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Anisotropic filtering

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Hi, i need implementation software anisotropic filtering, help please understand algorithm. As I understand it, uses a sample on an ellipse rather than a circle (like the square with bilinear filtering), but I do not understand how to calculate this ellipse, please tell me. 

I understand that the major and minor radius of the ellipse depend on the inclination of the plane of the screen space, or can use a vector along which to interpolate texels (x2 -> 2 texel x4 -> 4 texel ...)? i am right ?
P.S.: I am not interested in the code, I am interested in the algorithms
Edited by NEvOl

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This has replies, so locking the unnecessary one. In the future, please avoid cross-posting.

Edit: Sorry, the duplicate titles fooled me. Unlocking this one so you can get some more specific help on the question. Edited by JTippetts

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