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1)  cross ratio invariability
交比不变性
1.
Research on calibration of cameras based on cross ratio invariability;
基于交比不变性的相机镜头畸变标定研究
2.
Firstly,order radial lens distortion parameters are computed by using cross ratio invariability.
该方法利用透视投影的交比不变性原理标定镜头的畸变系数,基于摄像机成像的单应性矩阵及内部参数的基本约束,线性标定出其他摄像机参数。
2)  equality of cross ratio
交比不变性
1.
In the first method,the camera was first calibrated use the equality of cross ratio,then put the measured object and calibration object on the same plane,put the camera perpendicular to the calibration plane as far as possible,finally 3D reconstruction was transformed to 2D reconstruction,then the calculate becomes simple.
讨论并实现了两种单幅图像测量的方法,方法1是先根据交比不变性进行标定,然后将被测物和标定物放于同一平面上,并且摄像机尽量垂直与标定平面,即可将三维重建转变为二维重建,计算简单;方法2是利用了平面单应性矩阵,先获得标定平面的单应矩阵,然后根据垂直关系获得测量平面的单应矩阵,进而获得测量结果,实验装置简单。
2.
Under the case of first-order radial distortion,the equality of cross ratio in the perspective projection was used to calculate the first-order radial distortion ratio in order to calibrate the camera,then the extending rate of the steel bar can be calculated.
研究了利用图像进行钢筋延伸率测量的方法,即在畸变模型为一阶径向畸变的情况下,利用透视投影中的交比不变性质来计算一阶径向畸变参数,进行线性的系统标定,进而实现对钢筋延伸率的测量。
3)  cross ratio invariability
交比不变
1.
By using a planar gridding target calibration points could be achieved,and the precision of these calibration points were improved through revising the distortion coefficients of lens according to the principle of cross ratio invariability.
首先利用平面网格靶标来获取标定点,同时利用交比不变原理不断修正镜头的畸变参数,从而提高了标定点的精度,然后根据这些标定点利用RAC算法对视觉传感器的内外参数进行标定。
2.
A new approach for lens distortion calibration is presented based on the cross ratio invariability of perspective projection.
利用了透视投影中的交比不变的性质,针对由CCD和投影仪组成的测量系统,在CCD已经标定的情况下,仅考虑投影仪畸变模型为一阶径向畸变的情况,只需要投影仪投射共线的投影坐标已知的4个点,利用交比不变性,建立一元二次方程就可以标定投影仪镜头的畸变参数。
3.
According the cross ratio invariability and perspective reversion,the relation among the vanishing points,the spatial beelines and their projections in image is determined,and the width of the eave can be calculated.
该方法使用数码相机倾斜影像和房屋外观的几何约束条件,根据交比不变与透视旋转原理,确立了灭点、物方直线段与影像投影直线段之间的关系,并由此计算房檐宽度。
4)  cross-ratio invariant
交比不变量
1.
Based on a linear pinhole camera imaging model,the cross-ratio invariant has been applied to pattern recognition on computer vision for a long time as the most fundamental projective invariant.
研究成像过程中交比不变量的误差问题。
5)  invariability of ratio of areas
面积比不变性
1.
An algorithm based on the invariability of ratio of areas is improved on the parametrization of the surface,which uses the two-part texture mapping.
文中运用两步映射原理解决了曲面的参数化问题,改进了一种采用面积比不变性约束的球冠映射算法,消除了采用传统的整球面和半球面参数化方法向中间曲面作映射所带来的纹理变形问题,进而较好地实现了由非参数化面片拼接成的曲面表面的纹理映射。
6)  scale preservation
比例尺不变性
补充资料:交比
      见射影几何学。
  

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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