基于曲面插值的光学系统点扩散函数重构
DOI:
CSTR:
作者:
作者单位:

中国科学院上海技术物理研究所上海200080

作者简介:

通讯作者:

中图分类号:

TH743TP73

基金项目:


Point spread function reconstruction for optical system based on surface interpolation
Author:
Affiliation:

Shanghai Institute of Technical Physics Chinese Academy of Sciences, Shanghai 200080, China

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    光学系统点扩散函数的数据采样和拟合重构过程中,引入的背景噪声及外部干扰会导致仪器测量结果的误差。传统的固定目标函数点扩散函数拟合算法自适应性较弱,在光学仪器的测试过程中,无法有效还原光斑形态,这些误差项对仪器的图像质量分析结果造成了一定的影响。针对此问题,提出了一种适用于光学成像系统的点扩散函数计算方法,针对不同光斑形态进行能量获取和重构,有效地保留了光斑的原始形态。利用光斑图像数据进行三次样条插值计算,构造亚像元级数据矩阵,对不同位置光斑进行杂散光抑制处理和质心修正,获得更接近真实光斑形态的三维曲面。考虑传感器精度差异,调节步长控制能量集中度对应的光斑半径,能够满足不同的测试需求。高斯光斑仿真分析与实验室测试结果表明,与高斯拟合法、最近邻插值法和盲去卷积法相比,所提方法更接近实际情况,曲面插值法误差仅为ε=0.000 2,像质观测区域内偏离率<5%,能够提供较为准确的能量集中度结果。算法对点扩散函数形态变化较为敏感,能够有效分辨小尺寸光斑内存在的多峰,常温测试条件下也具有较高的精度,在仪器干扰源定位、光学调焦等方面具有工程应用价值,为光学成像系统的研制和性能分析提供了理论计算方法。

    Abstract:

    In the process of data sampling and fitting reconstruction of optical system point spread function, the background noise and external interference will cause the error measurement results of instrument. The traditional fixed objective function point spread function fitting algorithm exhibits poor adaptability, making it difficult to accurately restore the morphology of light spots during optical instrument testing. These error terms will affect the analysis results of image quality to some extent. To solve this problem, a calculation method of point spread function for optical imaging system is proposed. The energy acquisition and reconstruction are carried out according to different spot morphology, and the original shape of spot is preserved effectively. Through the cubic spline interpolation of spot image data, the subpixel matrix is constructed. By performing scattered light suppression and centroid correction on different positions of light spots, we can obtain a three-dimensional surface closer to the real spot shape. Considering sensor accuracy variations, the method adjusts step size to control the spot radius corresponding to encircled energy, accommodating different testing requirements. Gaussian spot simulation analysis and laboratory test results show that, compared with Gaussian fitting method, nearest neighbor interpolation method and blind deconvolution method, the method proposed in this paper is closer to the actual situation. The error of algorithm based on surface interpolation is only, ε=0.000 2, the deviation rate within the observation area of image quality is less than 5%. This method can provide more accurate capability concentration results. The algorithm is sensitive to the morphological changes of the point spread function and can effectively distinguish the presence of multiple peaks in small size spot. It also has high accuracy under normal temperature test conditions. The algorithm has engineering applications in the field of interference source location and optical focusing, and provides a theoretical foundation for the development and performance analysis of optical imaging systems.

    参考文献
    相似文献
    引证文献
引用本文

程雪,刘晓华,傅雨田,陈永和.基于曲面插值的光学系统点扩散函数重构[J].仪器仪表学报,2025,46(2):279-291

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期: 2025-04-28
  • 出版日期:
文章二维码