该标定方案直接优化摄像机相对于世界坐标系的旋转角度，因此能够在获得精确解的同时，保证旋转矩阵的正交约束条件。
Because the calibration method directly optimizes the camera rotation angles relative to the world coordinate system, it ensures the orthonormal constraints as well as the precise solutions.
这种情况下不需要标定摄像机在世界坐标系的位置，相对的对于世界坐标系的旋转矩阵和平移矩阵也不需要。
In this instance, the location of camera in the world coordinates is unnecessary to calibrated, and the rotary matrix and horizontal movable matrix is needless too.
用矩阵变换来实现从世界坐标系的运动到机器人关节坐标系运动的映照。
A transformation was used to map the motion in world frame to robot joint frame.
针对各VRML造型在其局部坐标系中创建，采用变换矩阵实现了造型从局部坐标系下到世界坐标系下的坐标变换。
Because each model in VRML is created in local coordinate system, inconvenient to handle them uniformly, this paper infers a universal formula to transform model coordinates from UCS to WCS.
利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；利用矩阵求逆的方法，推导出世界坐标系到物坐标系的坐标变换矩阵。
The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra.
该方法通过保持机器人连杆三到机器人基坐标系的旋转矩阵恒定来直接获得世界坐标，简化复杂的手眼标定和相机标定。
The method is keeping the rotation array between robot's connecting-rod 3 and robot reference coordinate constant, which can simplify the complicated hand-eye calibration and camera calibration.
该方法通过保持机器人连杆三到机器人基坐标系的旋转矩阵恒定来直接获得世界坐标，简化复杂的手眼标定和相机标定。
The method is keeping the rotation array between robot's connecting-rod 3 and robot reference coordinate constant, which can simplify the complicated hand-eye calibration and camera calibration.
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