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正交旋转不变V矩及其在图像重建中的应用

DOI: 10.16383/j.aas.2015.c140347, PP. 376-385

Keywords: V系统,正交旋转不变矩,正交分段多项式,图像重建,图像检索

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Abstract:

?定义在单位圆盘上的正交旋转不变矩函数(如Zernike矩)具有非常广泛的应用.本文基于一类正交分段多项式函数系--V系统,构造了一种新型的矩函数,称之为正交旋转不变V矩(简称为V矩).除了正交性、旋转不变性之外,由于V系统具有次数低、表达式简单的优点,V矩能够避免传统矩函数中高阶多项式的计算,从而能够保证数值稳定性,降低计算复杂度.实验结果表明,V矩比传统的正交旋转不变矩具有更好的图像重建与图像检索结果.

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