Clustering based on Steiner points

International Journal of Machine Learning and Cybernetics

Volumn 3, Issue 2, 2012, Pages 141-148

  Liang, Jiuzhen ^a   Song, Wei ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

2D data; Clustering; Convex hull; Image segmentation; Steiner point

Indexed keywords

2D DATA; 2D OBJECTS; CLASSICAL K-MEANS; CLUSTERING; CONVEX HULL; CURVATURE CENTER; DATA CLUSTERING; DATA SETS; FUZZY C MEANS CLUSTERING; K-MEANS CLUSTERING; LINEAR ORDER; STABILITY ANALYSIS; STEINER POINTS;

IMAGE SEGMENTATION;

CLUSTERING ALGORITHMS;

EID: 84861492561     PISSN: 18688071     EISSN: 1868808X     Source Type: Journal    
DOI: 10.1007/s13042-011-0047-7     Document Type: Article

References (24)

1. Jain AK, Murty MN, Flynn PJ (1999) Data clustering: a review. ACM Comput Surv 31(3): 264-323.
2. Duda RO, Hart PE, Stork DG (2004) Pattern classification, 2nd edn. China Machine Press, China.
3. Haykin S (2001) Neural networks: a comprehension foundation, 2nd edn. Prentice Hall, Englewood Cliffs.
4. Guo G, Chen S, Chen L (2011) Soft subspace clustering with an improved feature weight self-adjustment mechanism. Int J Mach Learn Cybern.
5. Cristianini N, Shawe-Taylor J (2000) An introduction to support vector machines and other Kernel-based learning methods. Cambridge University Press, Cambridge.
6. Girolami M, Kernel M (2002) Based clustering in feature space. IEEE Trans Neural Netw 13(3): 780-784.
7. Huang GB, Wang DH, Lan Y (2001) Extreme learning machines: a survey. Int J Mach Learn Cybern 2(2): 107-122.
8. Liang JZ, Gao JH (2005) Kernel Function Clustering Algorithm with Optimized Parameters. In: The fourth international conference on machine learning and cybernetics, Guangzhou, vol 7, pp 4400-4404.
9. Grunbaum B (2003) Convex polytopes, 2nd edn. Springer, New York.
10. Shephard GC (1968) A uniqueness theorem for the Steiner point of a convex region. J Lond Math Soc 43: 439-444.
11. Vetterlein T, Navara M (2006) Defuzzification using Steiner points. Fuzzy Sets Syst 157: 1455-1462.
12. Sternberg SR (1986) Grayscale morhpology, computer vision. Graph Image Process 35: 333-355.
13. Mondaini R, Freire Mondaini D, Maculan N (1998) The study of Steiner points associated with the vertices of regular tetrahedra joined together at common faces. Invest Opera 6(1-3): 103-110.
14. Meyer WJ (1970) Characterization of the Steiner point. Pacif J Math 35(3): 717-725.
15. Schneider R (1971) On Steiner points of convex bodies. Israel J Math 9: 241-249.
16. Mattioli J (1995) Minkowski operations and vector spaces. Set-valued Anal 3: 33-35.
17. Korner R, Nather W (1998) Linear regression with random fuzzy variables: extended classical estimates, best linear estimates, least squares estimates. Inform Sci 109: 95-118.
18. Schneider R (1993) Convex bodies: the Brunn-Minkowski theory. Cambridge University Press, Cambridge.
19. Chen C (1989) Computing the convex hull of a simple polygon. Pattern Recogn 22(5): 561-565.
20. Liang J., Navara M (2007) Implementation of Calculating Steiner Point for 2D Objects. In: Proceedings of the 2007 international conference on intelligent systems and knowledge engineering, Chengdu, 15-16 October 2007, pp 1592-1598.
21. Durocher S, Kirkpatric D (2006) The Steiner centre of a set of points: stability, eccentricity and applications to mobile facility locations. Int J Comput Geom Appl 16(4): 345-371.
22. http://people. sc. fsu. edu/jburkardt/datasets/datasets. html.
23. http://cmp. felk. cvut. cz/hlavac/TeachPresEn/15ImageAnalysis/.
24. http://www. cs. toronto. edu/jepson/csc2503.