Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape.
An orthonormal hexagonal Zernike basis set is generated from circular Zernike polynomials apodized by a hexagonal mask by use of the Gram-Schmidt orthogonalization technique. Results for the first 15 hexagonal Zernike polynomials are shown. The Gram-Schmidt orthogonalization technique presented can be extended to both apertures of arbitrary shape and other basis functions.
Upton
Robert
R
Association of Universities for Research in Astronomy, New Initiatives Office, 950 North Cherry Avenue, Tucson, Arizona 85721, USA. rupton@noao.edu
Ellerbroek
Brent
B