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Calibration of radial lens distortion using a Gaussian model

机译：使用高斯模型校正子午透镜变形

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摘要

We present a lens distortion model based on the Gaussian function. The model is a potential source function of the popular Brown distortion model and requires the practical estimation of one Boolean and one real parameter. We also present a general technique for lens distortion identification, which consists of three steps: image data acquisition, localization and indexation/matching of image features, and the estimation of distortion parameters. The method uses a structured light technique, in which bar patterns are indexed by a Gray code. Acquired images are automatically processed using a multistep approach that localizes and indexes calibration points. An iterative analysis of differences between localizations of distorted points and their undistorted counterparts is proposed to estimate distortion model parameters. To compute undistorted localizations, the method estimates a homography matrix that is based on both undistorted data and iterative processing of distorted coordinates, which improves compensation accuracy. Experiments with three cameras show that the indexing strategy significantly decreases compensation error (from 0.26 to 0.09 pixels). The newly introduced Gaussian model is shown to be slightly more accurate and considerably more stable than the popular Brown model.
机译：我们提出基于高斯函数的镜头畸变模型。该模型是流行的布朗失真模型的潜在源函数，需要实际估算一个布尔值和一个实参。我们还介绍了一种用于镜头畸变识别的通用技术，该技术包括三个步骤：图像数据获取，图像特征的定位和索引/匹配以及畸变参数的估计。该方法使用结构光技术，其中条形图由格雷码索引。使用定位和索引校准点的多步方法自动处理采集的图像。提出了一种对畸变点及其未畸变对应点之间的差异进行迭代分析的方法，以估计畸变模型参数。为了计算未失真的定位，该方法基于未失真的数据和失真坐标的迭代处理来估计单应矩阵，从而提高了补偿精度。使用三台相机进行的实验表明，索引策略可显着减少补偿误差（从0.26像素减少到0.09像素）。事实证明，新引入的高斯模型比流行的布朗模型稍微更准确，更稳定。

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  • 来源
    《Optical engineering》 |2017年第10期|103103.1-103103.10|共10页
  • 作者

    Nowakowski Artur; Skarbek Władysław;

  • 作者单位

    Warsaw University of Technology, Faculty of Mathematics and Information Science, Warsaw, Poland;

    Warsaw University of Technology, Faculty of Electronics and Information Technology, Warsaw, Poland;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    cameras; distortion; lenses;

    机译：相机失真;镜片;

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