joshuacook / zernike

the Zernike Polynomials

A program in Python to generate, evaluate, and visualize Zernike polynomials, a family of orthogonal polynomials over the unit disk.

Run plotting program

% python bin/menu.py

This command will display the menu:

      Notebook Menu
      1. Configure Notebook
      2. Add Polynomial
      3. Plot Polynomial 
      4. Compare 2-D and 3-D plots
      5. Quit

A sample plot

Choose 2. Add Polynomial and enter an n value of 4, and m value of 2.

      Notebook Menu
      1. Configure Notebook
      2. Add Polynomial
      3. Plot Polynomial 
      4. Compare 2-D and 3-D plots
      5. Quit 
    
Polynomials in Notebook
-----------------------
Enter an option: 2
Enter an n value: 4
Enter an m value: 2
Added a new polynomial.

Choose 4. Compare 2-D and 3-D plots. Enter (N), then (Y) to show but not save a plot.

zernike's Issues

Download research papers

Orthogonal polynomials