借助内积关系，给出了欧氏空间的变换是线性变换的两个充要条件，并由此得到一些相关结论。
By the relation transvection, we obtain two necessary and sufficient conditions for the transformation being linear transformation in Euclid Spaces, and out of it, we have got some conclusions.
镜面反射是欧氏空间中一类很重要的线性变换，在几何空间中有着极其形象的解释。
The specular reflection is a very important linear transformation in Euclidean space, and it has a special geometrical explanation in geometrical space.
利用长度关系给出了欧氏空间的变换为对称变换的若干个充要条件。
A few good necessary and sufficient conditions are given by using length relation for symmetrical transformation on Euclidean space.
借助内积与长度与夹角给出了欧氏空间的变换是反对称变换的若干个充要条件。
A few good necessary and sufficient conditions are given by using inner product and length relation for antisymmetric transformation on Euclidean space.
欧氏距离法的重建效果比小波变换法要差一些，所用时间比小波变换法要少的多；
The performance of Euclidean Distance is inferior to Wavelet Transform, but using much less time, Maximal Distance gets the worst result , while taking the least time.
借助内积与长度与夹角给出了欧氏空间的变换是反对称变换的若干个充要条件。
A few good necessary and sufficient conditions are given by using length relation for symmetrical transformation on Euclidean space.
在距离变换阶段，该方案采用了一种新的三维欧氏距离变换算法，在保证距离测量精度的同时缩短了运算时间。
To reduce the computation time, a new 3d Euclidean distance transformation algorithm was adopted to compute the distance map of the medical image.
在距离变换阶段，该方案采用了一种新的三维欧氏距离变换算法，在保证距离测量精度的同时缩短了运算时间。
To reduce the computation time, a new 3d Euclidean distance transformation algorithm was adopted to compute the distance map of the medical image.
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