Document Detail


Power vectors: an application of Fourier analysis to the description and statistical analysis of refractive error.
MedLine Citation:
PMID:  9255814     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
The description of sphero-cylinder lenses is approached from the viewpoint of Fourier analysis of the power profile. It is shown that the familiar sine-squared law leads naturally to a Fourier series representation with exactly three Fourier coefficients, representing the natural parameters of a thin lens. The constant term corresponds to the mean spherical equivalent (MSE) power, whereas the amplitude and phase of the harmonic correspond to the power and axis of a Jackson cross-cylinder (JCC) lens, respectively. Expressing the Fourier series in rectangular form leads to the representation of an arbitrary sphero-cylinder lens as the sum of a spherical lens and two cross-cylinders, one at axis 0 degree and the other at axis 45 degrees. The power of these three component lenses may be interpreted as (x,y,z) coordinates of a vector representation of the power profile. Advantages of this power vector representation of a sphero-cylinder lens for numerical and graphical analysis of optometric data are described for problems involving lens combinations, comparison of different lenses, and the statistical distribution of refractive errors.
Authors:
L N Thibos; W Wheeler; D Horner
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Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, P.H.S.; Review    
Journal Detail:
Title:  Optometry and vision science : official publication of the American Academy of Optometry     Volume:  74     ISSN:  1040-5488     ISO Abbreviation:  Optom Vis Sci     Publication Date:  1997 Jun 
Date Detail:
Created Date:  1997-09-30     Completed Date:  1997-09-30     Revised Date:  2008-11-21    
Medline Journal Info:
Nlm Unique ID:  8904931     Medline TA:  Optom Vis Sci     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  367-75     Citation Subset:  IM    
Affiliation:
School of Optometry, Indiana University, Bloomington, USA. thibos@indiana.edu
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MeSH Terms
Descriptor/Qualifier:
Computer Graphics
Data Interpretation, Statistical*
Eyeglasses* / standards,  statistics & numerical data
Fourier Analysis*
Humans
Optics and Photonics
Optometry / methods
Refraction, Ocular
Refractive Errors / therapy*
Grant Support
ID/Acronym/Agency:
R01 EY05109/EY/NEI NIH HHS
Comments/Corrections
Comment In:
Optom Vis Sci. 2001 Jan;78(1):6-7   [PMID:  11233337 ]
Optom Vis Sci. 1997 Jun;74(6):339-41   [PMID:  9255812 ]

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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