工程学院, 广州 510641; 2.华南农业大学 信息学院 人机交互研究中心,广州 510642)

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  摘 要:提出一种基于离散正交Tchebichef矩的模糊不变矩构造算法,其对中心对称点扩散函数造成的模糊图像具有不变性。该不变矩的构造与基于连续矩构造的模糊不变矩思想相似,但其在计算过程中不存在离散近似误差和坐标变换误差,故在有噪声和无噪声情况下均具有更好的模糊不变性。仿真实验验证了本算法的可行性。

  关键词:模糊不变性; 离散正交矩; 对称点扩散函数

  中图分类号:O235 文献标志码:A

   文章编号:10013695(2009)03115403

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  Research of image blurinvariants using discrete orthogonal moments

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  GAO Yuefang1, 2, CHEN Guohua1, WANG Minqin1, XIAO Su1

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  (1. School of Computer Science & Engineering, South China University of Technology, Guangzhou 510641, China; 2. Research Center of Human Computer Interaction, College of Informatics, South China Agricultural University, Guangzhou 510642, China)

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  Abstract:This paper presented a novel method to construct blurinvariant moments based on discrete orthogonal Tchebichef moments in order to deal with blur images affected by a centrosymmetric point spread function (PSF). The structure of proposed blurinvariants was very similar to the ones proposed by Flusser et c. and Wee et c., but the paper’s derivation did not involve numerical approximation of continuous integrals and coordinate space transformation. The blurinvariants have better invariance compared with the ones proposed by Flusser et c. and Wee et c., and validated random noise stability through experiments.

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