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Volumn 9, Issue 2, 1998, Pages 103-139

Linear Scale-Space Theory from Physical Principles

Author keywords

Difference equations; Diffusion equation; Exchange of energy; Linear scale space; Master equations; Similarity

Indexed keywords

COMPUTER VISION; GREEN'S FUNCTION; IMAGE ANALYSIS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; DIFFERENCE EQUATIONS; IMAGE PROCESSING; RANDOM PROCESSES;

EID: 0032155815     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008300826001     Document Type: Article
Times cited : (18)

References (57)
  • 1
    • 84974253506 scopus 로고
    • Formalisation and computational aspect of image analysis
    • L. Alvarez and J. M. Morel, "Formalisation and computational aspect of image analysis," Acta Numerica, pp. 1-63, 1994.
    • (1994) Acta Numerica , pp. 1-63
    • Alvarez, L.1    Morel, J.M.2
  • 4
    • 0004038281 scopus 로고
    • PhD thesis, Carnegie-Mellon University, Robotics Institute, Pittsburgh, Pennsylvania
    • J. L. Crowley, A Representation for Visual Information, PhD thesis, Carnegie-Mellon University, Robotics Institute, Pittsburgh, Pennsylvania, 1981.
    • (1981) A Representation for Visual Information
    • Crowley, J.L.1
  • 6
    • 0347254152 scopus 로고
    • A differential geometric approach to anisotropic diffusion
    • Kluwer Academic Publishers: Dordrecht
    • D. Eberly, "A differential geometric approach to anisotropic diffusion," In Geometry-Driven Diffusion in Computer Vision, Kluwer Academic Publishers: Dordrecht, 1994, pp. 371-392.
    • (1994) Geometry-Driven Diffusion in Computer Vision , pp. 371-392
    • Eberly, D.1
  • 7
    • 0003746615 scopus 로고
    • PhD thesis, University of North Carolina, Department of Computer Vision, Chapel Hill, North Carolina
    • D. Eberly, Geometric Analysis of Ridges in N-Dimensional Images, PhD thesis, University of North Carolina, Department of Computer Vision, Chapel Hill, North Carolina, 1994.
    • (1994) Geometric Analysis of Ridges in N-Dimensional Images
    • Eberly, D.1
  • 8
    • 0003419993 scopus 로고
    • North-Holland Publishing Company and Wolters-Noordhoff Publishing: Amsterdam
    • S. D. Eidel'Man, Parabolic Systems, North-Holland Publishing Company and Wolters-Noordhoff Publishing: Amsterdam, 1962.
    • (1962) Parabolic Systems
    • Eidel'Man, S.D.1
  • 9
    • 0003832892 scopus 로고
    • PhD thesis, Utrecht University, Department of Medicine, Utrecht, the Netherlands
    • L. M. J. Florack, The Syntactical Structure of Scalar Images, PhD thesis, Utrecht University, Department of Medicine, Utrecht, the Netherlands, 1993.
    • (1993) The Syntactical Structure of Scalar Images
    • Florack, L.M.J.1
  • 12
    • 0000300431 scopus 로고
    • Mathematical morphology: A geometrical approach in image processing
    • H. J. A. M. Heijmans, "Mathematical morphology: a geometrical approach in image processing," Nieuw Archief voor Wiskunde, Vol. 10, pp. 237-276, 1992.
    • (1992) Nieuw Archief voor Wiskunde , vol.10 , pp. 237-276
    • Heijmans, H.J.A.M.1
  • 13
    • 0003240988 scopus 로고
    • The scale-space formulation of pyramid data structures
    • Academic Press: New York
    • R. A. Hummel, "The scale-space formulation of pyramid data structures," In Parallel Computer Vision, Academic Press: New York, 1987, pp. 187-123.
    • (1987) Parallel Computer Vision , pp. 187-1123
    • Hummel, R.A.1
  • 14
    • 0001223708 scopus 로고
    • Basic theory on the normalisation of a pattern
    • T. Iijima, "Basic theory on the normalisation of a pattern," Bulletin of Electrical Laboratory, Vol. 26, pp. 368-388, 1962.
    • (1962) Bulletin of Electrical Laboratory , vol.26 , pp. 368-388
    • Iijima, T.1
  • 16
    • 0028338187 scopus 로고
    • On the classification of top-points in scale-space
    • P. Johansen, "On the classification of top-points in scale-space," Journal of Mathematical Imaging and Vision, Vol. 4, pp. 57-68, 1994.
    • (1994) Journal of Mathematical Imaging and Vision , vol.4 , pp. 57-68
    • Johansen, P.1
  • 21
    • 0021136434 scopus 로고
    • The structure of images
    • J. J. Koenderink, "The structure of images," Biol. Cybern., Vol. 50, pp. 363-370, 1984.
    • (1984) Biol. Cybern. , vol.50 , pp. 363-370
    • Koenderink, J.J.1
  • 22
    • 0001049322 scopus 로고
    • Scale-time
    • J. J. Koenderink, "Scale-time," Biol. Cybern., Vol. 58, pp. 159-162, 1988.
    • (1988) Biol. Cybern. , vol.58 , pp. 159-162
    • Koenderink, J.J.1
  • 23
    • 0019668918 scopus 로고
    • A description of the structure of visual images in terms of an ordered hierarchy of light and dark blobs
    • IEEE Cat. No. 81 CH 1676-6
    • J. J. Koenderink and A. J. van Doom, "A description of the structure of visual images in terms of an ordered hierarchy of light and dark blobs," In Second Int. Visual Psychophysics and Medical Imaging Conf., IEEE Cat. No. 81 CH 1676-6, 1981.
    • (1981) Second Int. Visual Psychophysics and Medical Imaging Conf.
    • Koenderink, J.J.1    Van Doom, A.J.2
  • 24
    • 0023141705 scopus 로고
    • Representation of local geometry in the visual system
    • J. J. Koenderink and A. J. van Doom, "Representation of local geometry in the visual system," Biol. Cybern., Vol. 55, pp. 367-375, 1987.
    • (1987) Biol. Cybern. , vol.55 , pp. 367-375
    • Koenderink, J.J.1    Van Doom, A.J.2
  • 26
    • 0025446801 scopus 로고
    • A multiresolution hierarchical approach to image segmentation based on intensity extrema
    • L. M. Lifshitz and S. M. Pizer, "A multiresolution hierarchical approach to image segmentation based on intensity extrema," IEEE Trans. Pattern Analysis and Machine Intelli-gence, Vol. 12, pp. 529-541, 1990.
    • (1990) IEEE Trans. Pattern Analysis and Machine Intelli-gence , vol.12 , pp. 529-541
    • Lifshitz, L.M.1    Pizer, S.M.2
  • 27
    • 0000609313 scopus 로고
    • On scale selection for differential operators
    • Trömso, Norway
    • T. Lindeberg, "On scale selection for differential operators," In Proc. 8th Scandinavian Conf. Image Analysis, Trömso, Norway, 1993, pp. 857-866.
    • (1993) Proc. 8th Scandinavian Conf. Image Analysis , pp. 857-866
    • Lindeberg, T.1
  • 29
    • 0003557420 scopus 로고
    • The Kluwer International Series in Engineering and Computer Science, Kluwer Academic Publishers, Dordrecht, the Netherlands
    • T. Lindeberg, Scale-Space Theory in Computer Vision, The Kluwer International Series in Engineering and Computer Science, Kluwer Academic Publishers, Dordrecht, the Netherlands, 1994.
    • (1994) Scale-Space Theory in Computer Vision
    • Lindeberg, T.1
  • 30
    • 0344495197 scopus 로고    scopus 로고
    • On the Axiomatic Foundations of Linear Scale-Space
    • Computational Imaging and Vision, Kluwer Academic Publishers: Dordrecht, the Netherlands
    • T. Lindeberg, "On the Axiomatic Foundations of Linear Scale-Space," In Gaussian Scale-Space Theory, Computational Imaging and Vision, Kluwer Academic Publishers: Dordrecht, the Netherlands, 1996.
    • (1996) Gaussian Scale-Space Theory
    • Lindeberg, T.1
  • 34
    • 2542570114 scopus 로고
    • Foveal scale-space and linear increase of receptive field size as a function of eccentricity
    • Dept. of Numerical Analysis and Computing Science, Royal Institute of Technology
    • T. Lindeberg and L. M. J. Florack, "Foveal scale-space and linear increase of receptive field size as a function of eccentricity," Technical Report ISRN KTH/NA/P-94/27-SE, Dept. of Numerical Analysis and Computing Science, Royal Institute of Technology, 1994.
    • (1994) Technical Report ISRN KTH/NA/P-94/27-SE
    • Lindeberg, T.1    Florack, L.M.J.2
  • 35
    • 84937434422 scopus 로고    scopus 로고
    • Scale-space generators and functionals
    • Computational Imaging and Vision, Kluwer Academic Publishers: Dordrecht, the Netherlands
    • M. Nielsen, "Scale-space generators and functionals," In Gaussian Scale-Space Theory, Computational Imaging and Vision, Kluwer Academic Publishers: Dordrecht, the Netherlands, 1996.
    • (1996) Gaussian Scale-Space Theory
    • Nielsen, M.1
  • 37
    • 0003345224 scopus 로고
    • Applications of Lie Groups to Differential Equations
    • Springer-Verlag: Berlin
    • P.J. Olver, Applications of Lie Groups to Differential Equations, Vol. 107 of Graduate Texts in Mathematics, Springer-Verlag: Berlin, 1986.
    • (1986) Graduate Texts in Mathematics , vol.107
    • Olver, P.J.1
  • 40
    • 0015865402 scopus 로고
    • Considerations on models of movements detection
    • G. F. Poggio and W. Reichardt, "Considerations on models of movements detection," Kybernetik, Vol. 13, pp. 223-227, 1973.
    • (1973) Kybernetik , vol.13 , pp. 223-227
    • Poggio, G.F.1    Reichardt, W.2
  • 43
    • 0003397364 scopus 로고    scopus 로고
    • PhD thesis, Utrecht University, Department of Medicine, Utrecht, the Netherlands
    • A. H. Salden, Dynamic Scale-Space Paradigms, PhD thesis, Utrecht University, Department of Medicine, Utrecht, the Netherlands, 1996.
    • (1996) Dynamic Scale-Space Paradigms
    • Salden, A.H.1
  • 44
    • 0006584241 scopus 로고    scopus 로고
    • Invariant theory
    • Computational Imaging and Vision, Kluwer Academic Publishers: Dordrecht, the Netherlands
    • A. H. Salden, "Invariant theory," In Gaussian Scale-Space Theory, Computational Imaging and Vision, Kluwer Academic Publishers: Dordrecht, the Netherlands, 1996.
    • (1996) Gaussian Scale-Space Theory
    • Salden, A.H.1
  • 50
    • 0006563037 scopus 로고
    • Two ways to incorporate scale in the Heisenberg group with an intertwining operator
    • J. Segman and W. Schempp, "Two ways to incorporate scale in the Heisenberg group with an intertwining operator," Journal of Mathematical Imaging and Vision, Vol. 3, pp. 79-94, 1993.
    • (1993) Journal of Mathematical Imaging and Vision , vol.3 , pp. 79-94
    • Segman, J.1    Schempp, W.2
  • 51
    • 0003006486 scopus 로고
    • Image analysis by wavelet-type transforms: Group theoretic approach
    • J. Segman and Y. Y. Zeevi, "Image analysis by wavelet-type transforms: Group theoretic approach," Journal of Mathematical Imaging and Vision, Vol. 3, pp. 51-77, 1993.
    • (1993) Journal of Mathematical Imaging and Vision , vol.3 , pp. 51-77
    • Segman, J.1    Zeevi, Y.Y.2
  • 53
    • 0009983045 scopus 로고
    • Publish or Perish, Inc.: Berkeley, California, USA
    • M. Spivak, Differential Geometry, Vol. 1-5, Publish or Perish, Inc.: Berkeley, California, USA, 1975.
    • (1975) Differential Geometry , vol.1-5
    • Spivak, M.1
  • 56
    • 0001943391 scopus 로고    scopus 로고
    • On the History of Gaussian Scale-Space Axiomatics
    • Kluwer Academic Publishers: Dordrecht
    • J. Weickert, S. Ishikawa and A. Imiya, "On the History of Gaussian Scale-Space Axiomatics," In Gaussian Scale-Space Theory, Kluwer Academic Publishers: Dordrecht, 1996, pp. 45-59.
    • (1996) Gaussian Scale-Space Theory , pp. 45-59
    • Weickert, J.1    Ishikawa, S.2    Imiya, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.