插值-Zernike矩协同的光学狭缝针孔亚像素测量方法
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1.贵州大学大数据与信息工程学院 贵阳 550025;2.贵州民族大学物理与机电工程学院 贵阳 550025

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TN29

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国家自然科学基金项目(62272123)资助


Interpolation-Zernike moments collaborative optical slit-pinhole sub-pixel measurement method
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1.School of Big Data and Information Engineering,Guizhou University,Guiyang 550025, China; 2.School of Physics and Mechatronic Engineering,Guizhou Minzu University,Guiyang 550025, China

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    摘要:

    针对精密光学狭缝与针孔镜片检测中人工效率低、接触式测量易损伤表面的问题,本文提出一种插值-Zernike协同亚像素检测方法。通过双三次插值增强边缘分辨率,重构正交基模板降低离散采样误差,并引入非对称高斯模型修正亚像素偏移,结合动态阈值与小连通域去噪提升抗干扰性。仿真与实验结果表明:改进算法对狭缝宽度的最大检测误差为0.098 7 pixel(1.401 5 μm),针孔直径误差≤0.113 6 pixel(1.613 1 μm),较传统Zernike矩方法精度提升62.3%;在像素对齐条件下实现了0.000 2 pixel(2.84 nm)的纳米级分辨率,突破了传统微米级限制。算法精度与相机分辨率呈线性正相关,且在本文实验条件下满足工业3 μm以内的检测标准,并具备纳米级拓展潜力,为光学元件高效无损检测提供了创新方案。

    Abstract:

    To address the challenges of low manual efficiency and surface damage risks in contact-based measurement for precision optical slits and pinhole lenses, this paper proposes an interpolation-Zernike collaborative subpixel detection method. By enhancing edge resolution through bicubic interpolation, reducing discrete sampling errors via reconstructed orthogonal basis templates, and correcting subpixel offsets with an asymmetric Gaussian model, the method improves antiinterference capabilities through dynamic thresholding and small connected-domain denoising. Simulation and experimental results demonstrate that the improved algorithm achieves a maximum detection error of 0.098 7 pixel (1.401 5 μm) for slit width and stabilizes pinhole diameter errors within 0.12 pixel (1.704 μm), representing a 62.3% accuracy improvement over traditional Zernike moment methods. Under pixel-aligned conditions, the method achieves nanoscale resolution of 0.000 2 pixel (2.84 nm), surpassing conventional micron-level limitations. The algorithm exhibits a linear positive correlation between accuracy and camera resolution, meets industrial detection standards within 3 μm under the experimental conditions, and demonstrates potential for nanometer-scale applications. This work provides an innovative solution for high-efficiency, non-destructive inspection of optical components.

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易勇,王代强,易忠.插值-Zernike矩协同的光学狭缝针孔亚像素测量方法[J].电子测量技术,2026,49(4):180-189

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  • 在线发布日期: 2026-04-16
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