[Verse 1] Deep in your retina, cells are computing A difference of Gaussians, signals commuting Center-surround fields, they're checking the scene Bright spot on darkness makes neurons convene ON-center fires when contrast appears But uniform light just disappears [Chorus] DoG computation, center minus surround Band-pass spatial filter, edges get found Whitening the spectrum, flattening the curve Matching optic bandwidth to what we observe Center-surround magic, contrast is king Discarding the background, edges take wing [Verse 2] Natural images follow one over f-squared Power spectrum falling, statistics are shared But center-surround flips that distribution Decorrelates pixels through smart contribution Atick and Redlich proved the connection Information theory meets retinal perfection [Chorus] DoG computation, center minus surround Band-pass spatial filter, edges get found Whitening the spectrum, flattening the curve Matching optic bandwidth to what we observe Center-surround magic, contrast is king Discarding the background, edges take wing [Verse 3] Engineering wisdom hidden in biology Efficient coding solved through retinal ecology Channel capacity matched to world statistics Center-surround proves math isn't just academics Luminance discarded, local contrast amplified Nature's compression algorithm, perfectly applied [Bridge] Why waste precious axons on redundant data When you can preprocess, make signals much cleaner Retinal ganglion cells learned optimization Through millions of years of neural refinement Suppressed by uniform, excited by borders Following information-theoretic orders [Verse 4] Two Gaussian kernels, one narrow, one wide Subtracting their outputs, redundancy dies Mexican hat filters in visual cortex too The same DoG principle carries right through From photoreceptors to higher brain regions Center-surround math spans neural legions [Chorus] DoG computation, center minus surround Band-pass spatial filter, edges get found Whitening the spectrum, flattening the curve Matching optic bandwidth to what we observe Center-surround magic, contrast is king Discarding the background, edges take wing [Outro] From Gaussian differences to redundancy reduction Center-surround shows evolution's contribution Information theory meets retinal design Where biology and mathematics align
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