Cartesian zernike polynomials

Question

Cartesian zernike polynomials

fringedigm opened this issue 8 years ago · comments

The current circular zernike cartesian polynomials in zernikecartesian(coefficient,x,y) for Z29 and Z30 are inconsistent with their polar form. I think the cartesian forms should be:
Z29 = Z[29] * 4_y_(35_r__6-60_r4+30*r2-4)
Z30 = Z[30] * 4_x_(35_r__6-60_r4+30*r2-4)

Deleted user · Answer 1 · Fri Sep 30 2016 00:37:54 GMT+0800 (China Standard Time)

Are these fringe zernike polynomials?

Adam

On Thu, Sep 29, 2016 at 08:48:44AM -0700, fringedigm wrote:

The current circular zernike cartesian polynomials in zernikecartesian(coefficient,x,y) for Z29 and Z30 are inconsistent with their polar form. I think the cartesian forms should be:
Z29 = Z[29] * 4_y_(35_r__6-60_r4+30*r2-4)
Z30 = Z[30] * 4_x_(35_r__6-60_r4+30*r2-4)

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#10

Xing Fan · Answer 2 · Fri Sep 30 2016 02:42:43 GMT+0800 (China Standard Time)

I think fringedigm is right, is should be -4 not +10. Thank you fringedigm!