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Oriented Matroids for Shape Representation and Indexing

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Pattern Recognition and Image Analysis (IbPRIA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2652))

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Abstract

In this paper a novel method for indexing views of 3D objects is presented. The topological properties of the regions of the segmented images of the objects are used to define an index based on oriented matroid theory. Oriented matroids, which are projective invariants, encode incidence relations and relative position of the elements of the image and give local and global topological information about their spatial distribution. This indexing technique is applied to 3D object hypothesis generation from single views to reduce the number of candidates in object recognition processes.

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References

  1. Serratosa, F., Alquézar, R., Sanfeliu, A.: Function-described for modeling objects represented by attributed graphs. Pattern Recognition 36, 781–798 (2003)

    Article  Google Scholar 

  2. Björner, A., Vergnas, M.L., Sturmfels, B., White, N., Ziegler, G.M.: Oriented Matroids. Encyclopedia of Mathematics and its Applications, vol. 43. Cambridge University Press, Cambridge (1993)

    MATH  Google Scholar 

  3. Bokowski, J., Sturmfels, B.: Computational Synthetic Geometry. Lecture Notes in Mathematics, vol. 1355. Springer, Heidelberg (1989)

    Book  Google Scholar 

  4. Richter-Gebert, J., Ziegler, G.M.: Oriented matroids. In: Goodman, J.E., O’Rourke, J. (eds.) Handbook of Discrete and Computational Geometry, pp. 111–132. CRC Press, Boca Raton (1997)

    Google Scholar 

  5. Carlsson, S.: Combinatorial geometry for shape representation and indexing. In: Proceedings of the International Workshop on Object Representation for Computer Vision (1996)

    Chapter  Google Scholar 

  6. O’ Rourke, J.: Computational Geometry in C. Cambridge University Press, Cambridge (1999)

    Google Scholar 

  7. Toussaint, G.T.: Solving geometric problems with the rotating calipers. In: Proceedings of IEEE MELECON 1983, Athens, Greece (1983)

    Google Scholar 

  8. Lamdan, Y., Schwartz, J.T., Wolfson, H.J.: Affine invariant model-based object recognition. IEEE Transactions on Robotics and Automation 6 (1990)

    Article  Google Scholar 

  9. Comaniciu, D., Meer, P.: Mean shift: A robust approach toward feature space analysis. IEEE Trans. Pattern Anal. Machine Intell. 24, 603–619 (2002)

    Article  Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Staffetti, E., Grau, A., Serratosa, F., Sanfeliu, A. (2003). Oriented Matroids for Shape Representation and Indexing. In: Perales, F.J., Campilho, A.J.C., de la Blanca, N.P., Sanfeliu, A. (eds) Pattern Recognition and Image Analysis. IbPRIA 2003. Lecture Notes in Computer Science, vol 2652. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44871-6_117

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  • DOI: https://doi.org/10.1007/978-3-540-44871-6_117

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40217-6

  • Online ISBN: 978-3-540-44871-6

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