The paper presents paraxial analysis of special types of zoom lenses, which are composed of four members with variable focal length. The position of optical center of these systems is required to be fixed for a given value of focal length (i.e., the position of the optical center does not depend on object distance for given value of focal length of the zoom). The formulas that enable the calculation of the optical powers of individual members of such a zoom lens are derived from--and the practical application of the derived formulas is demonstrated with--an example. Such optical systems represent a completely new family of zoom optical systems with applications in measuring systems in photogrammetry, computer vision, triangulation sensors, fringe projection techniques, surveying, machine vision, and so forth.

中文翻译：

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由可变焦距部件组成的具有光学中心固定位置的四组件变焦镜头的近轴设计

本文介绍了特殊类型的变焦镜头的近轴分析，该变焦镜头由四个具有可变焦距的部件组成。对于给定的焦距值，这些系统的光学中心位置需要固定（即，对于给定的变焦焦距值，光学中心的位置不取决于物距）。可以从这样的示例中得出能够计算此类变焦镜头的各个部件的光焦度的公式，并通过示例演示该公式的实际应用。这样的光学系统代表了变焦光学系统的全新系列，并应用于摄影测量，计算机视觉，三角测量传感器，条纹投影技术，测量，机器视觉等测量系统中。