SOLVING THE MATRIX FORM OF PRENTICE EQUATION FOR DIOPTRIC POWER

被引：2

作者：

HARRIS, WF

机构：

[1] Department of Optometry, Rand Afrikaans University, Johannesburg

来源：

OPTOMETRY AND VISION SCIENCE | 1991年 / 68卷 / 03期

关键词：

PRENTICE EQUATION; INVERSE OF PRENTICE EQUATION; PRISMATIC EFFECT; DIOPTRIC POWER MATRIX; GENERALIZED INVERSE; DECENTRATION; DIOPTRIC POWER GENERATOR;

D O I：

10.1097/00006324-199103000-00004

中图分类号：

R77 [眼科学];

学科分类号：

100212 ;

摘要：

The matrix form of Prentice's equation is solved completely for dioptric power. Solutions in matrix form are presented. For any specified position on a lens and any specified prismatic effect at that position one can calculate a particular power consistent with the specified information. One can also determine the complete set of consistent powers. The purpose of the paper is essentially theoretical: it is to complete the mathematical basis for answering any conceivable question concerning Prentice's equation.

引用

页码：178 / 182

页数：5

共 6 条

[1]

Harris W.F., Generalizing Long’s inversion of the matrix form of Prentice’s equation and the concept of generalized inverse dioptric power, Optom Vis Sci, 68, pp. 173-177, (1991)

[2]

Graybill F.A., Matrices with Applications in Statistics, (1983)

[3]

Harris W.F., Mean of a sample of equivalent dioptric powers, Optom Vis Sci, 67, pp. 359-360, (1990)

[4]

Harris W.F., Direct, vec and other squares, and sample variance-covariance of dioptric power, Ophthal Physiol Opt, 10, pp. 72-80, (1990)

[5]

Long W.F., A matrix formalism for decentration problems, Am J Optom Physiol Opt, 53, pp. 27-33, (1976)

[6]

Keating M.P., An easier method to obtain the sphere, cylinder, and axis from an off-axis dioptric power matrix, Am J Optom Physiol Opt, 57, pp. 734-737, (1980)

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