Zernike Polynomials

Notes

Plots

 
      Two-Picture Stereograms
          n = 1 (Zernikes 1, 2, 3)
          n = 2 (Zernikes 4, 5, 6, 7, 8)
          n = 3 (Zernikes 9, 10, 11, 12, 13, 14, 15)
          n = 4 (Zernikes 16, 17, 18, 19, 20, 21, 22, 23, 24)
          n = 5 (Zernikes 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35)
          n = 6 (Zernikes 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48)
          n = 1 - 6, m = 0 Zernikes   (Animated gif)
 
      Single-Picture Stereograms
          Zernike 5
          Zernike 6
          Zernike 8
          Zernike 25
          Zernike 35

A good reference for using Mathematica to generate single-picture stereograms is "The Mathematica Programmer II" by Roman Maeder.

 
      Zernike Stereo Wallpaper
          Zernike 5
          Zernike 6
          Zernike 8   (My Favorite)
          Zernike 24
          Zernike 25
          Zernike 35
 
       Density Plots
          n = 1 (Zernikes 1, 2, 3)
          n = 2 (Zernikes 4, 5, 6, 7, 8)
          n = 3 (Zernikes 9, 10, 11, 12, 13, 14, 15)
          n = 4 (Zernikes 16, 17, 18, 19, 20, 21, 22, 23, 24)
          n = 5 (Zernikes 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35)
          n = 6 (Zernikes 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48)