Invariant Signatures from Polygonal Approximations of Smooth Curves

1. A. M. Bruckstein, R. J. Holt, A. N. Netravali, and T. J. Richardson, “Invariant Signatures for Planar Shapes Under Partial Occlusion”, CVGIP: Image Understanding, Vol. 58, pp. 49–65, 1993.

   Article  Google Scholar 

2. A. M. Bruckstein, N. Katzir, M. Lindenbaum, and M. Porat, “Similarity Invariant Signatures and Partially Occluded Planar Shapes”, Int. J. Computer Vision, Vol. 7, pp. 271–285, 1992.

   Article  Google Scholar 

3. A. M. Bruckstein, and A. N. Netravali, “On Differential Invariants of Planar Curves and the Recognition of Partly Occluded Planar Shapes”, AT&T Technical memo, July 1990; also in Proc. of the Int. Workshop on Visual Form, Capri, May 1992.

   Google Scholar 

4. A. M. Bruckstein, E. Rivlin, and I. Weiss, “Scale Space Local Invariants”, CIS Report No. 9503, Computer Science Department, Technion, Haifa, Israel, February 1995

   Google Scholar 

5. A. M. Bruckstein, and D. Shaked, “Skew Symmetry Detection via Signature Functions”, Pattern Recognition, Vol. 31, pp. 181–192, 1998.

   Article  Google Scholar 

6. E. Calabi, P. J. Olver, C. Shakiban, A. Tannenbaum, and S. Haker, “Differential and Numerically Invariant Signature Curves Applied to Object Recognition”, Int. J. Computer Vision, Vol. 26, pp. 107–135, 1998.

   Article  Google Scholar 

7. E. Calabi, P. J. Olver, and A. Tannenbaum, “Affine Geometry, Curve Flows, and Invariant Numerical Approximations”, Adv. in Math, Vol. 124, pp. 154–196, 1996.

   Article  MATH  MathSciNet  Google Scholar 

8. D. Cyganski, J.A. Orr, T.A. Cott, and R.J. Dodson, “An Affine Transform Invariant Curvature Function”, Proceedings of the First ICCV, London, pp. 496–500, 1987.

   Google Scholar 

9. T. Glauser and H. Bunke, “Edge Length Ratios: An Affine Invariant Shape Representation for Recognition with Occlusions”, Proc. of the 11th ICPR, Hague, 1992.

   Google Scholar 

10. P. S. Heckbert, “Color Image Quantization for Frame Buffer Display”, http://www-cgi.cs.cmu.edu/asf/cs.cmu.edu/users/ph/www/ciq_thesis

11. R. J. Holt, and A. N. Netravali, “Using Affine Invariants on Perspective Projections of Plane Curves”, Computer Vision and Image Understanding, Vol. 61, pp. 112–121, 1995.

    Article  Google Scholar 

12. T. Moons, E. J. Pauwels, L. Van Gool, and A. Oosterlinck, “Foundations of Semi Differential Invariants”, Int. J. of Computer Vision, Vol. 14, 25–47, 1995.

    Article  Google Scholar 

13. E. J. Pauwels, T. Moons, L. Van Gool, and A. Oosterlinck, “Recognition of Planar shapes Under Affine Distortion”, Int. J. of Computer Vision, Vol. 14, 49–65, 1995.

    Article  Google Scholar 

14. L. R. Rabiner, and B. H. Juang, “Introduction to Hidden Markov Models”, IEEE ASSP Magazine, pp. 4–16, 1986.

    Google Scholar 

15. L. R. Rabiner, and S. E. Levinson, Isolated and Connected Word Recognition-Theory and Selected Applications”, IEEE COM, Vol. 29, pp. 621–659, 1981.

    Article  Google Scholar 

16. L. R. Rabiner, A. E. Rosenberg, and S. E. Levinson, “Considerations in Dynamic Time warping Algorithms for Discrete Word Recognition”, IEEE ASSP, Vol. 26, pp. 575–582, 1978.

    MATH  Google Scholar 

17. L. Van Gool, T. Moons, D. Ungureanu, and A. Oosterlinck, “The Characterization and Detection of Skewed Symmetry” CVIU, Vol. 61, pp. 138–150, 1995.

    Google Scholar 

18. A. Viterbi, “Error Bounds on Convolution Codes and an Asymptotically Optimal Decoding Algorithm”, IEEE Information Theory, Vol. 13, pp. 260–269, 1967.

    Article  MATH  Google Scholar 

19. I. Weiss, “Noise Resistant Invariants of Curves”, IEEE Trans. on PAMI, Vol. 15, pp. 943–948, 1993.

    Google Scholar 

20. I. Weiss, “Geometric Invariants and Object Recognition”, Int. J. of Computer Vision, Vol. 10, pp. 207–231, 1993.

    Article  Google Scholar 

21. N. Weissberg, S. Sagie, and D. Shaked, “Shape Indexing by Dynamic Programming”, in Proc. of the Israeli IEEE Convention, April 2000.

    Google Scholar 

Download references