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Cylinder stitching interferometry: with and without overlap regions

机译：圆柱缝合干涉法：有和没有重叠区域

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摘要

Abstract: Since the cylinder surface is closed and periodic in the azimuthal direction, existing stitching methods cannot be used to yield the 360° form map. To address this problem, this paper presents two methods for stitching interferometry of cylinder: one requires overlap regions, and the other does not need the overlap regions. For the former, we use the first order approximation of cylindrical coordinate transformation to build the stitching model. With it, the relative parameters between the adjacent sub-apertures can be calculated by the stitching model. For the latter, a set of orthogonal polynomials, termed Legendre Fourier (LF) polynomials, was developed. With these polynomials, individual sub-aperture data can be expanded as composition of inherent form of partial cylinder surface and additional misalignment parameters. Then the 360° form map can be acquired by simultaneously fitting all sub-aperture data with LF polynomials. Finally the two proposed methods are compared under various conditions. The merits and drawbacks of each stitching method are consequently revealed to provide suggestion in acquisition of 360° form map for a precision cylinder.
机译：摘要：由于圆柱体表面是封闭的并且在方位角方向上呈周期性，因此无法使用现有的缝合方法来生成360°形状图。为了解决这个问题，本文提出了两种圆柱体的干涉干涉方法：一种需要重叠区域，另一种不需要重叠区域。对于前者，我们使用圆柱坐标变换的一阶逼近来建立缝合模型。有了它，相邻子孔径之间的相对参数可以通过缝合模型来计算。对于后者，开发了一组正交多项式，称为勒让德傅里叶（LF）多项式。使用这些多项式，可以将单个子孔径数据扩展为部分圆柱面的固有形式和其他未对准参数的组成。然后，通过用LF多项式同时拟合所有子孔径数据，可以获取360°形状图。最后，在不同条件下比较了两种提出的方​​法。因此，揭示了每种缝合方法的优缺点，为获取精密滚筒的360°形状图提供了建议。

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  • 会议地点 Singapore(SG)
  • 作者

    Junzheng Peng; Dingfu Chen; Yingjie Yu;

  • 作者单位

    Department of Optoelectronic Engineering, Jinan University, Guangzhou, 510632, China;

    epartment of Precision Mechanical Engineering, Shanghai University, Shanghai, 200072, China;

    epartment of Precision Mechanical Engineering, Shanghai University, Shanghai, 200072, China;

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  • 正文语种 eng
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  • 入库时间 2022-08-26 14:02:08

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