This study was funded by the Department of Employment and Learning (Belfast, UK).
Mathematics of Zernike polynomials: a review
Article first published online: 27 APR 2011
© 2011 The Authors. Clinical and Experimental Ophthalmology © 2011 Royal Australian and New Zealand College of Ophthalmologists
Clinical & Experimental Ophthalmology
Volume 39, Issue 8, pages 820–827, November 2011
How to Cite
McAlinden, C., McCartney, M. and Moore, J. (2011), Mathematics of Zernike polynomials: a review. Clinical & Experimental Ophthalmology, 39: 820–827. doi: 10.1111/j.1442-9071.2011.02562.x
- Issue published online: 3 NOV 2011
- Article first published online: 27 APR 2011
- Accepted manuscript online: 15 MAR 2011 05:17AM EST
- Received 6 December 2010; accepted 27 February 2011.
- higher order aberration (HOA);
- refractive surgery;
- Zernike polynomials
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.