本文通过对直轴旋转叶片型面成形规律的分析，运用三维几何变换理论，推导出了直轴旋转叶片型面的数学模型。
In this paper, a mathematic model of the straight axis rotate blade is introduced by analysing the forming principle of the blade profile and applying the theory of 3d geometry transformation.
采用像素点变换法，实现了根据三维物体的二维投影图像恢复物体表面的真实几何面积的设想，大大降低了缺陷面积计算的误差；
To decrease the relative errors, the pixel transform method was adopted to recover the geometrical feature of sphere fruit surface from projected image while the area of defect was calculated.
然后根据冠脉造影系统的透视投影模型得到两幅不同角度的造影图像之间的几何变换关系，以及空间点三维坐标的计算方法。
Then geometrical transformation matrix between views is obtained based on perspective projection model for X-ray angiography system, and 3D coordinate of spatial points are calculated.
由于双平面X射线造影系统只能提供两幅有限的投影数据，冠状动脉树的三维重建在匹配、优化几何变换矩阵等方面存在困难。
The purpose of this study is to provide a 3D reconstruction of the skeleton of the coronary artery tree from two X-ray angiograms acquired on a biplane angiographic system.
由于双平面X射线造影系统只能提供两幅有限的投影数据，冠状动脉树的三维重建在匹配、优化几何变换矩阵等方面存在困难。
The purpose of this study is to provide a 3D reconstruction of the skeleton of the coronary artery tree from two X-ray angiograms acquired on a biplane angiographic system.
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