메뉴 건너뛰기




Volumn 63, Issue 2, 2002, Pages 593-618

The APEX method in image sharpening and the use of low exponent levy stable laws

Author keywords

APEX method; Astronomical, Landsat, and SEM images; Blind deconvolution; Direct methods; Electronic imaging systems; Heavy tailed distributions; Image deblurring; Low exponent stable laws; MRI and PET brain scans; Nonuniqueness; SECB method

Indexed keywords

ASTRONOMY; MAGNETIC RESONANCE IMAGING; PROBABILITY DENSITY FUNCTION; SCANNING ELECTRON MICROSCOPY;

EID: 0011578794     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139901389318     Document Type: Article
Times cited : (55)

References (44)
  • 2
    • 4444252319 scopus 로고    scopus 로고
    • Lévy processes
    • Cambridge University Press, Cambridge, UK
    • J. BERTOUIN, Lévy Processes, Cambridge Tracts in Math. 121, Cambridge University Press, Cambridge, UK, 1998.
    • (1998) Cambridge Tracts in Math. , vol.121
    • Bertouin, J.1
  • 5
    • 0028741005 scopus 로고
    • Overcoming hölder continuity in ill-posed continuation problems
    • A. S. CARASSO, Overcoming Hölder continuity in ill-posed continuation problems, SIAM J. Numer. Anal., 31 (1994), pp. 1535-1557.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1535-1557
    • Carasso, A.S.1
  • 6
    • 0031531628 scopus 로고    scopus 로고
    • Error bounds in nonsmooth image deblurring
    • A. S. CARASSO, Error bounds in nonsmooth image deblurring, SIAM J. Math. Anal., 28 (1997), pp. 656-668.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 656-668
    • Carasso, A.S.1
  • 7
    • 0000847697 scopus 로고    scopus 로고
    • Linear and nonlinear image deblurring: A documented study
    • A. S. CARASSO, Linear and nonlinear image deblurring: A documented study, SIAM J. Numer. Anal., 36 (1999), pp. 1659-1689.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1659-1689
    • Carasso, A.S.1
  • 8
    • 0033240172 scopus 로고    scopus 로고
    • Logarithmic convexity and the "slow evolution" constraint in ill-posed initial value problems
    • A. S. CARASSO, Logarithmic convexity and the "slow evolution" constraint in ill-posed initial value problems. SIAM J. Math. Anal., 30 (1999), pp. 479-496.
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 479-496
    • Carasso, A.S.1
  • 9
    • 0035704471 scopus 로고    scopus 로고
    • Direct blind deconvolution
    • A. S. CARASSO, Direct blind deconvolution, SIAM J. Appl. Math., 61 (2001), pp. 1980-2007.
    • (2001) SIAM J. Appl. Math. , vol.61 , pp. 1980-2007
    • Carasso, A.S.1
  • 10
    • 0036811058 scopus 로고    scopus 로고
    • The APEX method and real-time blind deconvolution of scanning electron microscope imagery
    • A. S. CARASSO, D. S. BRIGHT, AND A. E. VLADÁR, The APEX method and real-time blind deconvolution of scanning electron microscope imagery, Optical Engineering, 41 (2002), pp. 2499-2514.
    • (2002) Optical Engineering , vol.41 , pp. 2499-2514
    • Carasso, A.S.1    Bright, D.S.2    Vladár, A.E.3
  • 11
    • 85008019126 scopus 로고    scopus 로고
    • Special issue on partial differential equations and geometry-driven diffusion in image processing
    • V. CASELLES, J. M. MOREL, C. SAPIRO, AND A. TANNENBAUM, EDS., Special Issue on Partial Differential Equations and Geometry-Driven Diffusion in Image Processing, IEEE Trans. Image Process., 7 (1998).
    • (1998) IEEE Trans. Image Process. , vol.7
    • Caselles, V.1    Morel, J.M.2    Sapiro, C.3    Tannenbaum, A.4
  • 12
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. CHAMBOLLE AND P. L. LIONS, Image recovery via total variation minimization and related problems, Numer. Math., 76 (1997), pp. 167-188.
    • (1997) Numer. Math. , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.L.2
  • 13
    • 0032028980 scopus 로고    scopus 로고
    • Total variation blind deconvolution
    • T. F. CHAN AND C. K. WONG, Total variation blind deconvolution, IEEE Trans. Image Process., 7 (1998), pp. 370-375.
    • (1998) IEEE Trans. Image Process. , vol.7 , pp. 370-375
    • Chan, T.F.1    Wong, C.K.2
  • 14
    • 0025623131 scopus 로고
    • Electron image tubes and image intensifies
    • L. P. CSORBA, ED., Electron Image Tubes and Image Intensifies, Proc. SPIE 1243, 1990.
    • (1990) Proc. SPIE , vol.1243
    • Csorba, L.P.1
  • 15
    • 0025747862 scopus 로고
    • Electron image tubes and image intensifiers II
    • I. P. CSORBA, ED., Electron Image Tubes and Image Intensifiers II, Proc. SPIE 1449, 1991.
    • (1991) Proc. SPIE , vol.1449
    • Csorba, I.P.1
  • 16
    • 0030212858 scopus 로고    scopus 로고
    • Recovery of blocky images from noisy and blurred data
    • D. C. DOBSON AND F. SANTOSA, Recovery of blocky images from noisy and blurred data, SIAM J. Appl. Math., 56 (1996), pp. 1181-1198.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 1181-1198
    • Dobson, D.C.1    Santosa, F.2
  • 18
    • 0037546604 scopus 로고
    • Applications of electronic imaging systems
    • R. E. FRANSEEN AND D. K. SCHRODER, EDS., Applications of Electronic Imaging Systems, Proc. SPIE 143, 1978.
    • (1978) Proc. SPIE , vol.143
    • Franseen, R.E.1    Schroder, D.K.2
  • 19
    • 0036342277 scopus 로고    scopus 로고
    • Are natural images of bounded variation?
    • Y. GOUSSEAU AND J.-M. MOREL, Are natural images of bounded variation?, SIAM J. Math. Anal., 33 (2001), pp. 634-648.
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 634-648
    • Gousseau, Y.1    Morel, J.-M.2
  • 21
    • 0002317436 scopus 로고
    • Modulation transfer function associated with image transmission through turbulent media
    • R. E. HUFNAGEL AND N. R. STANLEY, Modulation transfer function associated with image transmission through turbulent media, J. Opt. Soc. Amer., 54 (1964), pp. 52-61.
    • (1964) J. Opt. Soc. Amer. , vol.54 , pp. 52-61
    • Hufnagel, R.E.1    Stanley, N.R.2
  • 22
    • 0014882120 scopus 로고
    • A method for characterizing electro-optical device modulation transfer functions
    • C. B. JOHNSON, A method for characterizing electro-optical device modulation transfer functions, Photographic Science and Engineering, 14 (1970), pp. 413-415.
    • (1970) Photographic Science and Engineering , vol.14 , pp. 413-415
    • Johnson, C.B.1
  • 24
    • 0001332903 scopus 로고
    • Classification of electron-optical device modulation transfer function
    • C. B. JOHNSON, Classification of electron-optical device modulation transfer function. Adv. Electronics and Electron Phys., 33B (1972), pp. 579-584.
    • (1972) Adv. Electronics and Electron Phys. , vol.33 B , pp. 579-584
    • Johnson, C.B.1
  • 25
    • 84975594190 scopus 로고
    • Circular aperture diffraction limited MTF: Approximate expressions
    • C. B. JOHNSON, Circular aperture diffraction limited MTF: Approximate expressions, Applied Optics, 11 (1972), pp. 1875-1876.
    • (1972) Applied Optics , vol.11 , pp. 1875-1876
    • Johnson, C.B.1
  • 28
    • 0038560663 scopus 로고
    • A convenient form of graph paper for determination of electro-optical device modulation transfer function parameters
    • C. B. JOHNSON, A convenient form of graph paper for determination of electro-optical device modulation transfer function parameters, IEEE Trans. Electron Devices, 20 (1973), pp. 80-81.
    • (1973) IEEE Trans. Electron Devices , vol.20 , pp. 80-81
    • Johnson, C.B.1
  • 29
    • 0011580213 scopus 로고
    • MTF parameters for all photographic films listed in Kodak pamphlet P-49
    • C. B. JOHNSON, MTF parameters for all photographic films listed in Kodak pamphlet P-49, Applied Optics, 15 (1976), p. 1130.
    • (1976) Applied Optics , vol.15 , pp. 1130
    • Johnson, C.B.1
  • 30
    • 0025858105 scopus 로고
    • High-resolution microchannel plate image tube development
    • C. B. JOHNSON, S. B. PATTON, AND E. BENDER, High-resolution microchannel plate image tube development, in Proc. SPIE 1449, 1991, pp. 2-12.
    • (1991) Proc. SPIE , vol.1449 , pp. 2-12
    • Johnson, C.B.1    Patton, S.B.2    Bender, E.3
  • 31
    • 0038222009 scopus 로고
    • Electron tubes and image intensifiers
    • C. B. JOHNSON AND B. N. LAPRADE, EDS., Electron Tubes and Image Intensifiers, Proc. SPIE 1655, 1992.
    • (1992) Proc. SPIE , vol.1655
    • Johnson, C.B.1    Laprade, B.N.2
  • 32
    • 0034851162 scopus 로고    scopus 로고
    • Rate of convergence to a stable law
    • R. KUSKE AND J. B. KELLER, Rate of convergence to a stable law, SIAM J. Appl. Math., 61 (2000), pp. 1308-1323.
    • (2000) SIAM J. Appl. Math. , vol.61 , pp. 1308-1323
    • Kuske, R.1    Keller, J.B.2
  • 33
    • 0035075370 scopus 로고    scopus 로고
    • Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal
    • A. MARQUINA AND S. OSHER, Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal, SIAM J. Sci. Comput., 22 (2000), pp. 387-405.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 387-405
    • Marquina, A.1    Osher, S.2
  • 34
    • 0142176890 scopus 로고    scopus 로고
    • Local strong homogeneity of a regularized estimator
    • M. NIKOLOVA, Local strong homogeneity of a regularized estimator, SIAM J. Appl. Math., 61 (2003), pp. 633-658.
    • (2003) SIAM J. Appl. Math. , vol.61 , pp. 633-658
    • Nikolova, M.1
  • 35
    • 84967317299 scopus 로고    scopus 로고
    • Image restoration by minimizing objective functions with nonsmooth data-fidelity terms
    • International Conference on Computer Vision (ICCV 2001), Vancouver, IEEE, Piscataway, NJ
    • M. NIKOLOVA, Image restoration by minimizing objective functions with nonsmooth data-fidelity terms, in Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM01), International Conference on Computer Vision (ICCV 2001), Vancouver, IEEE, Piscataway, NJ, 2001
    • (2001) Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM01)
    • Nikolova, M.1
  • 38
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. RUDIN, S. OSHER, AND E. FATEMI, Nonlinear total variation based noise removal algorithms, Phys. D, 60 (1992), pp. 259-268.
    • (1992) Phys. D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 40
    • 0003292166 scopus 로고
    • Lévy flights and related topics in physics
    • Springer-Verlag, New York
    • M. F. SHLESINGER, G. M. ZASLAVSKY, AND U. FRISCH, EDS., Lévy Flights and Related Topics in Physics, Lecture Notes in Phys. 450, Springer-Verlag, New York, 1995.
    • (1995) Lecture Notes in Phys. , vol.450
    • Shlesinger, M.F.1    Zaslavsky, G.M.2    Frisch, U.3
  • 41
    • 4243195484 scopus 로고
    • Statistical-mechanical foundation of the ubiquity of Lévy distributions in nature
    • C. TSALLIS, S. V. LEVY, A. M. SOUZA, AND R. MAYNARD, Statistical-mechanical foundation of the ubiquity of Lévy distributions in nature, Phys. Rev. Lett., 75 (1995), pp. 3589-3593.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 3589-3593
    • Tsallis, C.1    Levy, S.V.2    Souza, A.M.3    Maynard, R.4
  • 42
    • 0018109232 scopus 로고
    • The ground-based electro-optical detection of deep-space satellites
    • R. WEBER. The ground-based electro-optical detection of deep-space satellites, in Proc. SPIE 143, 1978, pp. 59-69.
    • (1978) Proc. SPIE , vol.143 , pp. 59-69
    • Weber, R.1
  • 44
    • 0011699926 scopus 로고    scopus 로고
    • Lévy processes in the physical sciences
    • O. Barndorff-Nielsen, T. Mikosch, and S. Resnick, eds., Birkhäuser Boston, Cambridge, MA
    • W. A. WOYCZYŃSKI, Lévy processes in the physical sciences, in Lévy Processes-Theory and Applications, O. Barndorff-Nielsen, T. Mikosch, and S. Resnick, eds., Birkhäuser Boston, Cambridge, MA, 2001.
    • (2001) Lévy Processes-Theory and Applications
    • Woyczyński, W.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.