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How to find a proper tessellation level for a surface

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Hi, guys, I try to draw a sphere in 3D space. The first job is to compute the sampling points on the sphere surface. Tessellation method is to sampling n points in U direction and m points in V direction. So the total number of sampling points is n*m. I want to make the sphere look smooth and keep the number of tessellation points as small as possible. How did I find a proper n and m? If the smooth is priority 1, them the tessellation level is higher and better. If consider the computation, too large tessellation level is not neccessary, because one pixel in Viewport only cover a definitive range in world space. I try to find some related material via google, but I don't find it. Could you tell me how to do this?

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