Microfacets Theory: A CDF for normal distribution given incident direction -


the paper microfacet models refraction through rough surfaces, page 3 section 3.1, describes ndf.
the problem: given incident ray v i'd generate cdf f given angle θ gives probability normals distributed @ or less θ v, i.e. dot(v,m)<=cos(θ) w.p. f(θ).

for v = n n macrosurface normal simple (assuming isotropic ndf):

formula1

which easy compute common ggx or beckmann ndfs.

the paper gives formula formula2 harder integrate , still not useful.

any appreciated.


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