然后采用重心公式计算出坐标平移旋转的4个参数，建立了坐标平移旋转的数学模型。
And then using mass center formula to calculate four parameters of translation axes and rotation coordinate, mathematic model is established.
对分子构建的运动模型达到了旋转、平移、放缩等交互操作对分子坐标转换的要求。
The motion modeling of molecule meets the needs of interactive operation for the molecular coordinate transformation, such as rotation, transformation and scale.
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.
运动通过平移，旋转，以及每一个移动对象的局部坐标系统的非一致缩放来实现。
Motion is specified by translations, rotations, and nonuniform scalings of the local coordinate system of each moving object.
该方法仅需4对消隐点象面坐标便可线性求解出旋转矩阵，再用2个空间点坐标便可线性求解出平移矢量。
The rotation matrix can be linearly acquired by using only 4 vanishing points and the translation vector can be linearly solved by using only 2 spatial point objects.
通过对坐标系的平移和旋转变换，实现传感器的纠偏，给出了纠偏公式。
At the mean time sensors' correction had realized by coordinates' movement and rotation, and a correcting formula was given as well.
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.
利用坐标平移、旋转变换，导出旋转曲面面积求法的一般公式。
By making use of transformation of coordinate translation, coordinate rotation, we deduced general formula about area of rotational surface.
该方法在比赛区域建立二维平面坐标系，将整个航程划分若干区段，通过坐标轴旋转和平移得到各区段的虚拟坐标系。
A two-dimensional model for sailing was used to divide the voyage into several sections and obtain a corresponding coordinate system by a circumvolving and shifting operation.
利用坐标轴的旋转和平移，导出了组合机床主轴箱多种传动形式下传动轴坐标计算的统一公式。
The unified formula results from the revolution and translational movement of the coordinate axis. Apart from the unified calculating formula, the idea for calculation is clear and distinct.
利用坐标轴的旋转和平移，导出了组合机床主轴箱多种传动形式下传动轴坐标计算的统一公式。
The unified formula results from the revolution and translational movement of the coordinate axis. Apart from the unified calculating formula, the idea for calculation is clear and distinct.
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