摄象机参数高精度求解方法

A High Precision Method for Getting The Camera Parameters

提出了一种新的高精度的摄象机参数的求解方法。文章利用透视变换理论建立了摄象机数学模型，模型中考虑了摄象机镜头的径向畸变和切向畸变，首先利用牛顿—高斯非线性搜索方法求解摄象机畸变系数和一个中间矩阵，然后再从中间矩阵中分离出其它模型参数；为解决非线性搜索的初值问题，采用线性化方法或简单迭代法初求得中间矩阵，从而加快了非线性搜索的速度，提高了非线性搜索的精度。理论及实际应用表明，该摄象机参数的求解方法速度快、精度高。

A novel high precision method for getting the parameters of a camera is proposed in the paper.The mathematical model of the camera is set up by use of the perspective transfer theory.The radial and tangential distortions of the camera lens are fully considered.First the distortion coefficient of the camera and an intermediate matrix are derived by use of Newton Gaussian nonlinear searching method.Then the other model parameters can be separated from the intermediate matrix.In order to solve the initial searching value,the intermediate matrix is obtained by use of the linearized method or the simple iterative method.Thus the nonlinear search ing speed can be sped up and the nonlinear searching accuracy can be improved.The quick speed and high precision obtaining method for the camera parameters have been proved in theory and in practice.