title: Direct transformation of Zernike eye aberration coefficients between scaled, rotated, and/or displaced pupils.
abstract: In eye aberrometry it is often necessary to transform the aberration coefficients in order to express them in a scaled, rotated, and/or displaced pupil. This is usually done by applying to the original coefficients vector a set of matrices accounting for each elementary transformation. We describe an equivalent algebraic approach that allows us to perform this conversion in a single step and in a straightforward way. This approach can be applied to any particular definition, normalization, and ordering of the Zernike polynomials, and can handle a wide range of pupil transformations, including, but not restricted to, anisotropic scalings. It may also be used to transform the aberration coefficients between different polynomial basis sets.
authors.affiliation: Departamento de Física Aplicada, Area de Optica, Universidade de Santiago de Compostela, 15782 Compostela, Galiza, Spain. bara@usc.es
authors.forename: Salvador
authors.initials: S
authors.lastname: Bará
authors.forename: Justo
authors.initials: J
authors.lastname: Arines
authors.forename: Jorge
authors.initials: J
authors.lastname: Ares
authors.forename: Paula
authors.initials: P
authors.lastname: Prado
mesh_terms: D003198:Computer Simulation; D003315:Cornea / Q000503:physiopathology*; D019781:Corneal Topography / Q000379:methods*; D003936:Diagnosis, Computer-Assisted / Q000379:methods*; D006801:Humans; D008954:Models, Biological; D011681:Pupil Disorders / Q000175:diagnosis / Q000503:physiopathology; D012030:Refractive Errors / Q000175:diagnosis* / Q000503:physiopathology*; D012031:Refractometry / Q000379:methods*; D015203:Reproducibility of Results; D012399:Rotation; D012680:Sensitivity and Specificity