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仿射高斯描绘子及其在模式识别中的应用*

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Keywords: 仿射高斯描绘子,协方差矩阵,仿射变换,特征值,特征向量,紧化

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Abstract:

在不同位置、从不同角度拍摄同一个二维景物,得到的图像几何形状是不同的,这种几何变形通常可用仿射变换来描述.因此,寻找一组关于仿射变换不变的特征是识别这类图像的关键.本文构造一组仿射不变的特征,即仿射高斯描绘子.构造过程主要是,先计算图像的协方差矩阵,再由该矩阵的特征值和特征向量生成一组同心椭圆,进而利用二维高斯函数构造出仿射高斯描绘子.将这些仿射不变量用于模式识别,以获得较高的识别率.

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