Transformation of Zernike coefficients: scaled, translated, and rotated wavefronts with circular and elliptical pupils
2007 (English)In: Journal of the Optical Society of America A, ISSN 0740-3232, Vol. 24, no 3, 569-577 p.Article in journal (Refereed) Published
Zernike polynomials and their associated coefficients are commonly used to quantify the wavefront aberrations of the eye. When the aberrations of different eyes, pupil sizes, or corrections are compared or averaged, it is important that the Zernike coefficients have been calculated for the correct size, position, orientation, and shape of the pupil. We present the first complete theory to transform Zernike coefficients analytically with regard to concentric scaling, translation of pupil center, and rotation. The transformations are described both for circular and elliptical pupils. The algorithm has been implemented in MATLAB, for which the code is given in an appendix.
Place, publisher, year, edition, pages
2007. Vol. 24, no 3, 569-577 p.
Algorithms; Eye movements; MATLAB; Polynomials; Pupils; Zernike coefficients; Vision; algorithm; article; biological model; computer assisted diagnosis; computer simulation; human; image enhancement; iris; keratometry; methodology; physiology; reproducibility; rotation; sensitivity and specificity; vision; Algorithms; Computer Simulation; Corneal Topography; Humans; Image Enhancement; Image Interpretation, Computer-Assisted; Iris; Models, Biological; Reproducibility of Results; Rotation; Sensitivity and Specificity; Visual Perception
Atom and Molecular Physics and Optics
IdentifiersURN: urn:nbn:se:kth:diva-7153DOI: 10.1364/JOSAA.24.000569ISI: 000244407300001PubMedID: 17301846ScopusID: 2-s2.0-34047118110OAI: oai:DiVA.org:kth-7153DiVA: diva2:12075
QC 201008092007-05-202007-05-202010-08-09Bibliographically approved