First, by redefining the within class scatter matrix and the between class scatter matrix, a new null space method was presented.

首先，通过重新定义样本的类内散布矩阵和类间散布矩阵，提出了一种新的零空间法。

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Firstly space transform method was used to transform initial kernel between class scatter matrix and kernel total scatter matrix, so the kernel total scatter matrix became positive definition.

利用空间变换的有关理论，使得变换后的核总体散布矩阵满足非奇异性；

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