Fractional differentiation and non-Pareto multiobjective optimization for image thresholding

Engineering Applications of Artificial Intelligence

Volumn 22, Issue 2, 2009, Pages 236-249

  Nakib, A ^a   Oulhadj, H ^a   Siarry, P ^a  

^a UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

Fractional differentiation; Geometric regularity; Image segmentation; Image thresholding; Multiobjective optimisation; Non parametric method; Non Pareto optimization; Parametric method

Indexed keywords

DAMPING; DIGITAL IMAGE STORAGE; IMAGE PROCESSING; IMAGE SEGMENTATION; MEDICAL IMAGING; OPTIMIZATION; PARETO PRINCIPLE;

FRACTIONAL DIFFERENTIATION; GEOMETRIC REGULARITY; IMAGE THRESHOLDING; MULTIOBJECTIVE OPTIMISATION; NON-PARAMETRIC METHOD; NON-PARETO OPTIMIZATION; PARAMETRIC METHOD;

MULTIOBJECTIVE OPTIMIZATION;

EID: 58949091429     PISSN: 09521976     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engappai.2008.07.005     Document Type: Article

References (30)

1. Abutaleb A.S. Automatic Thresholding of Gray-Level Pictures Using Two-Dimensional Entropy. Computer Vision, Graphics and Image Processing 47 (1989) 22-32
2. Battaglia J.L., Cois O., Puigsegus L., and Oustaloup A. Solving an inverse heat conduction problem using a non-integer identified model. International Journal of Heat and Mass Transfer 44 (2001) 2671-2680
3. Bazi Y., Bruzzone L., and Melgani F. Image thresholding based on the EM algorithm and the generalized Gaussian distribution. Patter Recognition Journal 40 (2007) 619-634
4. Beghdadi A., Negrate A.L., and De Lesegno P.V. Entropic thresholding using a block source model. Graph. Models Image Processing 57 (1995) 197-205
5. Brink A.D. Thresholding of digital images using two-dimensional entropies. Pattern Recognition Journal 25 (1992) 803-808
6. Cheng H.D., and Chen Y.H. Fuzzy partition of 2D histogram and its application to thresholding. Pattern Recognition Journal 32 (1999) 825-843
7. Feng D., Wenkang S., Liangzhou C., Yong D., and Zhenfu Z. Infrared image segmentation with 2-D maximum entropy method based on particle swarm optimisation (PSO). Pattern Recognition Letters 26 (2005) 597-603
8. Ferdi Y., Herbeuval J.P., and Charel A. Un filtre numérique basé sur la dérivation non-entière pour l'analyse du signal électrocardiographique. Journal de l'Innovation et Technologie en Biologie et Médecine 21 (2000) 205-209
9. Kapur J.N., Sahoo P.K., and Wong A.C.K. A new method for gray-level picture thresholding using the entropy of the histogram. Computer Vision, Graphics and Image Processing 29 (1985) 273-285
10. Li C.H., and Lee C.K. Minimum cross entropy thresholding. Pattern Recognition Letters 26 (1993) 617-625
11. Mathieu B., Melchior P., Oustaloup A., and Ceyral Ch. Fractional differentiation for edge detection. Signal Processing 83 (2003) 2421-2432
12. Miller K., and Ross B. An introduction to fractional calculus and fractional differential equations (1993), Wiley
13. Nakib, A., Minery, A., Oulhadj, H., Siarry, P., 2005. Modified intra-class variance minimization for segmentation of retinal angiographic images. In: Conference FRGBM, Nancy, France, pp. 134-135.
14. Nakib A., Oulhadj H., and Siarry P. Image histogram thresholding based on multibojective optimization. Signal Processing 87 (2007) 2516-2534
15. Ng H. Automatic thresholding for defect detection. Pattern Recognition Letters 27 (2006) 1644-1649
16. Oldham K., and Spanier J. The Fractional Calculus (1974), Academic Press
17. Otsu N. A threshold selection method from gray-level histograms. IEEE Transactions on Systems, Man and Cybernetics 9 1 (1979) 62-66
18. Oustaloup A., and Linarès H. The CRONE path planning. Mathematics and Computers in Simulation 41 (1996) 209-217
19. Pal N.K., and Pal S.K. Object-background segmentation using new definitions of entropy. IEE Proceedings on Computer and Digital Techniques 136 (1989) 284-295
20. Portes de Albuquerque M., Esquef I., and Gesualdi Mello A. Image thresholding using Tsallis entropy. Pattern Recognition Letters 25 (2004) 1059-1065
21. Prodlubny I. Geometric and physical interpretation of fractional integration and fractional differentiation. Fractional Calculus and Applied Analysis 5 4 (2002) 367-386
22. Ramus-Serment C., Moreau X., Nouillant M., Oustaloup A., and Levron F. Generalised approach on fractional response of fractal networks. Chaos, Solitons and Fractals 14 (2002) 479-488
23. Sahoo K.P., and Arora G. Image thresholding using two dimensional Tsallis-Havrda-Charvat entropy. Pattern Recognition Letters 27 (2006) 520-528
24. Sahoo P.K., Soltani S.A., Wong K.C., and Chen Y.C. A survey of thresholding techniques. Computer Vision, Graphics, and Image Processing 41 (1988) 233-260
25. Sezgin M., and Sankur B. Survey over image thresholding techniques and quantitative performance evaluation. Journal of Electronic Imaging 13 1 (2004) 146-165
26. Synder W., and Bilbro G. Optimal thresholding-A new approach. Pattern Recognition Letters 11 (1990) 803-810
27. Weszka J.S. A survey of threshold selection techniques. Computer Graphics Image Processing 7 (1978) 259-265
28. Weszka J.S., and Rosenfeld A. Histogram modification for threshold selection. IEEE Transactions on Systems Man and Cybernetics 9 (1979) 38-52
29. Yin P.Y. A fast scheme for optimal thresholding using genetic algorithms. Signal Processing 72 (1999) 85-95
30. Zahara E., Fan S.S., and Tsai D. Optimal multi-thresholding using a hybrid optimization approach. Pattern Recognition Letters 26 (2004) 1082-1095