异面直线公垂线段中点算法为基的三维点重建

3D points reconstruction based on the midpoint of skew lines common perpendicular algorithm

对基于二维图片的三维点重建关键技术进行研究。利用基于3D标定块的Tsai两步法对相机进行精确标定,在此基础上对三维重建算法中的基于异面直线公垂线段中点算法进行详细深入的研究。从几何学的角度出发,推导出基于异面直线公垂线段中点算法的计算公式,并将此方法与最小二乘法进行了误差比较。实例表明,异面直线公垂线段中点法比最小二乘法具有更高的重建精度。

The key technologies of 3D points reconstruction based on 2D pictures were studied. It has carried on a precise camera calibration based on 3D calibration block and Tsai＇s two-step method, and based on this the midpoint of skew lines common perpendicular algorithm used in 3D reconstruction was studied particularly and thoroughly. From the point of geometry, the formula of the midpoint of skew lines common perpendicular algorithm was derived. And this method has been carried out with the least square method for a error comparison. Examples showed that the midpoint of skew lines common perpendicular algorithm with higher precision reconstruction than the least square method.