An alternative mathematical algorithm for the photo- and videokeratoscope

被引：7

作者：

Mahavier, W. Ted ^{[1
]}

Hunt, J. ^{[1
]}

机构：

[1] Lamar Univ, Dept Math, Beaumont, TX 77706 USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 05期

关键词：

ophthalmology; photokeratoscope; videokeratoscope; corneal; modeling; topography; algorithm; Sobolev; steepest; descent; numerical; differential; geometry;

D O I：

10.1016/j.nonrwa.2005.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Due to the resolution of current laser technology, the accuracy of corneal topography as measured by the videokeratoscope is no longer adequate to provide precise enough data for refractive surgery or for the fitting of customized contact lenses. We present an algorithm for recovering corneal topography that makes use of modern differential geometric techniques and numerical descent in Sobolev spaces. We believe this algorithm may be used with the photo- and videokeratoscope to increase the accuracy of the recovered corneal topography. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1223 / 1232

页数：10

共 36 条

[1]

Adams R., 1975, Sobolev space

[2] Measuring higher order optical aberrations of the human eye: techniques and applications [J].