引用本文: 王美珍, 刘学军, 甄艳, 卢玥. 基于交比的单幅图像平面几何信息提取算法[J]. 武汉大学学报 ( 信息科学版), 2011, 36(2): 190-194.
WANG Meizhen, LIU Xuejun, ZHEN Yan, LU Yue. Distance Measurement for a Single Image Based on Cross Ratio[J]. Geomatics and Information Science of Wuhan University, 2011, 36(2): 190-194.
 Citation: WANG Meizhen, LIU Xuejun, ZHEN Yan, LU Yue. Distance Measurement for a Single Image Based on Cross Ratio[J]. Geomatics and Information Science of Wuhan University, 2011, 36(2): 190-194.

## Distance Measurement for a Single Image Based on Cross Ratio

• 摘要: 提出并实现了基于交比这一射影变换不变量的单幅图像平面几何信息提取方法。该方法首先利用结构化场景中的平行、垂直等几何关系计算平面的灭点灭线;然后利用平面上已知长度的参考线段及灭点、灭线信息构建交比;最后依据待求线段与已知几何信息的位置关系计算待求线段的长度。对实验数据计算结果的精度分析验证了算法的正确性和可行性。

Abstract: An approach based on cross ratio to distance measurement for a single uncalibrated image is presented.Without any prior knowledge of the camera internal parameters(such as focal length and aspect ratio) or its pose(position and orientation),we put foreword and employ nested cross ratio to compute the length of a line segment on plane surface,while only the length(s) of the certain segment(s) is/are known.Based on previous steps one conclusion can be acquired: Once the lengths of rectangle two sides on one plane surface are known and the corresponding vanishing line of the plane is identified,then the length of any line segment on the plane surface can be measured.The extension of our conclusion is also discussed.

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