메뉴 건너뛰기




Volumn 53, Issue , 2016, Pages 229-237

The Kolmogorov-Sinai entropy in the setting of fuzzy sets for image texture analysis and classification

Author keywords

Chaos; Fuzzy sets; Image classification; Kolmogorov Sinai entropy; Texture analysis; Uncertainty

Indexed keywords

CHAOS THEORY; DYNAMICAL SYSTEMS; ENTROPY; FUZZY SETS; IMAGE ANALYSIS; IMAGE TEXTURE; PROBABILITY DISTRIBUTIONS; SIGNAL THEORY; UNCERTAINTY ANALYSIS;

EID: 84958117557     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2015.12.012     Document Type: Article
Times cited : (28)

References (67)
  • 4
    • 0026821278 scopus 로고
    • Texture classification and segmentation using multiresolution simultaneous autoregressive models
    • J. Mao, and A.K. Jain Texture classification and segmentation using multiresolution simultaneous autoregressive models Pattern Recognit. 25 1992 173 188
    • (1992) Pattern Recognit. , vol.25 , pp. 173-188
    • Mao, J.1    Jain, A.K.2
  • 5
    • 0035294772 scopus 로고    scopus 로고
    • Brief review of invariant texture analysis methods
    • J. Zhang, and T. Tan Brief review of invariant texture analysis methods Pattern Recognit. 35 2002 735 747
    • (2002) Pattern Recognit. , vol.35 , pp. 735-747
    • Zhang, J.1    Tan, T.2
  • 6
    • 84900834029 scopus 로고    scopus 로고
    • A statistical model for magnitudes and angles of wavelet frame coefficients and its application to texture retrieval
    • E. de Ves, D. Acevedo, A. Ruedin, and X. Benavent A statistical model for magnitudes and angles of wavelet frame coefficients and its application to texture retrieval Pattern Recognit. 47 2014 2925 2939
    • (2014) Pattern Recognit. , vol.47 , pp. 2925-2939
    • De Ves, E.1    Acevedo, D.2    Ruedin, A.3    Benavent, X.4
  • 7
    • 84900543728 scopus 로고    scopus 로고
    • Detect foreground objects via adaptive fusing model in a hybrid feature space
    • Z. Ji, and W. Wang Detect foreground objects via adaptive fusing model in a hybrid feature space Pattern Recognit. 47 2014 2952 2961
    • (2014) Pattern Recognit. , vol.47 , pp. 2952-2961
    • Ji, Z.1    Wang, W.2
  • 9
    • 84920125783 scopus 로고    scopus 로고
    • Structure-guided statistical textural distinctiveness for salient region detection in natural images
    • C. Scharfenberger, A. Wong, and D.A. Clausi Structure-guided statistical textural distinctiveness for salient region detection in natural images IEEE Trans. Image Process. 24 2015 457 470
    • (2015) IEEE Trans. Image Process. , vol.24 , pp. 457-470
    • Scharfenberger, C.1    Wong, A.2    Clausi, D.A.3
  • 10
    • 84925177351 scopus 로고    scopus 로고
    • Content-based image retrieval using features extracted from halftoning-based block truncation coding
    • J.M. Guo, and H. Prasetyo Content-based image retrieval using features extracted from halftoning-based block truncation coding IEEE Trans. Image Process. 24 2015 1010 1024
    • (2015) IEEE Trans. Image Process. , vol.24 , pp. 1010-1024
    • Guo, J.M.1    Prasetyo, H.2
  • 11
    • 84910129220 scopus 로고    scopus 로고
    • Effective texture classification by texton encoding induced statistical features
    • J. Xie, L. Zhang, J. You, and S. Shiu Effective texture classification by texton encoding induced statistical features Pattern Recognit. 48 2015 447 457
    • (2015) Pattern Recognit. , vol.48 , pp. 447-457
    • Xie, J.1    Zhang, L.2    You, J.3    Shiu, S.4
  • 12
    • 84928302912 scopus 로고    scopus 로고
    • Joint adaptive median binary patterns for texture classification
    • A. Hafiane, K. Palaniappan, and G. Seetharaman Joint adaptive median binary patterns for texture classification Pattern Recognit. 48 2015 2609 2620
    • (2015) Pattern Recognit. , vol.48 , pp. 2609-2620
    • Hafiane, A.1    Palaniappan, K.2    Seetharaman, G.3
  • 13
    • 84928305639 scopus 로고    scopus 로고
    • Exploring space-frequency co-occurrences via local quantized patterns for texture representation
    • T. Song, H. Li, F. Meng, Q. Wu, and B. Luo Exploring space-frequency co-occurrences via local quantized patterns for texture representation Pattern Recognit. 48 2015 2621 2632
    • (2015) Pattern Recognit. , vol.48 , pp. 2621-2632
    • Song, T.1    Li, H.2    Meng, F.3    Wu, Q.4    Luo, B.5
  • 14
    • 84928277363 scopus 로고    scopus 로고
    • A scale- and orientation-adaptive extension of local binary patterns for texture classification
    • S. Hegenbart, and A. Uhl A scale- and orientation-adaptive extension of local binary patterns for texture classification Pattern Recognit. 48 2015 2633 2644
    • (2015) Pattern Recognit. , vol.48 , pp. 2633-2644
    • Hegenbart, S.1    Uhl, A.2
  • 15
    • 84860697153 scopus 로고    scopus 로고
    • Using texture analysis for medical diagnosis
    • R. Parekh Using texture analysis for medical diagnosis IEEE MultiMed. 19 2012 28 37
    • (2012) IEEE MultiMed. , vol.19 , pp. 28-37
    • Parekh, R.1
  • 16
    • 84877850701 scopus 로고    scopus 로고
    • A texture based pattern recognition approach to distinguish melanoma from non-melanoma cells in histopathological tissue microarray sections
    • E. Rexhepaj, M. Agnarsdottir, J. Bergman, P.H. Edqvist, M. Bergqvist, M. Uhlen, W.M. Gallagher, E. Lundberg, and F. Ponten A texture based pattern recognition approach to distinguish melanoma from non-melanoma cells in histopathological tissue microarray sections PLoS One 8 5 2013 e62070 10.1371/journal.pone.0062070
    • (2013) PLoS One , vol.8 , Issue.5 , pp. e62070
    • Rexhepaj, E.1    Agnarsdottir, M.2    Bergman, J.3    Edqvist, P.H.4    Bergqvist, M.5    Uhlen, M.6    Gallagher, W.M.7    Lundberg, E.8    Ponten, F.9
  • 18
    • 84901049611 scopus 로고    scopus 로고
    • Tracking protein turnover and degradation by microscopy: Photo-switchable versus time-encoded fluorescent proteins
    • M. Knop, and B.A. Edgar Tracking protein turnover and degradation by microscopy: photo-switchable versus time-encoded fluorescent proteins Open Biol. 4 2014 140002 10.1098/rsob.140002
    • (2014) Open Biol. , vol.4 , pp. 140002
    • Knop, M.1    Edgar, B.A.2
  • 19
  • 20
    • 84897115186 scopus 로고    scopus 로고
    • HEp-2 cells classification via sparse representation of textural features fused into dissimilarity space
    • I. Theodorakopoulos, D. Kastaniotis, G. Economou, and S. Fotopoulos HEp-2 cells classification via sparse representation of textural features fused into dissimilarity space Pattern Recognit. 47 2014 2367 2378
    • (2014) Pattern Recognit. , vol.47 , pp. 2367-2378
    • Theodorakopoulos, I.1    Kastaniotis, D.2    Economou, G.3    Fotopoulos, S.4
  • 21
    • 0027677864 scopus 로고
    • Texture analysis and classification with tree-structured wavelet transform
    • T. Chang, and C.C.J. Kuo Texture analysis and classification with tree-structured wavelet transform IEEE Trans. Image Process. 2 1993 429 441
    • (1993) IEEE Trans. Image Process. , vol.2 , pp. 429-441
    • Chang, T.1    Kuo, C.C.J.2
  • 24
    • 0027698245 scopus 로고
    • Self-reference and chaos in fuzzy logic
    • P. Grim Self-reference and chaos in fuzzy logic IEEE Trans. Fuzzy Syst. 1 1993 237 253
    • (1993) IEEE Trans. Fuzzy Syst. , vol.1 , pp. 237-253
    • Grim, P.1
  • 25
    • 0024627335 scopus 로고
    • Information and entropy in strange attractors
    • A.M. Fraser Information and entropy in strange attractors IEEE Trans. Inf. Theory 35 1989 245 262
    • (1989) IEEE Trans. Inf. Theory , vol.35 , pp. 245-262
    • Fraser, A.M.1
  • 27
    • 84885344063 scopus 로고    scopus 로고
    • Information entropy as a basic building block of complexity theory
    • J. Gao, F. Liu, J. Zhang, J. Hu, and Y. Cao Information entropy as a basic building block of complexity theory Entropy 15 2013 3396 3418
    • (2013) Entropy , vol.15 , pp. 3396-3418
    • Gao, J.1    Liu, F.2    Zhang, J.3    Hu, J.4    Cao, Y.5
  • 30
    • 84899808680 scopus 로고    scopus 로고
    • The butterfly effect in ER dynamics and ER-mitochondrial contacts
    • T.D. Pham The butterfly effect in ER dynamics and ER-mitochondrial contacts Chaos Solitons Fractals 65 2014 5 19
    • (2014) Chaos Solitons Fractals , vol.65 , pp. 5-19
    • Pham, T.D.1
  • 33
    • 0020802455 scopus 로고
    • Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems
    • L.S. Young Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems IEEE Trans. Circuits Syst. 30 1983 599 607
    • (1983) IEEE Trans. Circuits Syst. , vol.30 , pp. 599-607
    • Young, L.S.1
  • 34
    • 0003582543 scopus 로고    scopus 로고
    • 2nd edition Cambridge University Press New York
    • E. Ott Chaos in Dynamical Systems 2nd edition 2002 Cambridge University Press New York
    • (2002) Chaos in Dynamical Systems
    • Ott, E.1
  • 35
    • 0001494176 scopus 로고
    • Entropy per unit time as a metric invariant of automorphism
    • A.N. Kolmogorov Entropy per unit time as a metric invariant of automorphism Dokl. Russ. Acad. Sci. 124 1959 754 755
    • (1959) Dokl. Russ. Acad. Sci. , vol.124 , pp. 754-755
    • Kolmogorov, A.N.1
  • 36
    • 0000419815 scopus 로고
    • On the notion of entropy of a dynamical system
    • Y.G. Sinai On the notion of entropy of a dynamical system Dokl. Russ. Acad. Sci. 124 1959 768 771
    • (1959) Dokl. Russ. Acad. Sci. , vol.124 , pp. 768-771
    • Sinai, Y.G.1
  • 38
    • 34248666540 scopus 로고
    • Fuzzy sets
    • L.A. Zadeh Fuzzy sets Inf. Control 8 1965 338 353
    • (1965) Inf. Control , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 39
    • 0015340630 scopus 로고
    • A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
    • A. De Luca, and S. Termini A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory Inf. Control 20 1972 301 312
    • (1972) Inf. Control , vol.20 , pp. 301-312
    • De Luca, A.1    Termini, S.2
  • 41
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • L.A. Zadeh Fuzzy sets as a basis for a theory of possibility Fuzzy Sets Syst. 1 1978 3 28
    • (1978) Fuzzy Sets Syst. , vol.1 , pp. 3-28
    • Zadeh, L.A.1
  • 42
    • 84910651154 scopus 로고    scopus 로고
    • Classification of complex biological aging images using fuzzy Kolmogorov-Sinai entropy
    • T.D. Pham Classification of complex biological aging images using fuzzy Kolmogorov-Sinai entropy J. Phys. D: Appl. Phys. 47 2014 402 485
    • (2014) J. Phys. D: Appl. Phys. , vol.47 , pp. 402-485
    • Pham, T.D.1
  • 45
    • 84963164472 scopus 로고
    • Fuzziness vs. Probability
    • B. Kosko Fuzziness vs. probability Int. J. Gen. Syst. 17 1990 211 240
    • (1990) Int. J. Gen. Syst. , vol.17 , pp. 211-240
    • Kosko, B.1
  • 47
    • 0040281901 scopus 로고
    • A fundamental link between system theory and statistical mechanics
    • H. Atmanspacher, and H. Scheingraber A fundamental link between system theory and statistical mechanics Found. Phys. 17 1987 939 963
    • (1987) Found. Phys. , vol.17 , pp. 939-963
    • Atmanspacher, H.1    Scheingraber, H.2
  • 49
    • 0024855529 scopus 로고
    • Analysis of the structure of radiometric remotely-sensed images
    • G. Ramstein, and M. Raffy Analysis of the structure of radiometric remotely-sensed images Int. J. Remote Sens. 10 1989 1049 1073
    • (1989) Int. J. Remote Sens. , vol.10 , pp. 1049-1073
    • Ramstein, G.1    Raffy, M.2
  • 50
    • 84891830032 scopus 로고    scopus 로고
    • Geostatistical entropy for texture analysis: An indicator kriging approach
    • T.D. Pham Geostatistical entropy for texture analysis: an indicator kriging approach Int. J. Intell. Syst. 29 2014 253 265
    • (2014) Int. J. Intell. Syst. , vol.29 , pp. 253-265
    • Pham, T.D.1
  • 51
    • 0002452102 scopus 로고    scopus 로고
    • A note on Lena
    • (accessed 07 August 2015)
    • D.C. Munson A note on Lena IEEE Trans. Image Process. 5 1 1996 (http://www.cs.cmu.edu/~chuck/lennapg/editor.html) (accessed 07 August 2015).
    • (1996) IEEE Trans. Image Process. , vol.5 , Issue.1
    • Munson, D.C.1
  • 52
    • 84886070866 scopus 로고    scopus 로고
    • Spatial chaos and complexity in the intracellular space of cancer and normal cells
    • T.D. Pham, and K. Ichikawa Spatial chaos and complexity in the intracellular space of cancer and normal cells Theor. Biol. Med. Model. 10 2013 62 10.1186/1742-4682-10-62
    • (2013) Theor. Biol. Med. Model. , vol.10 , pp. 62
    • Pham, T.D.1    Ichikawa, K.2
  • 53
    • 84906933772 scopus 로고    scopus 로고
    • Identification of intestinal wall abnormalities and ischemia by modeling spatial uncertainty in computed tomography imaging findings
    • T. Tsunoyama, T.D. Pham, T. Fujita, and T. Sakamoto Identification of intestinal wall abnormalities and ischemia by modeling spatial uncertainty in computed tomography imaging findings Comput. Methods Programs Biomed. 117 2014 30 39
    • (2014) Comput. Methods Programs Biomed. , vol.117 , pp. 30-39
    • Tsunoyama, T.1    Pham, T.D.2    Fujita, T.3    Sakamoto, T.4
  • 54
    • 84876707141 scopus 로고    scopus 로고
    • Entropy and regularity dimension in complexity analysis of cortical surface structure in early Alzheimer's disease and aging
    • Y. Chen, and T.D. Pham Entropy and regularity dimension in complexity analysis of cortical surface structure in early Alzheimer's disease and aging J. Neurosci. Methods 215 2013 210 217
    • (2013) J. Neurosci. Methods , vol.215 , pp. 210-217
    • Chen, Y.1    Pham, T.D.2
  • 55
    • 6344232554 scopus 로고
    • Fuzzy random variables-I. Definitions and theorems
    • H. Kwakernaak Fuzzy random variables-I. Definitions and theorems Inf. Sci. 15 1978 1 29
    • (1978) Inf. Sci. , vol.15 , pp. 1-29
    • Kwakernaak, H.1
  • 56
    • 26944480882 scopus 로고
    • Fuzzy random variables-II. Algorithms and examples for the discrete case
    • H. Kwakernaak Fuzzy random variables-II. Algorithms and examples for the discrete case Inf. Sci. 17 1979 253 278
    • (1979) Inf. Sci. , vol.17 , pp. 253-278
    • Kwakernaak, H.1
  • 57
    • 0022674414 scopus 로고
    • Fuzzy random variables
    • M.L. Puri Fuzzy random variables J. Math. Anal. Appl. 114 1986 409 422
    • (1986) J. Math. Anal. Appl. , vol.114 , pp. 409-422
    • Puri, M.L.1
  • 59
    • 0032296127 scopus 로고    scopus 로고
    • Constraints on belief functions imposed by fuzzy random variables: Some technical remarks on Romer-Kandel
    • V. Kratschmer Constraints on belief functions imposed by fuzzy random variables: some technical remarks on Romer-Kandel IEEE Trans. Syst. Man Cybern.: Part B 28 1998 881 883
    • (1998) IEEE Trans. Syst. Man Cybern.: Part B , vol.28 , pp. 881-883
    • Kratschmer, V.1
  • 62
    • 0018918171 scopus 로고
    • An algorithm for vector quantizer design
    • Y. Linde, A. Buzo, and R. Gray An algorithm for vector quantizer design IEEE Trans. Commun. 28 1980 84 95
    • (1980) IEEE Trans. Commun. , vol.28 , pp. 84-95
    • Linde, Y.1    Buzo, A.2    Gray, R.3
  • 66
    • 33748062355 scopus 로고    scopus 로고
    • Overview on the development of fuzzy random variables
    • M.A. Gila, M. Lopez-Díaza, and D.A. Ralescu Overview on the development of fuzzy random variables Fuzzy Sets Syst. 157 2006 409 422
    • (2006) Fuzzy Sets Syst. , vol.157 , pp. 409-422
    • Gila, M.A.1    Lopez-Díaza, M.2    Ralescu, D.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.