Interesting new spherical basis from @miwanicki called "Ambient Dice".
http://miciwan.com/EGSR2017/AmbientDice.pdf … that includes a beautiful 12-element RBFpic.twitter.com/8HyiKlkHSa
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Spherical Gaussians have global support on the sphere, which made them not really that interesting for our use case
Haven't looked much into wavelets, but main concern for them is that you might needs quite a few coeffs for decent quality of reconstruction
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Coeff count depends on speed of convergence. Haar is too local, SH is too smooth, need wavelets that converge fast by breaking these rules.
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Daubechies wavelets aim for increasing smoothness and moments. Picture a non-continuous Wavelet like db4 optimized for convergence.
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