I'm familiar with Zernike polynomials as they relate to optical wavefront abberations at a high level from working as an optical technician but I don't really understand any of the mathematics behind them. What would I need to learn in order to fully grasp Zernike polynomials?
2026-03-29 01:34:34.1774748074
Prerequisites for understanding Zernike Polynomials
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Understand their orthogonality properties and symmetries. I didn't understand them deeply until I started plotting them (using Mathematica). It may be helpful to look into their infinite-order expansion, but that really depends upon why you want to use them.