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数码相机系统标定的数学模型
引用本文:蔡吉花,梁成颂. 数码相机系统标定的数学模型[J]. 数学的实践与认识, 2010, 40(14)
作者姓名:蔡吉花  梁成颂
基金项目:黑龙江省新世纪高等教育教学改革工程项目
摘    要:利用RAC两步法和最小二乘法,给出了世界坐标系到相机坐标系的旋转变换矩阵R和平移向量T及径向畸变系数k的算法,通过Matalb编程,提取图像的边缘数字信息,计算了靶标上圆心的像坐标,并讨论了算法的稳定性.

关 键 词:最小二乘法  公切线  RAC两步法  旋转矩阵

Mathematical Model for the System Calibration of Digital Camera
CAI Ji-hua,LIANG Cheng-song. Mathematical Model for the System Calibration of Digital Camera[J]. Mathematics in Practice and Theory, 2010, 40(14)
Authors:CAI Ji-hua  LIANG Cheng-song
Abstract:A RAC two-step and least squares method is used to give the algorithm for calculate the rotation transformation matrix(R) and translation vector(T) and radial distortion coefficient(k) of the world coordinate system to camera coordinate system.The edge digital information of image be extracted by using Matlab functions,based on it,the coordinates of the image of the center of a circle on the target is calculated and the stability of the algorithm is discussed.
Keywords:least-squares method  common tangents  RAC two-step method  spin matrix
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