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极坐标值与向量分析之间的相关性。

Correlation between polar values and vector analysis.

作者信息

Naeser K, Behrens J K

机构信息

Department of Ophthalmology, Aalborg Sygehus Syd, Denmark.

出版信息

J Cataract Refract Surg. 1997 Jan-Feb;23(1):76-81. doi: 10.1016/s0886-3350(97)80154-x.

DOI:10.1016/s0886-3350(97)80154-x
PMID:9100111
Abstract

PURPOSE

To evaluate the possible correlation between polar value and vector analysis assessment of surgically induced astigmatism.

SETTING

Department of Ophthalmology, Aalborg Sygehus Syd, Denmark.

METHODS

The correlation between polar values and vector analysis was evaluated by simple mathematical and optical methods using accepted principles of trigonometry and first-order optics.

RESULTS

Vector analysis and polar values report different aspects of surgically induced astigmatism. Vector analysis describes the total astigmatic change, characterized by both astigmatic magnitude and direction, while the polar value method produces a single, reduced figure that reports flattening or steepening in preselected directions, usually the plane of the surgical meridian. There is a simple Pythagorean correlation between vector analysis and two polar values separated by an arch of 45 degrees.

CONCLUSION

The polar value calculated in the surgical meridian indicates the power or the efficacy of the surgical procedure. The polar value calculated in a plane inclined 45 degrees to the surgical meridian indicates the degree of cylinder rotation induced by surgery. These two polar values can be used to obtain other relevant data such as magnitude, direction, and sphere of an induced cylinder. Consistent use of these methods will enable surgeons to control and in many cases reduce preoperative astigmatism.

摘要

目的

评估手术诱导散光的极坐标值与矢量分析评估之间的可能相关性。

设置

丹麦奥尔堡南医院眼科。

方法

采用三角学和一阶光学的公认原理,通过简单的数学和光学方法评估极坐标值与矢量分析之间的相关性。

结果

矢量分析和极坐标值反映了手术诱导散光的不同方面。矢量分析描述了总的散光变化,其特征在于散光的大小和方向,而极坐标值法产生一个单一的、简化的数值,该数值报告在预选方向(通常是手术子午线平面)上的变平或变陡情况。矢量分析与相隔45度弧的两个极坐标值之间存在简单的勾股定理相关性。

结论

在手术子午线上计算的极坐标值表明手术操作的力度或效果。在与手术子午线成45度倾斜的平面上计算的极坐标值表明手术引起的柱镜旋转程度。这两个极坐标值可用于获取其他相关数据,如诱导柱镜的大小、方向和球镜度数。一致地使用这些方法将使外科医生能够控制并在许多情况下减少术前散光。

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