在世界坐标，射线的起始点。
一个形象的一张纸真正的大作品，这是我们的世界坐标。
Think of an image on a really big piece of paper, this is our world coordinates.
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.
这里所探讨的方法要求你知道物体和目标的位置在世界坐标系中的坐标值。
The method presented in here requires that you know where the object is in world coordinates, as well as the targets position, also in world coordinates.
最后，基于优化的总体最小二乘解确定光学特征点相对世界坐标系的姿态。
Finally, the attitude of optical characteristic points relative to the word coordinate system was obtained based on the optimization solution.
假设物体和目标的世界坐标已知，那么广告牌技术将会是一个简单的几何操作。
Assuming that both the objects and target positions are known in world coordinates, then billboarding becomes a simple geometrical operation.
结合摄像机标定结果和优化算法从二维图像坐标中计算目标物体的世界坐标。
The camera calibration result and optimization algorithm are used to calculate the object's world coordinate from image coordinate.
推导了从图象坐标系到世界坐标系的映射关系，将图象中的点转换到世界坐标系中。
The relationships between the image coordination and the world coordination are derived, so the point in the image can be transformed to the world coordination.
接下来，我们利用以提取的特征点的图像坐标，以及它们已知的世界坐标进行摄像机标定。
Next, we use the feature point's image coordinates, and their known world coordinates to calibrate camera.
可将后者视为摄像机转换或告诉 MSG如何从世界坐标转换为摄像机坐标的指令 —— 两种定义都是正确的。
You can think of the latter as the camera transformation or as the instruction to M3G on how to convert from world coordinates to camera coordinates -- both definitions are correct.
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.
在嵌入阶段，我们指定了四个点来建立世界坐标系，以确保虚拟物体能够成功叠加到真实场景中的正确位置。
In the embedding step, four points are specified to build the world coordinate system so that the virtual objects are superimposed on the real scene images in the proper positions.
通过摄像机和投影仪的透视投影模型，推导了摄像机坐标系、投影仪坐标系和世界坐标系之间的坐标变化关系。
Relations of coordinate transform among camera coordinate system, projector coordinate system and world coordinate system are derived based on perspective projection models for camera and projector.
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.
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.
局部坐标系列世界坐标系的坐标变换可用于简化三维绘图，而世界坐标系到局部坐标系的坐标变换可用于产生透视投影。
The transformation from WCS to LCS can simplify the 3D drafting. The transformation from LCS to WCS can be used to generate the perspective projection.
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.
如果物体通过几何变换而被放置在世界坐标系中，比如通过平移和旋转，那么视图跟踪他在世界坐标系中位置变换的轨迹可能会是一个艰难的工作。
If the object is positioned in the world through geometric transformations, such as translations and rotations, then keeping track of its position in world coordinates can be a hard task.
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.
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.
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