Tolerance classes in measuring image resemblance

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5712 LNAI, Issue PART 2, 2009, Pages 127-134

  Meghdadi, A H ^a   Peters, J F ^a   Ramanna, S ^a,b  

^a UNIVERSITY OF MANITOBA   (Canada)

^b UNIVERSITY OF WINNIPEG   (Canada)

Author keywords

Image resemblance; Measure; Near sets; Perception; Tolerance space

Indexed keywords

BASIC IDEA; HUMAN PERCEPTION; IMAGE CORRESPONDENCE; NEAR SET; ROUGH SET; TOLERANCE CLASS; TOLERANCE RELATIONS;

KNOWLEDGE BASED SYSTEMS; KNOWLEDGE ENGINEERING; SET THEORY;

FITS AND TOLERANCES;

EID: 70849092420     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-04592-9_16     Document Type: Conference Paper

References (23)

1. Henry, C., Peters, J.F.: Image pattern recognition using approximation spaces and near sets. In: An, A., Stefanowski, J., Ramanna, S., Butz, C.J., Pedrycz, W., Wang, G. (eds.) RSFDGrC 2007. LNCS (LNAI), vol. 4482, pp. 475-482. Springer, Heidelberg (2007)
2. Henry, C., Peters, J.F.: Near set index in an objective image segmentation evaluation framework. In: GEOgraphic Object Based Image Analysis: Pixels, Objects, Intelligence, University of Calgary, Alberta, pp. 1-6 (2008)
3. Peters, J.F., Wasilewski, P.: Foundations of near sets. Information Sciences 179(18), 3091-3109 (2009)
4. Henry, C., Peters, J.: Perception-based image analysis. Int. J. of Bio-Inspired Computation 2(2) (to appear, 2009)
5. Pawlak, Z., Peters, J.: Jak blisko (how near). Systemy Wspomagania Decyzji I, 57-109 (2002)
6. Peters, J.: Near sets. special theory about nearness of objects. Fundamenta Informaticae 76, 1-27 (2007)
7. Peters, J.F.: Near sets. general theory about nearness of objects. Applied Mathematical Sciences 1(53), 2609-2629 (2007)
8. Peters, J.F.: Tolerance near sets and image correspondence. Int. J. of Bio-Inspired Computation 4(1), 239-245 (2009)
9. Orłowska, E.: Semantics of vague concepts. applications of rough sets. Technical Report 469, Institute for Computer Science, Polish Academy of Sciences (1982)
10. Orłowska, E.: Semantics of vague concepts. In: Dorn, G., Weingartner, P. (eds.) Foundations of Logic and Linguistics. Problems and Solutions, pp. 465-482. Plenum Pres, London (1985)
11. Zeeman, E.C.: The topology of the brain and the visual perception. Prentice Hall, New Jersey (1965); Fort, K.M. (ed.): Topology of 3-manifolds and Selected Topics, pp. 240-256
12. Sossinsky, A.B.: Tolerance space theory and some applications. Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications 5(2), 137-167 (1986)
13. Poincaré, H.: The topology of the brain and the visual perception. Prentice Hall, New Jersey (1965); Fort, K.M. (ed.): Topology of 3-manifolds and Selected Topics, pp. 240-256
14. Hassanien, A.E., Abraham, A., Peters, J.F., Schaefer, G., Henry, C.: Rough sets and near sets in medical imaging: A review. IEEE TRansactions on Information Technology in Biomedicine (to appear, 2009)
15. Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences 11, 341-356 (1982)
16. Peters, J.F.: Discovery of perceptually near information granules. In: Yao, J.T. (ed.) Novel Developements in Granular Computing: Applications of Advanced Human Reasoning and Soft Computation. Information Science Reference, Hersey, N.Y., USA (in press, 2009)
17. Peters, J.F., Ramanna, S.: Affinities between perceptual granules: Foundations and perspectives. In: Bargiela, A., Pedrycz, W. (eds.) Human-Centric Information Processing Through Granular Modelling. SCI, vol. 182, pp. 49-66. Springer, Heidelberg (2009)
18. Bartol, W., Miró, J., Pióro, K., Rosselló, F.: On the coverings by tolerance classes. Inf. Sci. Inf. Comput. Sci. 166(1-4), 193-211 (2004)
19. Gerasin, S.N., Shlyakhov, V.V., Yakovlev, S.V.: Set coverings and tolerance relations. Cybernetics and Sys. Anal. 44(3), 333-340 (2008)
20. Schroeder, M., Wright, M.: Tolerance and weak tolerance relations. Journal of Combinatorial Mathematics and Combinatorial Computing 11, 123-160 (1992)
21. Shreider, Y.A.: Tolerance spaces. Cybernetics and Systems Analysis 6(12), 153-758 (1970)
22. Skowron, A., Stepaniuk, J.: Tolerance Approximation Spaces. Fundamenta Infor-maticae 27(2/3), 245-253 (1996)
23. Zheng, Z., Hu, H., Shi, Z.: Tolerance Relation Based Granular Space. In: Ślezak, D., Wang, G., Szczuka, M.S., Düntsch, I., Yao, Y. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, p. 682. Springer, Heidelberg (2005)