应用光学
應用光學
응용광학
JOURNAL OF APPLIED OPTICS
2009年
4期
585-589
,共5页
赵高长%武风波%周彬%杨忠民%乔宝明
趙高長%武風波%週彬%楊忠民%喬寶明
조고장%무풍파%주빈%양충민%교보명
DLT模型%摄像机标定%畸变误差%正交变换
DLT模型%攝像機標定%畸變誤差%正交變換
DLT모형%섭상궤표정%기변오차%정교변환
DLT model%camera calibration%distortion error%orthogonal transform
在忽略摄像机镜头畸变误差的情况下,通过建立像坐标系与物坐标系,利用DLT模型,结合最优化算法的标定方法和两步法,由于在物坐标系中平面物体的任意一点在Z轴上的分量为0,减少变量数至5个,从而推导出一种简化的摄像机标定方法.借助实例,在文中建立的2个命题的基础上,通过对圆的切线、切线交点及所成像的几何关系确定的的坐标进行参数求解,得到确定模型的二维像和三维像.此外,考虑到更为一般的情况,引入畸变误差(径向误差),对模型先忽略误差项,得到初始参数值,然后利用迭代方法求解.
在忽略攝像機鏡頭畸變誤差的情況下,通過建立像坐標繫與物坐標繫,利用DLT模型,結閤最優化算法的標定方法和兩步法,由于在物坐標繫中平麵物體的任意一點在Z軸上的分量為0,減少變量數至5箇,從而推導齣一種簡化的攝像機標定方法.藉助實例,在文中建立的2箇命題的基礎上,通過對圓的切線、切線交點及所成像的幾何關繫確定的的坐標進行參數求解,得到確定模型的二維像和三維像.此外,攷慮到更為一般的情況,引入畸變誤差(徑嚮誤差),對模型先忽略誤差項,得到初始參數值,然後利用迭代方法求解.
재홀략섭상궤경두기변오차적정황하,통과건립상좌표계여물좌표계,이용DLT모형,결합최우화산법적표정방법화량보법,유우재물좌표계중평면물체적임의일점재Z축상적분량위0,감소변량수지5개,종이추도출일충간화적섭상궤표정방법.차조실례,재문중건립적2개명제적기출상,통과대원적절선、절선교점급소성상적궤하관계학정적적좌표진행삼수구해,득도학정모형적이유상화삼유상.차외,고필도경위일반적정황,인입기변오차(경향오차),대모형선홀략오차항,득도초시삼수치,연후이용질대방법구해.
In the case of neglecting the distortion error of the camera lens, the simplified method to calibrate cameras was deduced by establishing the proper coordinate systems, utilizing DLT mode, combining the optimization algorithm calibration method and two-step method, and decreasing the variable number to five. By the aid of a example, the parameters were solved with the tangent line of a circle, the intersection point of tangent and the coordinates defined by the geometrical relationship of the image based on two propositions proposed in the paper. The numerical example shows that the method has less computation and high accuracy.