title: Mathematics of Zernike polynomials: a review.
abstract: Monochromatic aberrations of the eye principally originate from the cornea and the crystalline lens. Aberrometers operate via differing principles but function by either analysing the reflected wavefront from the retina or by analysing an image on the retina. Aberrations may be described as lower order or higher order aberrations with Zernike polynomials being the most commonly employed fitting method. The complex mathematical aspects with regards the Zernike polynomial expansion series are detailed in this review. Refractive surgery has been a key clinical application of aberrometers; however, more recently aberrometers have been used in a range of other areas ophthalmology including corneal diseases, cataract and retinal imaging.
authors: School of Biomedical Sciences, University of Ulster, Coleraine, UK. colm.mcalinden@gmail.com
authors: Colm
authors: C
authors: McAlinden
authors: Mark
authors: M
authors: McCartney
authors: Jonathan
authors: J
authors: Moore
mesh_terms: D003315:Cornea / Q000473:pathology / Q000601:surgery*; D019781:Corneal Topography / Q000379:methods*; D006801:Humans; D008962:Models, Theoretical; D012030:Refractive Errors / Q000175:diagnosis*; D054140:Refractive Surgical Procedures; D014792:Visual Acuity