caa a22 4500 605448043 CHVBK 20210128100135.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s11042-014-1879-4 doi (NATIONALLICENCE)springer-10.1007/s11042-014-1879-4 A linear approach for determining camera intrinsic parameters using tangent circles [Elektronische Daten] [Xu Chen, Yue Zhao] A linear approach using three tangent circles is proposed for determining the intrinsic parameters of cameras. A projected circle can be used to compute the image coordinate of the centre of each tangent circle and to find the points in the image corresponding to the tangent points associated with the images of the centres of the projected circles. The vanishing point can be determined along the circle diameter according to the invariance of the cross-ratio. Solving the equations for the tangent lines produced a curve in the image of the tangent point and its corresponding point. The other vanishing point can be obtained from the intersection point of the two tangent lines. With vanishing points in two orthogonal directions, the intrinsic parameters can be linearly determined. The results of our experiments show that this approach is effective and highly precise. Springer Science+Business Media New York, 2014 Camera intrinsic parameters nationallicence Circular points nationallicence Vanishing point nationallicence Tangent circle nationallicence Chen Xu Lijiang Tourism and Culture College, Yunnan University, Yunnan, China aut Zhao Yue School of Mathematics and Statistics, Yunnan University, Yunnan, China aut Multimedia Tools and Applications Springer US; http://www.springer-ny.com 74/15(2015-08-01), 5709-5723 1380-7501 74:15<5709 2015 74 11042 https://doi.org/10.1007/s11042-014-1879-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11042-014-1879-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Xu Lijiang Tourism and Culture College, Yunnan University, Yunnan, China aut NATIONALLICENCE 700 1- Zhao Yue School of Mathematics and Statistics, Yunnan University, Yunnan, China aut NATIONALLICENCE 773 0- Multimedia Tools and Applications Springer US; http://www.springer-ny.com 74/15(2015-08-01), 5709-5723 1380-7501 74:15<5709 2015 74 11042