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This article tries to explain Spherical Harmonics in simple words without mathematical terms. And how SH is applied in Radiometric/Photometric

Spherical harmonicsTaylor expansionFourier transformPrimary schoolPolynomial basis functionsBasis functionsBasic functionsBasic function coefficientsSquare wave functionSine basicSine basic functionsPolar coordinatesOrthogonal coordinatesSpherical coordinatesBasic functionRotation invariance