Abstract
A simple construction is given for measuring angles in a plane from a perspective image. The method requires the identification of the horizon line of the plane in the image, as well as a point called the conformal point. The angle between two lines is measured by extending the two image lines until they meet the horizon, then connecting back to the conformal point. The angle between the resulting lines is the angle between the original lines in the plane.
The position of the conformal point is computed by calibrating the camera. Alternatively, knowledge of angles in the plane allows the conformal point to be located without explicit calibration. In pure planar motion, where the horizon and the conformal point of the ground plane are preserved, applications such as motion estimation can be applied for robot navigation and measurement of road angles.
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References
Armstrong M, Zisserman A, Hartley R (1996) Self-calibration from image triplets. In Proc. 4th European Conference on Computer Vision, vol LNCS 1064/5, pp 3–16, Cambridge. Springer-Verlag.
Faugeras OD, Quan L, Sturm P (1998) Self-calibration of 1D projective camera and its application to the self-calibration of a 2D projective camera. In Proc. 5th European Conference on Computer Vision, pp 36–52, Freiburg, Germany.
Fischler MA, Bolles RC (1981) Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography. Comm. Assoc. COmp. Mach., 24(6):381–395.
Hartley RI, Zisserman A (2000) Multiple view geometry in computer vision. Cambridge University Press.
Montiel JMM, Zisserman A (2001) Automated architectural acquisition from a camera undergoing planar motion. In Int. Symp. on Virtual and Augmented Architecture (VAA01).
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© 2003 Springer-Verlag Berlin Heidelberg
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Hartley, R., Silpa-Anan, C. (2003). Visual navigation in a plane using the conformal point. In: Jarvis, R.A., Zelinsky, A. (eds) Robotics Research. Springer Tracts in Advanced Robotics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36460-9_26
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DOI: https://doi.org/10.1007/3-540-36460-9_26
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