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Constrained least‐squares estimation of surface curvature and dioptric power from meridional measurements
Author(s) -
Harris W. F.
Publication year - 1992
Publication title -
ophthalmic and physiological optics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.147
H-Index - 66
eISSN - 1475-1313
pISSN - 0275-5408
DOI - 10.1111/j.1475-1313.1992.tb00256.x
Subject(s) - curvature , constraint (computer aided design) , surface (topology) , zonal and meridional , least squares function approximation , mathematics , power (physics) , mathematical analysis , geometry , optics , physics , statistics , atmospheric sciences , quantum mechanics , estimator
A dioptric power or surface curvature may be presumed or known to be of some particular type, for example spherical, or astigmatic and with a particular nearest equivalent sphere. Such knowledge or presumption represents a constraint on the power or curvature. This paper shows how meridional measurements can be used to obtain least‐squares estimates of surface curvature or dioptric power under the constraint.