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Volumn 18, Issue 1, 2007, Pages 81-99

Signal modeling for two-dimensional image structures

Author keywords

Generalized monogenic curvature signal; Monogenic curvature tensor; Phase; Signal modeling

Indexed keywords

ALGEBRA; COMPUTER SIMULATION; COMPUTER VISION; DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; TENSORS;

EID: 33845743954     PISSN: 10473203     EISSN: 10959076     Source Type: Journal    
DOI: 10.1016/j.jvcir.2006.10.002     Document Type: Article
Times cited : (26)

References (41)
  • 1
    • 33845775827 scopus 로고    scopus 로고
    • W. Förstner, E. Gülch, A fast operator for detection and precise location of distinct points, corners and centers of circular features, in: Proceedings of ISPRS Intercommission Conference on Fast Processing of Photogrammetric Data, Interlaken, Switzerland, 1987, pp. 281-305.
  • 2
    • 0344982880 scopus 로고    scopus 로고
    • U. Köthe, Integrated edge and junction detection with the boundary tensor, in: Proceeding of Nineth International Conference on Computer Vision, vol. 1, 2003, pp. 424-431.
  • 3
    • 0030172642 scopus 로고    scopus 로고
    • Nonlinear image operators for the evaluation of local intrinsic dimensionality
    • Krieger G., and Zetzsche C. Nonlinear image operators for the evaluation of local intrinsic dimensionality. IEEE Transactions on Image Processing 5 6 (1996) 1026-1042
    • (1996) IEEE Transactions on Image Processing , vol.5 , Issue.6 , pp. 1026-1042
    • Krieger, G.1    Zetzsche, C.2
  • 4
    • 27244457805 scopus 로고    scopus 로고
    • Energy tensors: quadratic phase invariant image operators
    • Pattern Recognition 2005, Springer, Berlin
    • Felsberg M., and Jonsson E. Energy tensors: quadratic phase invariant image operators. Pattern Recognition 2005. LNCS vol. 3663 (2005), Springer, Berlin 493-500
    • (2005) LNCS , vol.3663 , pp. 493-500
    • Felsberg, M.1    Jonsson, E.2
  • 5
    • 24644513989 scopus 로고    scopus 로고
    • Get: the connection between monogenic scale-space and gaussian derivatives
    • Scale Space and PDE Methods in Computer Vision. Kimmel R., Sochen N., and Weickert J. (Eds), Springer, Berlin
    • Felsberg M., and Köthe U. Get: the connection between monogenic scale-space and gaussian derivatives. In: Kimmel R., Sochen N., and Weickert J. (Eds). Scale Space and PDE Methods in Computer Vision. LNCS vol. 3459 (2005), Springer, Berlin 192-203
    • (2005) LNCS , vol.3459 , pp. 192-203
    • Felsberg, M.1    Köthe, U.2
  • 6
    • 0019569248 scopus 로고
    • The importance of phase in signals
    • Oppenheim A.V., and Lim J.S. The importance of phase in signals. IEEE Proceedings 69 (1981) 529-541
    • (1981) IEEE Proceedings , vol.69 , pp. 529-541
    • Oppenheim, A.V.1    Lim, J.S.2
  • 7
    • 0000293183 scopus 로고
    • Theory of communication
    • Gabor D. Theory of communication. Journal of the IEE 93 (1946) 429-457
    • (1946) Journal of the IEE , vol.93 , pp. 429-457
    • Gabor, D.1
  • 9
    • 0025193107 scopus 로고
    • Fundamental limits of linear filters in the visual processing of two-dimensional signals
    • Zetzsche C., and Barth E. Fundamental limits of linear filters in the visual processing of two-dimensional signals. Vision Research 30 (1990) 1111-1117
    • (1990) Vision Research , vol.30 , pp. 1111-1117
    • Zetzsche, C.1    Barth, E.2
  • 10
    • 33845749711 scopus 로고    scopus 로고
    • N. Krüger, M. Felsberg, A continuous formulation of intrinsic dimension, in: British Machine Vision Conference, 2003, pp. 260-270.
  • 11
    • 27244457805 scopus 로고    scopus 로고
    • Energy tensors: quadratic phase invariant image operators
    • DAGM 2005, Springer
    • Felsberg M., and Jonsson E. Energy tensors: quadratic phase invariant image operators. DAGM 2005. LNCS vol. 3663 (2005), Springer 493-500
    • (2005) LNCS , vol.3663 , pp. 493-500
    • Felsberg, M.1    Jonsson, E.2
  • 12
    • 24644490898 scopus 로고    scopus 로고
    • Riesz-transforms vs. derivatives: on the relationship between the boundary tensor and the energy tensor
    • Scale Space and PDE Methods in Computer Vision. Kimmel R., Sochen N., and Weickert J. (Eds), Springer, Berlin
    • Köthe U., and Felsberg M. Riesz-transforms vs. derivatives: on the relationship between the boundary tensor and the energy tensor. In: Kimmel R., Sochen N., and Weickert J. (Eds). Scale Space and PDE Methods in Computer Vision. LNCS vol. 3459 (2005), Springer, Berlin 179-191
    • (2005) LNCS , vol.3459 , pp. 179-191
    • Köthe, U.1    Felsberg, M.2
  • 14
    • 0035503560 scopus 로고    scopus 로고
    • Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case
    • Bülow T., and Sommer G. Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case. IEEE Transactions on Signal Processing 49 11 (2001) 2844-2852
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.11 , pp. 2844-2852
    • Bülow, T.1    Sommer, G.2
  • 16
    • 32544460564 scopus 로고    scopus 로고
    • A 3d isotropic quadrature filter for motion estimation problems
    • The International Society for Optical Engineering, Bellingham
    • Krause M., and Sommer G. A 3d isotropic quadrature filter for motion estimation problems. Proceedings of the Visual Communications and Image Processing, Beijing, China vol. 5960 (2005), The International Society for Optical Engineering, Bellingham 1295-1306
    • (2005) Proceedings of the Visual Communications and Image Processing, Beijing, China , vol.5960 , pp. 1295-1306
    • Krause, M.1    Sommer, G.2
  • 17
    • 33845811099 scopus 로고    scopus 로고
    • M. Felsberg, Low-level image processing with the structure multivector, Technical Report No. 2016, Christian-Albrechts-Universität zu Kiel, Institut für Informatik und Praktische Mathematik (2002).
  • 18
    • 0023141705 scopus 로고
    • Representation of local geometry in the visual system
    • Koenderink J.J., and van Doorn A.J. Representation of local geometry in the visual system. Biological Cybernetics 55 (1987) 367-375
    • (1987) Biological Cybernetics , vol.55 , pp. 367-375
    • Koenderink, J.J.1    van Doorn, A.J.2
  • 21
    • 33845793029 scopus 로고    scopus 로고
    • L. Florack, Image Structure, vol. 10 of Computational Imaging and Vision, Kluwer Academic Publishers, Dordrecht, 1997.
  • 25
    • 3042516351 scopus 로고    scopus 로고
    • Geometric computing with Clifford algebras
    • Sommer G. (Ed), Springer-Verlag, Berlin, Heidelberg
    • Hestenes D., Li H., and Rockwood A. Geometric computing with Clifford algebras. In: Sommer G. (Ed). New Algebraic Tools for Classical Geometry (2001), Springer-Verlag, Berlin, Heidelberg 3-23
    • (2001) New Algebraic Tools for Classical Geometry , pp. 3-23
    • Hestenes, D.1    Li, H.2    Rockwood, A.3
  • 26
    • 33845791616 scopus 로고    scopus 로고
    • G. Sommer, D. Zang, Parity symmetry in multi-dimensional signals, in: Proceedings of the Fourth International Conference on Wavelet Analysis and Its Applications, Macao, 2005.
  • 27
    • 3543071716 scopus 로고    scopus 로고
    • The monogenic scale-space: a unifying approach to phase-based image processing in scale-space
    • Felsberg M., and Sommer G. The monogenic scale-space: a unifying approach to phase-based image processing in scale-space. Journal of Mathematical Imaging and Vision 21 (2004) 5-26
    • (2004) Journal of Mathematical Imaging and Vision , vol.21 , pp. 5-26
    • Felsberg, M.1    Sommer, G.2
  • 30
    • 25144441277 scopus 로고    scopus 로고
    • Hybrid matrix geometric algebra
    • Computer Algebra and Geometric Algebra with Applications. Li H., Olver P.J., and Sommer G. (Eds), Springer-Verlag, Berlin, Heidelberg
    • Sobczyk G., and Erlebacher G. Hybrid matrix geometric algebra. In: Li H., Olver P.J., and Sommer G. (Eds). Computer Algebra and Geometric Algebra with Applications. LNCS vol. 3519 (2005), Springer-Verlag, Berlin, Heidelberg 191-206
    • (2005) LNCS , vol.3519 , pp. 191-206
    • Sobczyk, G.1    Erlebacher, G.2
  • 34
    • 0025657228 scopus 로고    scopus 로고
    • C. Zetzsche, E. Barth, Image surface predicates and the neural encoding of two-dimensional signal variation, in: B. Rogowitz (Ed.), Proceedings of the SPIE Human Vision and Electronic Imaging: Models, Methods and Applications, vol. 1249, 1990, pp. 160-177.
  • 35
    • 33845740795 scopus 로고    scopus 로고
    • F. Brackx, B.D. Knock, H.D. Schepper, Generalized multi-dimensional Hilbert transforms involving spherical monogenics in the framework of Clifford analysis, in: Extended abstracts of the ICNAAM 2005 Conference, Rhodos, Greece, 2005.
  • 36
    • 33749540111 scopus 로고    scopus 로고
    • F. Brackx, B.D. Knock, H.D. Schepper, Generalized multi-dimensional Hilbert transforms in clifford analysis, International Journal of Mathematics and Mathematical Sciences (2006), doi:10.1155/IJMMS/2006/98145.
  • 37
    • 33845793028 scopus 로고    scopus 로고
    • T. Bülow, Hypercomplex spectral signal representations for the processing and analysis of images, Technical Report No. 9903, Christian-Albrechts-Universität zu Kiel, Institut für Informatik und Praktische Mathematik (1999).
  • 38
    • 3142718280 scopus 로고    scopus 로고
    • A commutative hypercomplex algebra with associated function theory
    • Ablamowicz R., Lounesto P., and Parra J.M. (Eds), Birkhauser Boston Inc., Cambridge, MA, USA
    • Davenport C.M. A commutative hypercomplex algebra with associated function theory. In: Ablamowicz R., Lounesto P., and Parra J.M. (Eds). Clifford Algebras With Numeric And Symbolic Computations (1996), Birkhauser Boston Inc., Cambridge, MA, USA 213-227
    • (1996) Clifford Algebras With Numeric And Symbolic Computations , pp. 213-227
    • Davenport, C.M.1
  • 39
    • 22944487903 scopus 로고    scopus 로고
    • Commutative hypercomplex Fourier transforms of multidimensional signals
    • Sommer G. (Ed), Springer-Verlag, Berlin, Heidelberg
    • Felsberg M., Bülow T., and Sommer G. Commutative hypercomplex Fourier transforms of multidimensional signals. In: Sommer G. (Ed). Geometric Computing with Clifford Algebra (2001), Springer-Verlag, Berlin, Heidelberg 209-229
    • (2001) Geometric Computing with Clifford Algebra , pp. 209-229
    • Felsberg, M.1    Bülow, T.2    Sommer, G.3
  • 40
    • 0025592601 scopus 로고    scopus 로고
    • H.D. Schütte, J. Wenzel, Hypercomplex numbers in digital signal processing, in: Proceedings of the IEEE International Symposium on Circuits Systems, vol. 2 (1990), pp. 1557-1560.
  • 41
    • 3142691998 scopus 로고    scopus 로고
    • Commutative reduced biquaternions and their Fourier transform for signal and image processing applications
    • Pei S.C., Chang J.H., and Ding J.J. Commutative reduced biquaternions and their Fourier transform for signal and image processing applications. IEEE Transactions on Signal Processing 52 7 (2004) 2012-2031
    • (2004) IEEE Transactions on Signal Processing , vol.52 , Issue.7 , pp. 2012-2031
    • Pei, S.C.1    Chang, J.H.2    Ding, J.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.