A combinatorial geometrical approach to two-dimensional robust pattern matching with scaling and rotation

Theoretical Computer Science

Volumn 410, Issue 51, 2009, Pages 5317-5333

  Hundt, Christian ^a   Liśkiewicz, Maciej ^b   Nevries, Ragnar ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b UNIVERSITY OF LÜBECK   (Germany)

Author keywords

Combinatorial pattern matching; Digital image matching; Discrete algorithms; Discrete rotations and scalings

Indexed keywords

COMBINATORIAL PATTERN MATCHING; DIGITAL IMAGE MATCHING; DISCRETE ALGORITHMS; DISCRETE ROTATIONS AND SCALINGS; DISCRETIZATIONS; EXPERIMENTAL SECTION; LOWER AND UPPER BOUNDS; PATTERN MATCHING ALGORITHMS; PRACTICAL USE; ROBUST PATTERNS; TWO-DIMENSIONAL PATTERN MATCHING;

ALGORITHMS; COMBINATORIAL MATHEMATICS; IMAGE PROCESSING; ROTATION; TWO DIMENSIONAL;

IMAGE MATCHING;

EID: 70349948853     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2009.09.009     Document Type: Article

References (29)

1. In: Bovik A. (Ed). Handbook of Image and Video Processing (2000), Academic Press, San Diego, California
2. Amir A., Butman A., Crochemore M., Landau G., and Schaps M. Two-dimensional pattern matching with rotations. Theoret. Comput. Sci. 314 1-2 (2004) 173-187
3. Amir A., Butman A., and Lewenstein M. Real scaled matching. Inform. Process. Lett. 70 4 (1999) 185-190
4. Amir A., Butman A., Lewenstein M., and Porat E. Real two dimensional scaled matching. Algorithmica 53 3 (2009) 314-336
5. A. Amir, G. Calinescu, Alphabet independent and dictionary scaled matching, in: Proc. 7th Annual Symposium on Combinatorial Pattern Matching, CPM 96, 1996, pp. 320-334
6. Amir A., and Chencinski E. Faster two-dimensional scaled matching. Proc. CPM 2006. LNCS vol. 4009 (2006) 200-210
7. Amir A., Kapah O., and Tsur D. Faster two-dimensional pattern matching with rotations. Theoret. Comput. Sci. 368 3 (2006) 196-204
8. Amir A., Landau G.M., and Vishkin U. Efficient pattern matching with scaling. J. Algorithms 13 1 (1992) 2-32
9. Brown L.G. A survey of image registration techniques. ACM Comput. Surv. 24 4 (1992) 325-376
10. Cox I.J., Bloom J.A., and Miller M.L. Digital Watermarking, Principles and Practice (2001), Morgan Kaufmann, San Francisco, California
11. Edelsbrunner H. Algorithms in Combinatorial Geometry (1987), Springer Verlag, Berlin
12. Edelsbrunner H., O'Rourke J., and Seidel R. Constructing arrangements of lines and hyperplanes with applications. SIAM J. Comput. 15 (1986) 341-363
13. Hardy G.H., and Wright E.M. An Introduction to the Theory of Numbers (1954), Oxford University Press
14. de Berg M., van Kreveld M., Overmars M., and Schwarzkopf O. Computational Geometry, Algorithms and Applications (2000), Springer Verlag, Berlin
15. Fredriksson K., Mäkinen V., and Navarro G. Rotation and lighting invariant template matching. Inf. Comput. 205 7 (2007) 1096-1113
16. Fredriksson K., Navarro G., and Ukkonen E. Sequential and indexed two-dimensional combinatorial template matching allowing rotations. Theor. Comput. Sci. 347 1-2 (2005) 239-275
17. Fredriksson K., and Ukkonen E. A rotation invariant filter for two-dimensional string matching. Proc. CPM '98. LNCS vol. 1448 (1998) 118-125
18. M. Hagedoorn, Pattern matching using similarity measures, Ph.D thesis, Univ. Utrecht, 2000, ISBN 90-393-2460-3. The Ph.D thesis "Pattern matching using similarity measures" of Michiel Hagedoorn (Univ. Utrecht, 2000, ISBN 90-393-2460-3)
19. Hundt C., and Liśkiewicz M. Proc. STACS '07. LNCS vol. 4393 (2007) 284-295
20. P. Indyk, Algorithmic applications of low-distortion geometric embeddings, in Proc. FOCS'01, 2001, pp. 10-33
21. P. Indyk, R. Motwani, S. Venkatasubramanian, Geometric matching under noise: Combinatorial bounds and algorithms, in Proc. SODA'99, 1999, pp. 354-360
22. Kasturi R., and Jain R.C. Computer Vision: Principles (1991), IEEE Computer Society Press, Los Alamitos
23. C. Kenyon, Y. Rabani, A. Sinclair, Low distortion maps between point sets, in: Proc. STOC'04, 2004, pp. 272-280
24. In: Kropatsch W.G., and Bischof H. (Eds). Digital Image Analysis - Selected Techniques and Applications (2001), Springer-Verlag, Berlin
25. Landau G.M., and Vishkin U. Pattern matching in a digitized image. Algorithmica 12 3/4 (1994) 375-408
26. Maintz J.B.A., and Viergever M.A. A survey of medical image registration. Medical Image Anal. 2 1 (1998) 1-36
27. R. Nevries, Entwicklung und Analyse eines beschleunigten Image Matching-Algorithmus für natürliche Bilder, Diplomarbeit, Universität Rostock, 2008
28. C. Papadimitriou, S. Safra, The complexity of low-distortion embeddings between point sets, in: Proc. SODA'05, 2005, pp. 112-118
29. Shi Y.Q., and Sun H. Image and Video Compression for Multimedia Engineering (2000), CRC Press