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。
Now it should be a gradient field.
那么它应该就是一个梯度场。
The problem is not every vector field is a gradient.
问题是，不是所有向量场都是梯度。
为什么要说F是一个梯度场？
So, indeed, this is not a gradient field.
因此这不是一个梯度场。
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。
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。
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。
也就是梯度场。
Say that it is a gradient field.
如果F是梯度场。
It is a gradient field. We need three conditions.
这是一个有势场，我们需要三个条件。
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。
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。
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。
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