We like to call these operations affine transformations.

我们喜欢称这些操作为仿射变换。

So the fully scientific description would be that we add a regularization term that stipulates, that these colors only undergo affine transformations.

所以完全科学的描述就是，我们在公式中添加一个正则项，规定这些颜色只能进行仿射变换。

This means that there are a ton of different possible solutions for transferring the colors, and we're trying to steer the optimizer towards solutions that adhere to some additional criterion, in our case, the affine transformations.

它意味着转换颜色有许多不同可能的解决方案，而我们试图引导优化算法采取那些符合一些额外标准的解决方案，在我们的例子中，额外标准就是指仿射变换。

Now the machine needs to be consistent and careful not to distort the face too much, so it only uses affine transformations, essentially using a scale, rotation, and shear to preserve points and parallel lines.

现在机器需要保持一致，并且小心不要使面部扭曲太多，因此它只使用仿射变换，本质上是使用缩放、旋转和剪切来保留点和平行线。