I was really hoping to find a locally supported functions that would produce a good reconstruction with only 3 coeffs (verts of tri)
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Good questions :) Though i think of BiOB and all the PTF math as just consequence of projection minimizing L2 error rather than bending ;)
But should we really focus on looking for basis with more locality than SH and more smoothness than Haar? I'm not convinced
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At some point it's less about just reconstruction, more about flexibility
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We can reconstruct irradiance efficiently and in practice we don't really need to *reconstruct* radiance
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