光学学报, 2013, 33 (11): 1115004, 网络出版: 2013-10-20
二维目标视觉测量的双平行平面标定 下载: 524次
Two Parallel Planes Calibration for Two-Dimensional Object Vision Measurement
测量 计算机视觉 相机标定 双平面相机模型 畸变校正 最小二乘估计 measurement computer vision camera calibration two calibration planes camera model distortion correction least square estimation
摘要
针对平面目标的单目视觉测量问题,研究了基于双平面模型的相机标定的方法,该方法以多项式形式表达标定板平面坐标和图像坐标的对应关系,多项式系数隐式包含了相机参数和畸变系数,并通过最小二乘法进行估计。研究了利用多项式表达两平面对应关系时可能造成的暗区问题,提出利用图像坐标平移解决该问题的方法。考虑到标定板的厚度,将标定板分别放置在两个与被测平面平行、高度不同的位置,并标定出两个标定板平面与像平面间的关系,在已知被测平面与两个标定平面间距离的条件下,利用透视投影原理计算被测目标的实际尺寸。实验结果验证了该方法的有效性。
Abstract
A camera calibration method based on two calibration planes model is studied for the monocular vision measurement of planar object. It uses polynomials to describe the correspondence between the measurement plane coordinates and the image coordinates. The polynomial coefficients, which can be estimated by least square method, implicitly include the camera parameters and distortion parameters. A dark area problem caused by polynomial expression of the correspondence between the two planes is studied. An image coordinates translation method is proposed to solve the problem. Considering the calibration board′s thickness, the board is put on two locations which are parallel to the measurement plane with different heights, and the relationship between the two calibration planes and the image plane is calibrated respectively. Given the perpendicular distances among the measurement plane and the two calibration planes, the real object size can be computed from perspective projection principle. The experimental results verify the effectiveness of the method.
刘昶. 二维目标视觉测量的双平行平面标定[J]. 光学学报, 2013, 33(11): 1115004. Liu Chang. Two Parallel Planes Calibration for Two-Dimensional Object Vision Measurement[J]. Acta Optica Sinica, 2013, 33(11): 1115004.