An evaluation of the novel "normalized-redundancy" representation for planar curves

International Journal of Pattern Recognition and Artificial Intelligence

Volumn 10, Issue 7, 1996, Pages 769-789

  Fdez Valdivia, J ^a   Garcia, J A ^a   Garcia Silvente, M ^a,b  

^a UNIVERSITY OF GRANADA   (Spain)

^b University of Granada ^*

Author keywords

Curvature graph; Gaussian noise; Model based recognition; Normalized redundancy representation and criteria; Shape's structure; Significant scale

Indexed keywords

EID: 0039281425     PISSN: 02180014     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218001496000451     Document Type: Review

References (21)

1. J. Babaud, A. P. Witkin, M. Baudin, and R. O. Duda, "Uniqueness of the Gaussian kernel for scale-space filtering", IEEE Trans. Pattern Anal. Machine Intell. 8 (1986) 26-32.
2. D. H. Ballard and C. M. Brown, Computer Vision, Prentice-Hall, 1982.
3. S. R. Dubois and F. H. Glanz, "An autoregressive model approach to two-dimensional shape classification", IEEE Trans. on Pattern Analysis and Machine Intelligence 8 (1986) 55-65.
4. R. O. Duda and P. E. Hart, Pattern Recognition and Scene Analysis, Wiley, New York, 1973.
5. J. Fdez-Valdivia, J. A. García, and M. Garcia-Silvente, "Simplifying cartographic boundaries by using a normalized measure of ambiguity", Computers of Geosciences 22 (1996) 607-623.
6. J. A. García and J. Fdez-Valdivia, "Boundary simplification in cartography preserving the characteristics of the shape features", Computers & Geosciences 20 (1994) 349-368.
7. J. A. García and J. Fdez-Valdivia, "Representing planar curves by using a scale vector", Pattern Recognition Lett. 15 (1994) 937-942.
8. J. A. García, J. Fdez-Valdivia, and N. Pérez de la Blanca, "An autoregressive curvature model describing cartographic boundaries", Computers & Geosciences 21 (1995) 397-408.
9. J. A. García, J. Fdez-Valdivia, and R. Molina, "A method for invariant pattern recognition by using the scale-vector representation of planar curves", Signal Processing 43 (1995) 39-53.
10. R. H. Glendinning, "Signal plus noise models in shape classification", Pattern Recognition 27 (1994) 777-784.
11. R. L. Kashyap and R. Chellappa, "Stochastics models for closed boundary analysis: Representation and reconstruction", IEEE Trans. Inf. Theory 27 (1981) 627-637.
12. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, 2nd edn., McGraw-Hill, 1968.
13. T. Lindeberg, "Effective scale: A natural unit for measuring scale-space lifetime", IEEE Trans. Pattern Anal. Machine Intell. 15 (1993) 1068-1074.
14. D. G. Lowe, "Organization of smooth image curves at multiple scales'", Proc. 2nd ICCV, 1988, pp. 558-567.
15. S. Mallat, "A theory for multiresolution signal decomposition, the wavelet representation", IEEE Trans. Pattern Anal. Machine Intell. 11 (1989) 674-693.
16. F. Mokhtarian and A. Mackworth, "Scaled-based description and recognition of planar curves and two-dimensional shapes", IEEE Trans. Pattern Analysis and Machine Intelligence 8 (1986) 34-43.
17. F. Mokhtarian and A. Mackworth, "A theory of multiscale, curvature-based shape representation for planar curves", IEEE Trans. Pattern Analysis and Machine Intelligence 14 (1992) 789-805.
18. N. Ramakant, "Description and recognition of curved object", Artificial Intelligence 8 (1977) 77-98.
19. P. L. Rosin, "Representing curves at their natural scales", Pattern Recognition 25 (1992) 1315-1325.
20. P. L. Rosin and S. Venkatesh, "Extracting natural scales using Fourier descriptors", Pattern Recognition 26 (1993) 1383-1393.
21. J. Serra, Image Analysis and Mathematical Morphology, Academic Press, London, 1982.