Abstract
The structure-from-motion algorithm from two views fails if the object is a planar surface or the camera motion is a pure rotation. This paper presents a new scheme for automatically detecting these anomalies without using any knowledge about the noise in the images. This judgment does not involve any empirically adjustable thresholds, either. The basic principle of our scheme is to choose a model that has “higher predicting capability” measured by the geometric information criterion (geometric AIC).
This work was in part supported by the Ministry of Education, Science, Sports and Culture, Japan under a Grant in Aid for Scientific Research B (No. 07458067) and the Okawa Institute of Information and Telecommunication.
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Akaike, H.: A new look at the statistical model identification. IEEE Trans. Automation Control 19-6 (1974) 776–723
Faugeras, O.: Three-Dimensional Computer Vision: A Geometric Viewpoint. MIT Press, Cambridge, MA, 1993
Faugeras, O. D. and S. Maybank, S.: Motion from point matches: Multiplicity of solutions. Int. J. Comput. Vision 4-3 (1990) 225–246
Kanatani, K.: Geometric Computation for Machine Vision. Oxford University Press, Oxford, 1993
Kanatani, K.: Renormalization for motion analysis: Statistically optimal algorithm. IEICE Trans. Inf. & Sys. E77-D-11 (1994) 1233–1239
Kanatani, K.: Statistical Optimization for Geometric Computation: Theory and Practice. Elsevier Science, Amsterdam, 1996
Kanatani, K. and Takeda, S.: 3-D motion analysis of a planar surface by renormalization. IEICE Trans. Inf. & Syst. E78-D-8 (1995) 1074–1079
Longuet-Higgins, L. C.: The reconstruction of a plane surface from two perspective projections. Proc. Roy. Soc. Lond. B227 (1986) 399–410
Maybank, S.: Theory of Reconstruction from Image Motion. Springer, Berlin, 1993
Weng, J., Ahuja, N. and Huang, T. S.: Motion and structure from point correspondences with error estimation: Planar surfaces. IEEE Trans. Sig. Proc. 39-12 (1991) 2691–2717
Weng, J., Ahuja, N. and Huang, T. S.: Optimal motion and structure estimation. IEEE Trans. Patt. Anal. Mach. Intell. 15-9 (1993) 864–884
Weng, J., Huang, T. S. and Ahuja, N.: Motion and Structure from Image Sequences. Springer, Berlin, 1993
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kanatani, K. (1996). Automatic singularity test for motion analysis by an information criterion. In: Buxton, B., Cipolla, R. (eds) Computer Vision — ECCV '96. ECCV 1996. Lecture Notes in Computer Science, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015579
Download citation
DOI: https://doi.org/10.1007/BFb0015579
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61122-6
Online ISBN: 978-3-540-49949-7
eBook Packages: Springer Book Archive