These observations allow one to formalize the definition of reflection: a reflection is an involutive isometry of an Euclidean space whose set of fixed points is an affine subspace of codimension 1.
这察允许我们形式化反射的定义: 反射欧里得空间的对等距同构,它的不动点集维度为 1 的仿射子空间。
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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符合一额外标准的解决方案,在我们的例子中,额外标准就是指射变换。