메뉴 건너뛰기




Volumn 61, Issue 2, 2000, Pages 596-632

Spatiotemporal wavelets: A group-theoretic construction for motion estimation and tracking

Author keywords

Continuous wavelet transform; Digital image sequence; Motion estimation; Motion based reconstruction; Target detection; Tracking; Velocity filtering

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DYNAMIC PROGRAMMING; FAST FOURIER TRANSFORMS; JITTER; KALMAN FILTERING; LAGRANGE MULTIPLIERS; MOTION ESTIMATION; SPURIOUS SIGNAL NOISE; TRACKING (POSITION); WAVELET TRANSFORMS;

EID: 0343807194     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139999351864     Document Type: Article
Times cited : (9)

References (43)
  • 2
    • 0000397236 scopus 로고
    • Coherent States and Their Generalizations: A Mathematical Overview
    • S. T. ALI, J.-P. ANTOINE, J.-P. GAZEAU, AND U. A. MUELLER, Coherent States and Their Generalizations: A Mathematical Overview, Rev. Math. Phys., 7 (1995), pp. 1013-1065.
    • (1995) Rev. Math. Phys. , vol.7 , pp. 1013-1065
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3    Mueller, U.A.4
  • 4
    • 0021786682 scopus 로고
    • Dynamic Programming Solution for Detecting Dim Moving Targets
    • Y. BARNIV, Dynamic Programming Solution for Detecting Dim Moving Targets, IEEE Trans. Aerospace Electron. Systems, 21 (1985), pp. 144-156.
    • (1985) IEEE Trans. Aerospace Electron. Systems , vol.21 , pp. 144-156
    • Barniv, Y.1
  • 9
    • 0001142946 scopus 로고
    • Intermediate spaces and interpolation, the complex method
    • A.-P. CALDERÓN, Intermediate spaces and interpolation, the complex method, Studia Math., 24 (1964), pp. 113-190.
    • (1964) Studia Math. , vol.24 , pp. 113-190
    • Calderón, A.-P.1
  • 11
    • 0032653694 scopus 로고    scopus 로고
    • Analysis of deformational transformations with spatio-temporal continuous wavelet transforms
    • Phoenix, AZ
    • J. CORBETT, J.-P. LEDUC, AND M. KONG, Analysis of deformational transformations with spatio-temporal continuous wavelet transforms, in Proceedings of IEEE-ICASSP, Phoenix, AZ, 1999, p. 4.
    • (1999) Proceedings of IEEE-ICASSP , pp. 4
    • Corbett, J.1    Leduc, J.-P.2    Kong, M.3
  • 15
    • 0000678445 scopus 로고
    • Spatio-temporal wavelets: Applications to the analysis of moving patterns
    • Y. Meyer and S. Roques, eds., Editions Frontières, Gif-sur-Yvette, France
    • M. DUVAL-DESTIN AND R. MURENZI, Spatio-temporal wavelets: Applications to the analysis of moving patterns, in Progress in Wavelet Analysis and Applications, Y. Meyer and S. Roques, eds., Editions Frontières, Gif-sur-Yvette, France, 1993, pp. 399-408.
    • (1993) Progress in Wavelet Analysis and Applications , pp. 399-408
    • Duval-Destin, M.1    Murenzi, R.2
  • 16
    • 0039768601 scopus 로고    scopus 로고
    • The uncertainty principle: A mathematical survey
    • G. B. FOLLAND AND A. SITIRAM, The uncertainty principle: A mathematical survey, J. Fourier Anal. Appl., 3 (1997), pp. 207-238.
    • (1997) J. Fourier Anal. Appl. , vol.3 , pp. 207-238
    • Folland, G.B.1    Sitiram, A.2
  • 18
    • 0024903928 scopus 로고    scopus 로고
    • Continuous and discrete wavelet transforms
    • C. E. HEIL AND D. F. WALNUT, Continuous and discrete wavelet transforms, SIAM Rev., 31 (1996), pp. 628-666.
    • (1996) SIAM Rev. , vol.31 , pp. 628-666
    • Heil, C.E.1    Walnut, D.F.2
  • 19
    • 0002539494 scopus 로고
    • Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
    • M. HENNEAUX, Equations of motion, commutation relations and ambiguities in the Lagrangian formalism, Ann. Phys., 140 (1982), pp. 45-64.
    • (1982) Ann. Phys. , vol.140 , pp. 45-64
    • Henneaux, M.1
  • 20
    • 0343102566 scopus 로고
    • On the inverse problem of the calculus of variations
    • M. HENNEAUX, On the inverse problem of the calculus of variations, J. Phys. A, 15 (1982), pp. 93-96.
    • (1982) J. Phys. A , vol.15 , pp. 93-96
    • Henneaux, M.1
  • 24
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • R. E. KALMAN, A new approach to linear filtering and prediction problems, Trans. ASME J. Basic Engrg., 82 (1960), pp. 34-45.
    • (1960) Trans. ASME J. Basic Engrg. , vol.82 , pp. 34-45
    • Kalman, R.E.1
  • 26
    • 0002615275 scopus 로고    scopus 로고
    • Wavelet based analysis of rotational motion in digital image sequences
    • M. KONG, J.-P. LEDUC, B. K. GHOSH, J. CORBETT, V. M. WICKERHAUSER, Wavelet based analysis of rotational motion in digital image sequences, IEEE ICASSP, 5 (1998), pp. 2781-2784.
    • (1998) IEEE ICASSP , vol.5 , pp. 2781-2784
    • Kong, M.1    Leduc, J.-P.2    Ghosh, B.K.3    Corbett, J.4    Wickerhauser, V.M.5
  • 27
    • 0026923444 scopus 로고
    • Bayesian estimation of motion vector fields
    • J. KONRAD AND E. DUBOIS, Bayesian estimation of motion vector fields, PAMI, 14 (1992), pp. 910-927.
    • (1992) PAMI , vol.14 , pp. 910-927
    • Konrad, J.1    Dubois, E.2
  • 28
    • 0031191019 scopus 로고    scopus 로고
    • Spatio-Temporal Wavelet Transforms for Digital Signal Analysis
    • Elsevier, New York
    • J.-P. LEDUC, Spatio-Temporal Wavelet Transforms for Digital Signal Analysis, Signal Process. 60, Elsevier, New York, 1997, pp. 23-41.
    • (1997) Signal Process , vol.60 , pp. 23-41
    • Leduc, J.-P.1
  • 29
    • 0030683414 scopus 로고    scopus 로고
    • Spatio-temporal wavelet transforms for motion tracking
    • J.-P. LEDUC, F. MUJICA, R. MURENZI, AND M. J. T. SMITH, Spatio-temporal wavelet transforms for motion tracking, ICASSP, 4 (1997), pp. 3013-3016.
    • (1997) ICASSP , vol.4 , pp. 3013-3016
    • Leduc, J.-P.1    Mujica, F.2    Murenzi, R.3    Smith, M.J.T.4
  • 30
    • 0031636204 scopus 로고    scopus 로고
    • Accelerated spatio-temporal wavelet transforms: An iterative trajectory estimation
    • J.-P. LEDUC, J. CORBETT, M. KONG, V. M. WICKERHAUSER, AND B. K. GHOSH, Accelerated spatio-temporal wavelet transforms: An iterative trajectory estimation, ICASSP, 5 (1998), pp. 2777-2780.
    • (1998) ICASSP , vol.5 , pp. 2777-2780
    • Leduc, J.-P.1    Corbett, J.2    Kong, M.3    Wickerhauser, V.M.4    Ghosh, B.K.5
  • 32
    • 0000026988 scopus 로고
    • Galilei group and Galilean invariance
    • E. M. Loebl, Ed., Academic Press, New York
    • J.-M. LÉVY-LEBLOND, Galilei group and Galilean invariance, in Group Theory and its Applications, vol. II, E. M. Loebl, Ed., Academic Press, New York, 1971, pp. 221-296.
    • (1971) Group Theory and Its Applications , vol.2 , pp. 221-296
    • Lévy-Leblond, J.-M.1
  • 33
    • 0027574128 scopus 로고
    • New fast algorithms for the estimation of block motion vectors
    • B. LIU AND A. ZACCARIN, New fast algorithms for the estimation of block motion vectors, IEEE Trans. Circuits Systems Video Technology, 3 (1993), pp. 148-157.
    • (1993) IEEE Trans. Circuits Systems Video Technology , vol.3 , pp. 148-157
    • Liu, B.1    Zaccarin, A.2
  • 34
    • 0024104129 scopus 로고
    • Recognition and velocity computation of large moving objects in images
    • S. A. MAHMOUD, M. S. AFIFI, AND R. J. GREEN, Recognition and velocity computation of large moving objects in images, IEEE ICASSP, 36 (1988), pp. 1790-1791.
    • (1988) IEEE ICASSP , vol.36 , pp. 1790-1791
    • Mahmoud, S.A.1    Afifi, M.S.2    Green, R.J.3
  • 36
    • 0019612776 scopus 로고
    • Computer tracking of moving point targets in space
    • N. C. MOHANTY, Computer tracking of moving point targets in space, IEEE PAMI, 3 (1981), pp. 606-611.
    • (1981) IEEE PAMI , vol.3 , pp. 606-611
    • Mohanty, N.C.1
  • 37
    • 0343974305 scopus 로고    scopus 로고
    • Spatio-Temporal Continuous Wavelets Applied to Missile Warhead Detection and Tracking
    • J. Biemond and E. J. Delp, eds., Bellingham, WA
    • F. MUJICA, J.-P. LEDUC, R. MURENZI, AND M. J. T. SMITH, Spatio-Temporal Continuous Wavelets Applied to Missile Warhead Detection and Tracking, SPIE-VCIP 3024, J. Biemond and E. J. Delp, eds., Bellingham, WA, 1997, pp. 787-798.
    • (1997) SPIE-VCIP 3024 , pp. 787-798
    • Mujica, F.1    Leduc, J.-P.2    Murenzi, R.3    Smith, M.J.T.4
  • 38
    • 0033749198 scopus 로고    scopus 로고
    • A new parameter estimation algorithm based on the continuous wavelet transform
    • F. MUJICA, J.-P. LEDUC, R. MURENZI, AND M. SMITH, A new parameter estimation algorithm based on the continuous wavelet transform, IEEE Trans. Image Process., 9 (2000), pp. 873-888.
    • (2000) IEEE Trans. Image Process. , vol.9 , pp. 873-888
    • Mujica, F.1    Leduc, J.-P.2    Murenzi, R.3    Smith, M.4
  • 39
    • 0028424962 scopus 로고
    • Motion tracking with an active camera
    • D. MURRAY AND A. BASU, Motion tracking with an active camera, IEEE PAMI, 16 (1994), pp. 449-459.
    • (1994) IEEE PAMI , vol.16 , pp. 449-459
    • Murray, D.1    Basu, A.2
  • 40
    • 0025416741 scopus 로고
    • A frequency domain algorithm for multiframe detection and estimation of Dim targets
    • B. PORAT AND B. FRIEDLANDER, A frequency domain algorithm for multiframe detection and estimation of Dim targets, IEEE PAMI, 12 (1990), pp. 398-401.
    • (1990) IEEE PAMI , vol.12 , pp. 398-401
    • Porat, B.1    Friedlander, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.