title: Modeling of corneal surfaces with radial polynomials.
abstract: We consider analytical modeling of the anterior corneal surface with a set of orthogonal basis functions that are a product of radial polynomials and angular functions. Several candidate basis functions were chosen from the repertoire of functions that are orthogonal in the unit circle and invariant in form with respect to rotation about the origin. In particular, it is shown that a set of functions that is referred herein as Bhatia-Wolf polynomials, represents a better and more robust alternative for modeling corneal elevation data than traditionally used Zernike polynomials. Examples of modeling corneal elevation are given for normal corneas and for abnormal corneas with significant distortion.
authors.affiliation: School of Engineering, Griffith University, Gold Coast Mail Centre, Australia. r.iskander@mailbox.gu.edu.au
authors.forename: D Robert
authors.initials: DR
authors.lastname: Iskander
authors.forename: Mark R
authors.initials: MR
authors.lastname: Morelande
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Collins
authors.forename: Brett
authors.initials: B
authors.lastname: Davis
mesh_terms: D003198:Computer Simulation; D003315:Cornea / Q000033:anatomy & histology*; D019781:Corneal Topography; D006801:Humans; D008953:Models, Anatomic; D013499:Surface Properties