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Volumn 19, Issue 2, 2010, Pages 491-511

Fractional differential mask: A fractional differential-based approach for multiscale texture enhancement

Author keywords

Fractional difference; Fractional differential operator; Fractional interpolation; Multiscale fractional differential analysis; Texture enhancement

Indexed keywords

DIGITAL IMAGE; FRACTIONAL DIFFERENTIAL; FRACTIONAL DIFFERENTIAL OPERATORS; FRACTIONAL INTERPOLATION; HIGH-PRECISION; MULTI-SCALE FRACTIONAL DIFFERENTIAL; MULTISCALES; NEGATIVE X; TEXTURE ENHANCEMENT;

EID: 76849089349     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2009.2035980     Document Type: Article
Times cited : (480)

References (64)
  • 1
    • 0022660799 scopus 로고
    • A texture-enhancement procedure for separating orchard from forest in Thematic Mapper data
    • D. K. Gordon and W. R. Philipson, "A texture-enhancement procedure for separating orchard from forest in Thematic Mapper data," Int. J. Remote Sens., vol.7, no.2, pp. 301-304, 1986.
    • (1986) Int. J. Remote Sens. , vol.7 , Issue.2 , pp. 301-304
    • Gordon, D.K.1    Philipson, W.R.2
  • 4
    • 0345501671 scopus 로고    scopus 로고
    • Control of texture in image halftoning
    • T. Scheermesser and O. Bryngdahl, "Control of texture in image halftoning," J. Opt. Soc. Amer. A, vol.13, no.8, pp. 1645-1652, 1996.
    • (1996) J. Opt. Soc. Amer. A , vol.13 , Issue.8 , pp. 1645-1652
    • Scheermesser, T.1    Bryngdahl, O.2
  • 6
    • 0026359763 scopus 로고    scopus 로고
    • Enhancement of sand dune texture from landsat imagery using difference of Gaussian filter
    • K. G. Alhinai, M. A. Khan, and A. A. Canas, "Enhancement of sand dune texture from landsat imagery using difference of Gaussian filter," Int. J. Remote Sens., vol.12, pp. 1063-1069, 2008.
    • (2008) Int. J. Remote Sens. , vol.12 , pp. 1063-1069
    • Alhinai, K.G.1    Khan, M.A.2    Canas, A.A.3
  • 7
    • 76849117260 scopus 로고    scopus 로고
    • Highlight and reflection independent multiresolution textures from image sequences
    • E. Ofek, E. Shilat, A. Rappopport, and M. Werman, "Highlight and reflection independent multiresolution textures from image sequences," IEEE Comput. Graph. Appl., vol.17, no.2, pp. 141-165, 1997.
    • (1997) IEEE Comput. Graph. Appl. , vol.17 , Issue.2 , pp. 141-165
    • Ofek, E.1    Shilat, E.2    Rappopport, A.3    Werman, M.4
  • 8
    • 0025543670 scopus 로고
    • Super resolution from image sequences
    • Atlantic City, NJ
    • M. Irani and S. Peleg, "Super resolution from image sequences," in Proc. Int. Conf. Pattern Recognition, Atlantic City, NJ, 1990, pp. 115-120.
    • (1990) Proc. Int. Conf. Pattern Recognition , pp. 115-120
    • Irani, M.1    Peleg, S.2
  • 10
    • 0003221010 scopus 로고
    • Spherical wavelets: Texture processing
    • P. Schröder and W. Sweldens, "Spherical wavelets: Texture processing," Rendering Techniques, vol.13, no.8, pp. 252-263, 1995.
    • (1995) Rendering Techniques , vol.13 , Issue.8 , pp. 252-263
    • Schröder, P.1    Sweldens, W.2
  • 12
    • 0005178212 scopus 로고
    • Fractional derivatives of imaginary order
    • E. R. Love, "Fractional derivatives of imaginary order," J. London Math. Soc., vol.3, pp. 241-259, 1971.
    • (1971) J. London Math. Soc. , vol.3 , pp. 241-259
    • Love, E.R.1
  • 15
  • 17
    • 0005149279 scopus 로고
    • Derivatives of noninteger order
    • K. S. Miller, "Derivatives of noninteger order," Math. Mag., vol.68, pp. 183-192, 1995.
    • (1995) Math. Mag. , vol.68 , pp. 183-192
    • Miller, K.S.1
  • 19
    • 0030127310 scopus 로고    scopus 로고
    • On fractional calculus and fractional multipoles in electromagnetism
    • N. Engheta, "On fractional calculus and fractional multipoles in electromagnetism," IEEE Trans. Antennas Propagat., vol.44, no.4, pp. 554-566, 1996.
    • (1996) IEEE Trans. Antennas Propagat. , vol.44 , Issue.4 , pp. 554-566
    • Engheta, N.1
  • 20
    • 0031199781 scopus 로고    scopus 로고
    • On the role of fractional calculus in electromagnetic theory
    • N.Engheta,"Ontheroleoffractionalcalculusinelectromagnetictheory, " IEEE Antennas Propagat. Mag., vol.39, no.4, pp. 35-46, 1997.
    • (1997) IEEE Antennas Propagat. Mag. , vol.39 , Issue.4 , pp. 35-46
    • Engheta, N.1
  • 21
    • 0007160709 scopus 로고    scopus 로고
    • Fractional calculus operators and their applications involving power functions and summation of series
    • M.-P. Chen and H. M. Srivastava, "Fractional calculus operators and their applications involving power functions and summation of series," Appl. Math. Comput., vol.81, no.2-3, pp. 287-304, 1997.
    • (1997) Appl. Math. Comput. , vol.81 , Issue.2-3 , pp. 287-304
    • Chen, M.-P.1    Srivastava, H.M.2
  • 23
    • 0036650866 scopus 로고    scopus 로고
    • Fractional calculus via functional calculus: Theory and applications
    • S. Kempfle, I. Schaefer, and H. R. Beyer, "Fractional calculus via functional calculus: Theory and applications," Nonlin. Dyn., vol.29, no.1-4, pp. 99-127, 2002.
    • (2002) Nonlin. Dyn. , vol.29 , Issue.1-4 , pp. 99-127
    • Kempfle, S.1    Schaefer, I.2    Beyer, H.R.3
  • 27
    • 0021440218 scopus 로고
    • Applications of the fractional calculus to the theory of viscoelasticity
    • R. C. Koeller, "Applications of the fractional calculus to the theory of viscoelasticity," J. Appl. Mech., vol.51, no.2, pp. 294-298, 1984.
    • (1984) J. Appl. Mech. , vol.51 , Issue.2 , pp. 294-298
    • Koeller, R.C.1
  • 28
    • 0030867045 scopus 로고    scopus 로고
    • Applications of fractional calculus to dynamic problems of linear and nonlinear heredi-tary mechanics of solids
    • Y. A. Rossikhin and M. V. Shitikova, "Applications of fractional calculus to dynamic problems of linear and nonlinear heredi-tary mechanics of solids," Appl. Mech. Rev., vol.50, pp. 15-67, 1997.
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 15-67
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 29
    • 0036648507 scopus 로고    scopus 로고
    • A suggestion of fractional-order controller for flexible spacecraft attitude control
    • S. Manabe, "A suggestion of fractional-order controller for flexible spacecraft attitude control," Nonlin. Dyn., vol.29, pp. 251-268, 2002.
    • (2002) Nonlin. Dyn. , vol.29 , pp. 251-268
    • Manabe, S.1
  • 30
    • 1642641759 scopus 로고    scopus 로고
    • Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency dependency
    • W. Chen and S. Holm, "Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency dependency," J. Acousst. Soc. Amer., vol.115, no.4, pp. 1424-1430, 2004.
    • (2004) J. Acousst. Soc. Amer. , vol.115 , Issue.4 , pp. 1424-1430
    • Chen, W.1    Holm, S.2
  • 32
    • 0035280591 scopus 로고    scopus 로고
    • Design of fractional order digital FIR differentiators
    • Mar.
    • C.-C. Tseng, "Design of fractional order digital FIR differentiators," IEEE Signal Process. Lett., vol.8, no.3, pp. 77-79, Mar. 2001.
    • (2001) IEEE Signal Process. Lett. , vol.8 , Issue.3 , pp. 77-79
    • Tseng, C.-C.1
  • 33
    • 76849095797 scopus 로고    scopus 로고
    • A new IIR-type digital fractional order dierentiator
    • Y. Chen and B. M. Vinagre, "A new IIR-type digital fractional order dierentiator," Elsevier Sci., pp. 1-12, 2003.
    • (2003) Elsevier Sci. , pp. 1-12
    • Chen, Y.1    Vinagre, B.M.2
  • 35
    • 27744438008 scopus 로고    scopus 로고
    • Five numerical algorithms of fractional calculus applied in modern signal analyzing and processing
    • Y. Pu, X. Yuan, and K. Liao et al., "Five numerical algorithms of fractional calculus applied in modern signal analyzing and processing," J. Sichuan Univ., vol.37, no.5, pp. 118-124, 2005.
    • (2005) J. Sichuan Univ. , vol.37 , Issue.5 , pp. 118-124
    • Pu, Y.1    Yuan, X.2    Liao, K.3
  • 37
    • 33645139104 scopus 로고    scopus 로고
    • Implement any fractional order neural-type pulse oscillator with net-grid type analog fractance circuit
    • (Engineering Science Edition)
    • Y. Pu, X. Yuan, and K. Liao et al., "Implement any fractional order neural-type pulse oscillator with net-grid type analog fractance circuit," J. Sichuan Univ.(Engineering Science Edition), vol.38, no.1, pp. 128-132, 2006.
    • (2006) J. Sichuan Univ. , vol.38 , Issue.1 , pp. 128-132
    • Pu, Y.1    Yuan, X.2    Liao, K.3
  • 38
    • 0031208677 scopus 로고    scopus 로고
    • Dimension estimation of discrete-time fractional Brownian motion with applications to image texture classification
    • Aug.
    • S.-C. Liu and S. Chang, "Dimension estimation of discrete-time fractional Brownian motion with applications to image texture classification," IEEE Trans. Image Process., vol.6, no.8, pp. 1176-1184, Aug. 1997.
    • (1997) IEEE Trans. Image Process. , vol.6 , Issue.8 , pp. 1176-1184
    • Liu, S.-C.1    Chang, S.2
  • 39
    • 34249335716 scopus 로고    scopus 로고
    • Fractional calculus approach to texture of digital image
    • Y. Pu, "Fractional calculus approach to texture of digital image," in IEEE Proc. 8th Int. Conf. Signal Processing, 2006, pp. 1002-1006.
    • (2006) IEEE Proc. 8th Int. Conf. Signal Processing , pp. 1002-1006
    • Pu, Y.1
  • 41
    • 49249105370 scopus 로고    scopus 로고
    • Fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation
    • Y. Pu, W.Wang, and J. Zhou et al., "Fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation," Sci. China Ser. F, Inf. Sci., vol.51, no.9, pp. 1319-1339, 2008.
    • (2008) Sci. China Ser. F, Inf. Sci. , vol.51 , Issue.9 , pp. 1319-1339
    • Pu, Y.1    Wang, W.2    Zhou, J.3
  • 44
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time-frequency representations
    • Nov.
    • L. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Process., vol.42, no.11, Nov. 1994.
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.11
    • Almeida, L.1
  • 45
    • 0032180218 scopus 로고    scopus 로고
    • The fractional wave packet transform
    • Amsterdam, The Netherlands: Springer
    • Y. Huang and B. Suter, "The fractional wave packet transform," in Multidimensional Systems and Signal Processing. Amsterdam, The Netherlands: Springer, 1998, vol. 9, pp. 399-402, No. 4.
    • (1998) Multidimensional Systems and Signal Processing , vol.9 , Issue.4 , pp. 399-402
    • Huang, Y.1    Suter, B.2
  • 46
    • 76849095798 scopus 로고    scopus 로고
    • Encryption with fractional wavelet packet method
    • C. Linfei and Z. DaomuImage, "Encryption with fractional wavelet packet method," Int. J. Light Electron Opt., vol.119, no.6, pp. 286-291, 2006.
    • (2006) Int. J. Light Electron Opt. , vol.119 , Issue.6 , pp. 286-291
    • Linfei, C.1    Daomuimage, Z.2
  • 47
    • 0343877217 scopus 로고    scopus 로고
    • Fractional splines and wavelets
    • Mar.
    • M. Unser and T. Blu, "Fractional splines and wavelets," SIAM Rev., vol.42, no.1, pp. 43-67, Mar. 2000.
    • (2000) SIAM Rev. , vol.42 , Issue.1 , pp. 43-67
    • Unser, M.1    Blu, T.2
  • 49
    • 0000162804 scopus 로고
    • The relationship between fractional calculus and fractals
    • F. B. Tatom, "The relationship between fractional calculus and fractals," Fractals, vol.3, no.1, pp. 217-229, 1995.
    • (1995) Fractals , vol.3 , Issue.1 , pp. 217-229
    • Tatom, F.B.1
  • 50
    • 0032665134 scopus 로고    scopus 로고
    • Fractional calculus and the evolution of fractal phenomena
    • A. Rocco and B.West, "Fractional calculus and the evolution of fractal phenomena," Phys. A, vol.265, no.3-4, pp. 535-546, 1999.
    • (1999) Phys. A , vol.265 , Issue.3-4 , pp. 535-546
    • Rocco, A.1    West, B.2
  • 53
    • 0031211693 scopus 로고    scopus 로고
    • Local orientation analysis in images by means of the Hermite transform
    • Aug.
    • J.-B. Martens, "Local orientation analysis in images by means of the Hermite transform," IEEE Trans. Image Process., vol.6, no.8, pp. 1103-1116, Aug. 1997.
    • (1997) IEEE Trans. Image Process. , vol.6 , Issue.8 , pp. 1103-1116
    • Martens, J.-B.1
  • 54
    • 0033722201 scopus 로고    scopus 로고
    • Image enhancement by nonlinear extrapolation in frequency space
    • Jun.
    • H. Greenspan, C. H. Anderson, and S. Akber, "Image enhancement by nonlinear extrapolation in frequency space," IEEE Trans. Image Process., vol.9, no.6, pp. 1035-1048, Jun. 2000.
    • (2000) IEEE Trans. Image Process. , vol.9 , Issue.6 , pp. 1035-1048
    • Greenspan, H.1    Anderson, C.H.2    Akber, S.3
  • 55
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • Jul./Oct. and 623-656
    • C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J., vol.27, pp. 379-423, Jul./Oct. 1948, and 623-656.
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 57
    • 0018293731 scopus 로고
    • Histogram modification for threshold selection
    • Jan.
    • J. S.Weszka and A. Rosenfeld, "Histogram modification for threshold selection," IEEE Trans. Syst., Man, Cybern., vol.9, no.1, pp. 38-52, Jan. 1979.
    • (1979) IEEE Trans. Syst., Man, Cybern. , vol.9 , Issue.1 , pp. 38-52
    • Weszka, J.1    Rosenfeld, A.2
  • 58
    • 0025953366 scopus 로고
    • Transition region determination based thresholding
    • Y. J. Zhang and J. J. Gerbrands, "Transition region determination based thresholding," Pattern Recognit. Lett., vol.12, no.1, pp. 13-23, 1991.
    • (1991) Pattern Recognit. Lett. , vol.12 , Issue.1 , pp. 13-23
    • Zhang, Y.J.1    Gerbrands, J.J.2
  • 59
    • 38249002740 scopus 로고
    • Related approaches to gradient-based thresholding
    • A. M. Groenewald, E. Barnard, and E. C. Botha, "Related approaches to gradient-based thresholding," Pattern Recognit. Lett., vol.14, no.7, pp. 567-572, 1993.
    • (1993) Pattern Recognit. Lett. , vol.14 , Issue.7 , pp. 567-572
    • Groenewald, A.M.1    Barnard, E.2    Botha, E.C.3
  • 60
    • 0020737631 scopus 로고
    • The Laplacian pyramid as a compact image code
    • P. J. Burt and E. H. Adelson, "The Laplacian pyramid as a compact image code," IEEE Trans. Commun., vol.COM-31, no.4, pp. 532-540, 1983.
    • (1983) IEEE Trans. Commun. , vol.COM-31 , Issue.4 , pp. 532-540
    • Burt, P.J.1    Adelson, E.H.2
  • 61
    • 0036525893 scopus 로고    scopus 로고
    • Multiscale contrast enhancement for radiographies: Laplacian pyramid versus fast wavelet transform
    • Apr.
    • S. Dippel, M. Stahl, R. Wiemker, and T. Blaffert, "Multiscale contrast enhancement for radiographies: Laplacian pyramid versus fast wavelet transform," IEEE Trans. Med. Imag., vol.21, no.4, pp. 343-353, Apr. 2002.
    • (2002) IEEE Trans. Med. Imag. , vol.21 , Issue.4 , pp. 343-353
    • Dippel, S.1    Stahl, M.2    Wiemker, R.3    Blaffert, T.4
  • 62
    • 0029163046 scopus 로고
    • Wavelets for contrast enhancement of digital mammography
    • A. F. Laine, J. Fan, and W. Yang, "Wavelets for contrast enhancement of digital mammography," IEEE Eng. Med. Biol. Soc. Mag., vol.14, no.5, pp. 536-550, 1995.
    • (1995) IEEE Eng. Med. Biol. Soc. Mag. , vol.14 , Issue.5 , pp. 536-550
    • Laine, A.F.1    Fan, J.2    Yang, W.3
  • 63
    • 0038156429 scopus 로고    scopus 로고
    • Gray and color image contrast enhancement by the curvelet transform
    • Jun.
    • J. L. Starck, F. Murtagh, E. Candes, and D. Donoho, "Gray and color image contrast enhancement by the curvelet transform," IEEE Trans. Image Process., vol.12, no.6, pp. 706-717, Jun. 2003.
    • (2003) IEEE Trans. Image Process. , vol.12 , Issue.6 , pp. 706-717
    • Starck, J.L.1    Murtagh, F.2    Candes, E.3    Donoho, D.4
  • 64
    • 28944432472 scopus 로고    scopus 로고
    • The Contourlet transform: An efficient directional multiresolution image representation
    • Dec.
    • M. N. Do and M. Vetterli, "The Contourlet transform: An efficient directional multiresolution image representation," IEEE Trans. Image Process., vol.14, no.12, pp. 2091-2106, Dec. 2005.
    • (2005) IEEE Trans. Image Process. , vol.14 , Issue.12 , pp. 2091-2106
    • Do, M.N.1    Vetterli, M.2


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