I dont even know the name which I should google it, I tried genie effect, but it`s not actually a genie effect开发者_运维知识库! If someone has an link how to do this in flex,flash, pixel bender, will help a lot as well, or just the name of the animation will help too.
Not sure if it has a different name when it's animated, but what you show in the "before" picture is Pincushion Distortion.
You should be able to achieve this effect with the ft-Cubic Lens Distortion filter. Hat tip to Mark Ransom. Sorry I couldn't figure out how to reply to his post.
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