fitzernikes: Least Squares fit to Zernike polynomials

In mlpeck/zernike: Zernike Polynomials

Least Squares fit to Zernike polynomials

Description

Performs a least squares fit of a specified set of Zernike polynomials to a vector of wavefront measurements.

Usage

fitzernikes(wf, rho, theta, eps=0, phi = 0, maxorder = 14, uselm = FALSE, isoseq = FALSE)

Arguments

wf	A vector of wavefront values
rho	A vector of radial coordinates.
theta	A vector of angular coordinates, in radians.
eps	Obstruction fraction of annular aperture.
phi	Orientation of the image, in degrees
maxorder	Maximum Zernike polynomial order
uselm	Boolean: use lm() for least squares fit
isoseq	Boolean: use ISO/ANSI sequencing

Details

wf, rho, and theta must be the same length.

As of version 3.7.0 Zernike polynomials in ISO/ANSI sequence can be used through a call to zpm_cart.

Value

The model fit as returned by lm, or the coefficients of the least squares fit using qr.solve if uselm is FALSE.

Note

The model fit is of the form wf ~ Z0+Z1+Z2+.... With the standard ordering of Zernikes Z0 is the piston term, Z1 and Z2 are x and y tilts, Z3 is defocus, etc.

Author(s)

M.L. Peck [e-mail]

See Also

zpm, zpm_cart, psifit, fftfit, vortexfit, wf_net.

mlpeck/zernike documentation built on April 19, 2024, 3:16 p.m.