Abstract
The plane metrology using a single uncalibrated image is studied in the paper, and three novel approaches are proposed. The first approach, namely key-line-based method, is an improvement over the widely used key-point-based method, which uses line correspondences directly to compute homography between the world plane and its image so as to increase the computational accuracy. The second and third approaches are both based on a pair of vanishing points from two orthogonal sets of parallel lines in the space plane together with two unparallel referential distances, but the two methods deal with the problem in different ways. One is from the algebraic viewpoint which first maps the image points to an affine space via a transformation constructed from the vanishing points, and then computes the metric distance according to the relationship between the affine space and the Euclidean space, while the other is from the geometrical viewpoint based on the invariance of cross ratios. The second and third methods avoid the selection of control points and are widely applicable. In addition, a brief description on how to retrieve other geometrical entities on the space plane, such as distance from a point to a line, angle formed by two lines, etc., is also presented in the paper. Extensive experiments on simulated data as well as on real images show that the first and the second approaches are of better precision and stronger robustness than the key-point-based one and the third one, since these two approaches are fundamentally based on line information.
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The work was supported by the National Natural Science Foundation of China under Grant Nos. 60033010, 69975021 and the National High Technology Development 863 Program of China under Grant No.2002AA 135110.
Guang-Hui Wang received his B.S. and M.S. degrees in 1990 and 2000 from the Airforce University of Engineering and Jilin University of Technology respectively. Now he is a Ph.D. candidate of National Laboratory of Pattern Recognition, the Chinese Academy of Sciences. His research interests include computer vision, single view metrology, 3D reconstruction, autonomous mobile robot localization, intelligent control, etc.
Zhan-Yi Hu received his B.S. degree in automation from the North China University of Technology in 1985, the Ph.D. degree (Docteur d'Etat) in computer vision from the University of Liege, Belgium, in Jan. 1993. Since 1993, he has been with the Institute of Automation, the Chinese Academy of Sciences, where he is now a professor. His research interests are in robot vision, camera calibration, 3D reconstruction, active vision, image-based modeling and rendering.
Fu-Chao Wu received his B.S. degree in mathematics from Anqing Teacher's College in 1982. Since 2001, he has been with the Institute of Automation, the Chinese Academy of Sciences, where he is a professor. His research interests are computer vision, including camera calibration, 3D reconstruction, active vision, etc.
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Wang, GH., Hu, ZY. & Wu, FC. Single view based measurement on space planes. J. Comput. Sci. & Technol. 19, 374–382 (2004). https://doi.org/10.1007/BF02944907
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DOI: https://doi.org/10.1007/BF02944907