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Is there any way to project a 2d square texture on a sphere with some vector magic so it always fills the sphere and aligns with the camera? kinda like the window mapping option in the texture coordinate node.

i'm trying to create a 3d sphere with a billboarded texture so i can use it as a 3dimensional brushstroke.

the texture:

enter image description here

the texture projected on the sphere: (its supposed to look like this from any angle)

enter image description here

Walter
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