二维主同的变换及其存在和唯一性证明

The 2-D Principal Co-Target Transformation And The Proof on It's Existence and Unique

由于主同的变换能消除各次采样相对目的物的平移、旋转和比例放缩所产生的对数据组的影响而简化了数据的处理过程,因而在模式识别和数据处理中得到了应用,本文给出了二维主同的变换的具体形式及其存在和唯一性的证明。

The 2-dimension principal co-target transformation can be used in the pattern recognition and the data processing, because this transformation dispelled the influence upon sampling data sets due to change of translation, rotation and scale variation against the same object in recurrence,and then simplified the procedure of the data processing. The specific formation of the 2-D principal co-tarrget transformation and the proof on it's existence and along with uniqueness have been given in this paper.