The crystalline lens is an important optical element in the eye, responsible for focusing, and which experiences significant changes throughout life. The shape of the lens is usually studied only in the optical area (central 4 to 6 mm). However, for a great number of applications, a description of the full shape of the crystalline lens is required. We propose a new method for the representation of the full shape of the crystalline lens, constructed from 3-dimensional optical coherence tomography images of 133 isolated crystalline lenses (0-71 y/o), which we have called eigenlenses. The method is shown to be compact and accurate to describe not only the full shape of the crystalline lens, but also the optical zone in comparison with other methods. We also demonstrate its application to the extrapolation of the full shape of the crystalline lens from in-vivo optical images of the anterior segment of the eye, where only the central part of the lens visible through the pupil is available, and in the generation (synthesis) of realistic full lenses of a given age. The method has critical applications, among others, in improving and evaluating myopia and presbyopia treatments.

中文翻译：

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特征透镜：全晶状体形状表示的新模型及其应用

晶状体是眼睛中重要的光学元件，负责聚焦，并且在整个生命中都会发生重大变化。通常仅在光学区域（中心4到6毫米）中研究镜片的形状。然而，对于大量应用而言，需要描述晶状体的完整形状。我们提出了一种新的方法来表示晶状体的完整形状，该方法由133个分离的晶状体（0-71 y / o）的3维光学相干断层扫描图像构成，我们将其称为特征透镜。与其他方法相比，该方法紧凑，准确，不仅可以描述晶状体的完整形状，还可以描述光学区域。我们还展示了其在从眼前节的体内光学图像推断晶状体完整形状中的应用，其中只有通过瞳孔可见的晶状体中央部分才可用，并且在世代（合成）给定年龄段的现实全镜。该方法在改善和评估近视和老花眼治疗等方面具有关键应用。