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Cartographer asks: 3d scan of imperfect globe to a 2d Equilateral Projection?

Vigilus
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Vigilus null
I'm using blender.  The hand painted globe I scanned using an Artec Space Spider.

I'm trying to find a way to reshape the UV map in such a way that the 3d globe becomes a standard equilateral projection or 2:1 aspect ratio that accurately depicts the world.  

This picture shows the rough layout of the UV map. As you can see, it's nowhere near an equilateral projection.

Click image for larger versionNameTouchingUpPNGViews8Size1650 KBID110312

I'm working from this imperfect sphere (which was a 3d scan that's been touched up, no mesh work has been done).

Click image for larger versionNameGlobegame Prototype workPNGViews9Size8613 KBID110313

Here is what the mesh looks like overlaying the UV map

Click image for larger versionNameMeshoverlayJPGViews9Size5732 KBID110314

This is the reverse of the process most people take when handling spheres, which is why there is little documentation on this precise process, at least that I've found.  Scanning from a globe allowed me to spend 4 years slowly designing the world and incorporating incredible depth to the world I'm crafting.  I'm looking for a way to put the UV map onto a perfect sphere.   

Any assistance would be greatly appreciated.  Thank you!  

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