Approximate input sensitive algorithms for point pattern matching

Pattern Recognition

Volumn 43, Issue 1, 2010, Pages 153-159

  Aiger, Dror ^a,b   Kedem, Klara ^a,c  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b ORBOTECH LTD   (Israel)

^c Cornell University ^*  (United States)

Author keywords

Approximation; Geometric pattern matching; Hausdorff distance; Randomization

Indexed keywords

APPROXIMATE MATCHING; APPROXIMATION; CARDINALITIES; DISTANCE FUNCTIONS; GENERAL METHOD; GEOMETRIC PATTERN MATCHING; HAUSDORFF DISTANCE; HAUSDORFF METRIC; POINT PATTERN MATCHING; POINT SET; RANDOMIZATION; RUNTIMES; SENSITIVE ALGORITHMS; SIMILARITY TRANSFORMATION;

ALGORITHMS; OBJECT RECOGNITION; PATTERN MATCHING;

SET THEORY;

EID: 68949097529     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2009.05.014     Document Type: Article

References (22)

1. Agarwal P., Aronov B., Sharir M., and Suri S. Selecting distances in the plane. Algorithmica 9 5 (1993) 495-514
2. P. Agarwal, J. Erickson, Geometric range searching and its relatives, in: B. Chazelle, J.E. Goodman, R. Pollack (Eds.), Advances in Discrete and Computational Geometry, Contemporary Mathematics, vol. 23, 1996, pp. 1-56.
3. D. Aiger, K. Kedem, Exact and approximate geometric pattern matching for point sets in the plane under similarity transformations, in: CCCG 2007, 2007, pp. 181-184.
4. Akutsu T., Tamaki H., and Tokuyama T. Distribution of distances and triangles in a point set and algorithms for computing the largest common point sets. Discrete & Computational Geometry 20 3 (1998) 307-331
5. Boxer L. Point set pattern matching in 3-D. Pattern Recognition Letters 17 12 (1996) 1293-1297
6. J.F. Canny, A variational approach to edge detection, in: AAAI 1983, 1983, pp. 54-58.
7. Chazelle B. Cutting hyperplanes for divide-and-conquer. Discrete & Computational Geometry 9 (1993) 145-158
8. Cho M., and Mount D.M. Improved approximation bounds for planar point pattern matching. Algorithmica 50 2 (2008) 175-207
9. D.E. Cardoze, L.J. Schulman, Pattern matching for spatial point sets, Foundation of Computer Science (1998) 156-165.
10. Chew P., Goodrich M., Huttenlocher D., Kedem K., Kleinberg J., and Kravets D. Geometric pattern matching under Euclidean motion. Computational Geometry: Theory and Applications 7 (1997) 113-124
11. Erdos P. On sets of distances of n points. American Mathematical Monthly 53 (1946) 248-250
12. G.D. Fonseca, Approximate range searching: the absolute model, in: WADS 2007, 2007, pp. 2-14.
13. Goodrich M.T., Mitchell J.S.B., and Orletsky M.W. Approximate geometric pattern matching using rigid motions. IEEE Transactions on Pattern Analysis and Matching Intelligence 21 4 (1999) 371-379
14. Gavrilov M., Indyk P., Motwani R., and Venkatasubramanian S. Combinatorial and experimental methods for approximate point pattern matching. Algorithmica 38 1 (2003) 59-90
15. Heffernan P.J., and Schirra S. Approximate decision algorithms for point set congruence. Computational Geometry: Theory and Applications 4 (1994) 137-156
16. D.P. Huttenlocher, K. Kedem, Computing the Hausdorff distance for point sets under translation, in: Proceedings of the Sixth ACM Symposium on Computational Geometry, 1990, pp. 340-349.
17. Huttenlocher D.P., Kedem K., and Sharir M. The upper envelope of Voronoi surfaces and its applications. Discrete & Computational Geometry 9 (1993) 267-291
18. Huttenlocher D.P., and Ullman S. Recognizing solid objects by alignment with an image. International Journal of Computer Vision 5 2 (1990) 195-212
19. Mount D.M., Netanyahu N.S., and Le Moigne J. Efficient algorithms for robust feature matching. Pattern Recognition 32 1 (1999) 17-38
20. Olson C.F., and Huttenlocher D.P. Automatic target recognition by matching oriented edge pixels. IEEE Transactions on Image Processing 6 1 (1997) 103-113
21. Rucklidge W. Efficiently locating objects using the Hausdorff distance. International Journal of Computer Vision 24 3 (1997) 251-270
22. Szemeredi E., and Trotter W.T. Extremal problems in discrete geometry. Combinatorica 3 (1983) 381-392