title: Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape.
abstract: 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.
authors.affiliation: Association of Universities for Research in Astronomy, New Initiatives Office, 950 North Cherry Avenue, Tucson, Arizona 85721, USA. rupton@noao.edu
authors.forename: Robert
authors.initials: R
authors.lastname: Upton
authors.forename: Brent
authors.initials: B
authors.lastname: Ellerbroek