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In addition to Matthew's and Christian's answers, I would add that this is a specific form of the old "double take" trope; in this case the second take is being shown through the observer's eyes, as opposed to it being shown from an external POV.

In addition to Mathew's answer, it might also be to emphasize that the searching person is indeed, well, searching and doesn't initially know where to look exactly. Directly moving its view to the target might on the other hand seem like he knew where to look all the time. So introducing this slight delay of recognition emphasizes the searching process. And ...

This has to do with communicating to the viewer what the intended subject is, when the subject may be ambiguous among other things. A hunter is searching for his prey. A red bird sitting in an apple tree. He pans past several apples, then the bird and then returns to the bird. It's now clear that the red bird is not a red apple. While some viewers may ...