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  • Jun 20, 2026, 10:27 PM

    alpha controls how squished the ellipsoid is: zero alpha = no curvature at all (degenerates into flat disc) so all micro-normals are oriented the same.

    in the anisotropic case, as far as i understand, the two alphas are slightly different: they control how much the ellipsoid is stretched in the tangent/bitangent directions.

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  • Jun 20, 2026, 10:28 PM

    relevant bit that defines the parameter of trowbridge-reitz distribution as the "squashedness" of the ellipsoid ("e" is basically alpha here, replace sin^2 with 1-cos^2 and the usual form will become apparent)

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