Klyce Stephen D, Karon Michael D, Smolek Michael K
LSU Eye Center, Louisiana State University Health Sciences Center, New Orleans, Louisiana 70112, USA.
J Refract Surg. 2004 Sep-Oct;20(5):S537-41. doi: 10.3928/1081-597X-20040901-25.
Zernike expansion has been selected for use in describing wavefront aberrations in the human eye. The advantages and limitations of this approach are assessed for eyes with varying degrees of aberration.
Corneal topography examinations were taken with the Nidek OPD-Scan topographer/aberrometer. These higher data density corneal topography examinations were converted to height data and subsequently to wavefront representations. System noise was evaluated with a 2D frequency analysis of 43-D test balls. Both Zernike polynomials and 2D Fourier transforms were used to evaluate fidelity in the presentation of the point spread function. A display format for potential clinical use was developed based upon Zernike decomposition.
Systematic noise from the corneal topographer was found to be minimal and, when eliminated, produced small changes in the point spread function. Using Zernike decomposition up to the 30th order failed to preserve the higher frequency aberrations present in aberrated eyes. Use of a Zernike decomposition display with a fixed micron scale presented only clinically significant details of spherical aberration, coma, trefoil, irregular components above third order and total higher-order aberrations (above second order).
Zernike polynomials excel in extracting the low-order optical characteristics of visual optics. Zernikes accurately represent both low- and high-order aberrations in normal eyes where high-order aberrations are clinically insignificant. For eyes after corneal surgery or eyes with corneal pathology such as keratoconus that have significant higher-order aberrations, the Zernike method fails to capture all clinically significant higher-order aberrations.
已选用泽尼克展开式来描述人眼的波前像差。针对具有不同程度像差的眼睛,评估了这种方法的优缺点。
使用尼德克OPD-Scan角膜地形图仪/像差仪进行角膜地形图检查。将这些具有更高数据密度的角膜地形图检查转换为高度数据,随后转换为波前表示形式。通过对43-D测试球进行二维频率分析来评估系统噪声。使用泽尼克多项式和二维傅里叶变换来评估点扩散函数表示的保真度。基于泽尼克分解开发了一种潜在临床应用的显示格式。
发现角膜地形图仪的系统噪声极小,消除后点扩散函数仅有微小变化。使用高达30阶的泽尼克分解无法保留像差眼中存在的高频像差。使用具有固定微米尺度的泽尼克分解显示仅呈现了球差、彗差、三叶草像差、三阶以上不规则成分以及总高阶像差(二阶以上)的临床显著细节。
泽尼克多项式在提取视觉光学的低阶光学特性方面表现出色。在高阶像差临床意义不大的正常眼中,泽尼克多项式能准确表示低阶和高阶像差。对于角膜手术后的眼睛或患有圆锥角膜等角膜病变且具有显著高阶像差的眼睛,泽尼克方法无法捕捉所有临床显著的高阶像差。