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Hair rendered with Maxwell. Image courtesy of Mihai Iliuta

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The root-to-tip texture is read vertically (only the first column matters)  

 

 

A color map applied on the UV Channel = 1, provides different colors across the surface. The map values are assigned regarding the surface UVs

 

 

Note

Keep in mind that the surface mapping (channel 1) depends completely on the capability to transfer the UVs from the surface to the fiber by the hair generator. 

Some hair generators, like Maya PaintFX does not transfer the surface UVs to the fibers, so they could not use this surface mapping feature. 

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Image and tutorial by Jerome Denis