Zernike moment ( c i 0 , i = 0 , 2 , 4 , 6 , 8 , 10 )

c 0 0 = β 0 , 0 , 0 X 0 , 0

c 2 0 = β 2 , 0 , 0 X 0 , 0 + β 2 , 0 , 2 X 0 , 2

c 4 0 = β 4 , 0 , 0 X 0 , 0 + β 4 , 0 , 2 X 0 , 2 + β 4 , 0 , 4 X 0 , 4

c 6 0 = β 6 , 0 , 0 X 0 , 0 + β 6 , 0 , 2 X 0 , 2 + β 6 , 0 , 4 X 0 , 4 + β 6 , 0 , 6 X 0 , 6

c 8 0 = β 8 , 0 , 0 X 0 , 0 + β 8 , 0 , 2 X 0 , 2 + β 8 , 0 , 4 X 0 , 4 + β 8 , 0 , 6 X 0 , 6 + β 8 , 0 , 8 X 0 , 8

c 10 0 = β 10 , 0 , 0 X 0 , 0 + β 10 , 0 , 2 X 0 , 2 + β 10 , 0 , 4 X 0 , 4 + β 10 , 0 , 6 X 0 , 6 + β 10 , 0 , 8 X 0 , 8 + β 10 , 0 , 10 X 0 , 10