Say that it is a gradient field.
如果F是梯度场。
为什么要说F是一个梯度场？
Now it should be a gradient field.
那么它应该就是一个梯度场。
也就是梯度场。
So, indeed, this is not a gradient field.
因此这不是一个梯度场。
It is a gradient field. We need three conditions.
这是一个有势场，我们需要三个条件。
We have said if we have a gradient field then we have this.
如果有一个梯度场，那就能得到这个。
If you have a gradient field then it should have this property.
如果给定一个梯度场，那么它就应该满足这个性质。
And that means also it's a gradient field. It's the same thing.
这意味着，F是个梯度场，这是一样的。
So, in particular, only if you have a conservative field, a gradient field.
特别地，仅当是保守场，即有势场时才可以使用。
An enhanced image is finally reconstructed from the target gradient field by least square fitting.
最后采用最小二乘拟合从目标梯度场重建出增强后的图像。
The problem is not every vector field is a gradient.
问题是，不是所有向量场都是梯度。
Say that f, our vector field is actually the gradient of some function.
也就是向量场f实际上是一个函数的梯度。
Say that f, our vector field is actually the gradient of some function.
也就是向量场f实际上是一个函数的梯度。
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