Most approaches to camera motion estimation from image sequences require matching the projections of at least 4 non-coplanar points in the scene. The case of points lying on a plane has only recently been addressed, using mainly projective cameras. We here study what can be recovered from two uncalibrated views of a planar contour under affine viewing conditions. We prove that the affine epipolar direction can be recovered provided camera motion is free of cyclorotation. The proposed method consists of two steps: 1) computing the affinity between two views by tracking a planar contour, and 2) recovering the epipolar direction by solving a second-order equation on the affinity parameters. Two sets of experiments were performed to evaluate the accuracy of the method. First, synthetic image streams were used to assess the sensitivity of the method to controlled changes in viewing conditions and to image noise. Then, the method was tested under more realistic conditions by using a robot arm to obtain calibrated image streams, which permit comparing our results to ground truth.
- Active Contour
- Camera Motion
- Synthetic Image
- Camera Model
- Epipolar Line
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This work is partially funded by the EU PACO-PLUS project FP6-2004-IST-4-27657.
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Beardsley, P.A., Zisserman, A., Murray, D.W.: Sequential updating of projective and affine structure from motion. Intl. J. of Computer Vision 23, 235–259 (1997)
McLauchlan, P.F., Murray, D.W.: A unifying framework for structure and motion recovery from image sequences. In: Proc. Intl. Conf. on Computer Vision, pp. 314–320 (1995)
Koenderink, J., van Doorn, A.J.: Affine structure from motion. J. Opt. Soc. Am. A 8, 377–385 (1991)
Shapiro, L., Zisserman, A., Brady, M.: 3d motion recovery via affine epipolar geometry. Intl. J. of Computer Vision 16, 147–182 (1995)
Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2004)
Sturm, P., Maybank, S.J.: On plane-based camera calibration: a general algorithm, singularities, applications. In: Proc. IEEE Conf. on Computer Vision and Pattern Recognition, vol. 1, pp. 432–437 (1999)
Demirdjian, D., Zisserman, A., Horaud, R.: Stereo autocalibration from one plane. In: Proc. 6th European Conf. on Computer Vision, pp. 625–639 (2000)
Malis, E., Cipolla, R.: Camera self-calibration from unknown planar structures enforcing the multiview constraints between collineations. IEEE Trans. on Pattern Analysis and Machine Intelligence 24, 1268–1272 (2002)
Bartoli, A., Sturm, P., Horaud, R.: Structure and motion from two uncalibrated views using points on planes. In: Proc. 3rd. Intl. Conf. on 3D Digital Imaging and Modeling, Canada, pp. 83–90 (2001)
Kaminski, J.Y., Shashua, A.: On calibration and reconstruction from planar curves. In: Proc. European Conf. on Computer Vision, pp. 678–694 (2000)
Alberich-Carramiñana, M., Alenyá, G., Andrade-Cetto, J., Martínez, E., Torras, C.: Affine epipolar direction from two views of a planar contour. Technical Report IRI-DT-2005/03, Institute of Robotics (IRI) (2005)
Blake, A., Isard, M.: Active Contours. Springer, Heidelberg (1998)
Foley, J., van Dam, A., Feiner, S., Hughes, F.: Computer Graphics. Principles and Practice. Addison-Wesley Publishing Company, Reading (1996)
Alenyà, G., Martínez, E., Torras, C.: Fusing visual and inertial sensing to recover robot egomotion. Journal of Robotics Systems 21, 23–32 (2004)
Martínez, E., Torras, C.: Qualitative vision for the guidance of legged robots in unstructured environments. Pattern Recognition 34, 1585–1599 (2001)
Martínez, E., Torras, C.: Contour-based 3d motion recovery while zooming. Robotics and Autonomous Systems 44, 219–227 (2003)
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Alberich-Carramiñana, M., Alenyà, G., Andrade-Cetto, J., Martínez, E., Torras, C. (2006). Affine Epipolar Direction from Two Views of a Planar Contour. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2006. Lecture Notes in Computer Science, vol 4179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11864349_86
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