Equirectangular distortion?

I create an interactive visual element by using the panoramic feature 360 of facebook, the problem that I am running is extreme distortion that happens at the poles when the picture turns into a 3-d element.  I need to overlay information on a globe (which is an equidistant cylindrical projection) and to take into account the distortion.  Essentially, I need to recreate the same effect that a panoramic image 360 sewn together.

I've read articles much, much, much, but that you have not found a way to take something I designed flat in Illustrator, then apply a distortion so that when it is wrapped it appears without distortion. ( How you calculate the equidistant cylindrical Projection distort?-Geographic Information Systems stack Exchange )

geoproj.jpg

It's the distortion that I need to create.  Facebook automatically recognizes a panoramic picture 360 flat (with the right metadata) and creates a projection equirectagular (view from the inside of the sphere).

Img_13_Latlong.jpg

Another example of distortion equirectangular.

Yet once, how can I reproduce this distortion on something that I've designed so we can overlay a 360 card which is equirectangular?

There is a Flaming Pear called Felxify plugin that is designed to do this kind of thing: Flexify 2 - Flaming Pear Software .

Tags: Photoshop

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