메뉴 건너뛰기




Volumn 55, Issue 7 II, 2007, Pages 3670-3686

Sampling schemes for multidimensional signals with finite rate of innovation

Author keywords

Annihilating filter method (Prony's method); Complex moments; Computed tomography; Directional derivatives; Lattice theory; Multidimensional sampling; Polynomial reproduction; Radon transform; Resolution enhancement; Signals with finite rate of innovation (FRI)

Indexed keywords

ALGORITHMS; COMPUTERIZED TOMOGRAPHY; DEGREES OF FREEDOM (MECHANICS); PHOTOGRAMMETRY; POLYNOMIALS; SAMPLING;

EID: 34347397791     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.894259     Document Type: Article
Times cited : (68)

References (36)
  • 1
    • 33749605145 scopus 로고    scopus 로고
    • P. Shukla and P. L. Dragotti, Sampling schemes for 2-D signals with finite rate of innovation using kernels that reproduce polynomials, in Proc. IEEE Int. Conf. Image Process., Genova, Italy, Sep. 2005, pp. II-454-457.
    • P. Shukla and P. L. Dragotti, "Sampling schemes for 2-D signals with finite rate of innovation using kernels that reproduce polynomials," in Proc. IEEE Int. Conf. Image Process., Genova, Italy, Sep. 2005, pp. II-454-457.
  • 2
    • 34347395070 scopus 로고    scopus 로고
    • Tomographic approach for sampling multidimensional signals with finite rate of innovation
    • Atlanta, GA, Oct
    • P. Shukla and P. L. Dragotti, "Tomographic approach for sampling multidimensional signals with finite rate of innovation," in Proc. IEEE Int. Conf. Image Process., Atlanta, GA, Oct. 2006, pp. 2685-2688.
    • (2006) Proc. IEEE Int. Conf. Image Process , pp. 2685-2688
    • Shukla, P.1    Dragotti, P.L.2
  • 3
    • 0036612082 scopus 로고    scopus 로고
    • Sampling signals with finite rate of innovation
    • Jun
    • M. Vetterli, P. Marziliano, and T. Blu, "Sampling signals with finite rate of innovation," IEEE Trans. Signal Process., vol. 50, no. 6, pp. 1417-1428, Jun. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.6 , pp. 1417-1428
    • Vetterli, M.1    Marziliano, P.2    Blu, T.3
  • 4
    • 34247887411 scopus 로고    scopus 로고
    • Sampling moments and reconstructing signals with finite rate of innovation: Shannon meets Strang-Fix
    • May
    • P. L. Dragotti, M. Vetterli, and T. Blu, "Sampling moments and reconstructing signals with finite rate of innovation: Shannon meets Strang-Fix," IEEE Trans. Signal Process., vol. 55, no. 5, pp. 1741-1757, May 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.5 , pp. 1741-1757
    • Dragotti, P.L.1    Vetterli, M.2    Blu, T.3
  • 5
    • 34347369453 scopus 로고    scopus 로고
    • Distributed acquisition and image super-resolution based on continuous moments from samples
    • Atlanta, GA, Oct
    • L. Baboulaz and P. L. Dragotti, "Distributed acquisition and image super-resolution based on continuous moments from samples," in Proc. IEEE Int. Conf Image Process., Atlanta, GA, Oct. 2006, pp. 3309-3312.
    • (2006) Proc. IEEE Int. Conf Image Process , pp. 3309-3312
    • Baboulaz, L.1    Dragotti, P.L.2
  • 6
    • 65749115562 scopus 로고    scopus 로고
    • Distributed sampling and compression of scenes with finite rate of innovation in camera sensor networks
    • Snowbird, UT, Mar
    • N. Gehrig and P. L. Dragotti, "Distributed sampling and compression of scenes with finite rate of innovation in camera sensor networks," in Proc. Data Commun. Conf., Snowbird, UT, Mar. 2006, pp. 83-92.
    • (2006) Proc. Data Commun. Conf , pp. 83-92
    • Gehrig, N.1    Dragotti, P.L.2
  • 7
    • 0017558676 scopus 로고
    • The Shannon sampling theorem-Its various extensions and applications: A tutorial review
    • Nov
    • A. J. Jerry, "The Shannon sampling theorem-Its various extensions and applications: A tutorial review," Proc. IEEE, vol. 65, no. 11, pp. 1565-1596, Nov. 1977.
    • (1977) Proc. IEEE , vol.65 , Issue.11 , pp. 1565-1596
    • Jerry, A.J.1
  • 8
    • 0034171723 scopus 로고    scopus 로고
    • Sampling-50 years after Shannon
    • Apr
    • M. Unser, "Sampling-50 years after Shannon," Proc. IEEE, vol. 88, no. 4, pp. 569-587, Apr. 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.4 , pp. 569-587
    • Unser, M.1
  • 9
    • 0028546247 scopus 로고
    • A general sampling theory for nonideal acquisition devices
    • Nov
    • M. Unser and A. Aldroubi, "A general sampling theory for nonideal acquisition devices," IEEE Trans. Signal Process., vol. 42, no. 11, pp. 2915-2925, Nov. 1994.
    • (1994) IEEE Trans. Signal Process , vol.42 , Issue.11 , pp. 2915-2925
    • Unser, M.1    Aldroubi, A.2
  • 10
    • 0347603374 scopus 로고    scopus 로고
    • Exact sampling results for some classes of parametric nonbandlimited 2-D signals
    • Jan
    • I. Maravić and M. Vetterli, "Exact sampling results for some classes of parametric nonbandlimited 2-D signals," IEEE Trans. Signal Process., vol. 52, no. 1, pp. 175-189, Jan. 2004.
    • (2004) IEEE Trans. Signal Process , vol.52 , Issue.1 , pp. 175-189
    • Maravić, I.1    Vetterli, M.2
  • 12
    • 33646771402 scopus 로고    scopus 로고
    • Exact sampling results for signals with finite rate of innovation using Strang-Fix conditions and local kernels
    • Philadelphia, PA, Mar
    • P. L. Dragotti, M. Vetterli, and T. Blu, "Exact sampling results for signals with finite rate of innovation using Strang-Fix conditions and local kernels," in Proc. IEEE Int. Conf Acoust., Speech Signal Process., Philadelphia, PA, Mar. 2005, pp. 233-236.
    • (2005) Proc. IEEE Int. Conf Acoust., Speech Signal Process , pp. 233-236
    • Dragotti, P.L.1    Vetterli, M.2    Blu, T.3
  • 13
    • 0002999362 scopus 로고    scopus 로고
    • Splines - A perfect fit for signal and image processing
    • Nov
    • M. Unser, "Splines - A perfect fit for signal and image processing," IEEE Signal Process. Mag., vol. 16, no. 6, pp. 22-38, Nov. 1999.
    • (1999) IEEE Signal Process. Mag , vol.16 , Issue.6 , pp. 22-38
    • Unser, M.1
  • 15
    • 33745728950 scopus 로고    scopus 로고
    • Directionlets: Anisotropic multi-directional representation with separable filtering
    • Jul
    • V. Velisavljevic, B. Beferull-Lozano, M. Vetterli, and P. L. Dragotti, "Directionlets: Anisotropic multi-directional representation with separable filtering," IEEE Trans. Image Process., vol. 15, no. 7, pp. 1916-1933, Jul. 2006.
    • (2006) IEEE Trans. Image Process , vol.15 , Issue.7 , pp. 1916-1933
    • Velisavljevic, V.1    Beferull-Lozano, B.2    Vetterli, M.3    Dragotti, P.L.4
  • 16
    • 30144432953 scopus 로고    scopus 로고
    • Subsampling models and anti-alias filters for 3-D automultiscopic displays
    • Jan
    • J. Konrad and P. Agniel, "Subsampling models and anti-alias filters for 3-D automultiscopic displays," IEEE Trans. Image Process., vol. 15, no. 1, pp. 128-140, Jan. 2006.
    • (2006) IEEE Trans. Image Process , vol.15 , Issue.1 , pp. 128-140
    • Konrad, J.1    Agniel, P.2
  • 18
    • 0034513921 scopus 로고    scopus 로고
    • Shape reconstruction from moments: Theory, algorithms, and applications
    • Nov
    • P. Milanfar, M. Putinar, J. Varah, B. Gustafsson, and G. Golub, "Shape reconstruction from moments: Theory, algorithms, and applications," in Proc. SPIE, Nov. 2000, vol. 4116, pp. 406-416.
    • (2000) Proc. SPIE , vol.4116 , pp. 406-416
    • Milanfar, P.1    Putinar, M.2    Varah, J.3    Gustafsson, B.4    Golub, G.5
  • 19
    • 0029252339 scopus 로고
    • Reconstructing polygons from moments with connections to array processing
    • Feb
    • P. Milanfar, G. Verghese, W. Karl, and A. Willsky, "Reconstructing polygons from moments with connections to array processing," IEEE Trans. Signal Process., vol. 43, no. 2, pp. 432-443, Feb. 1995.
    • (1995) IEEE Trans. Signal Process , vol.43 , Issue.2 , pp. 432-443
    • Milanfar, P.1    Verghese, G.2    Karl, W.3    Willsky, A.4
  • 20
    • 3142728626 scopus 로고    scopus 로고
    • Shape from moments-An estimation theory perspective
    • Jul
    • M. Elad, P. Milanfar, and G. H. Golub, "Shape from moments-An estimation theory perspective," IEEE Trans. Signal Process., vol. 52, no. 7, pp. 1814-1829, Jul. 2004.
    • (2004) IEEE Trans. Signal Process , vol.52 , Issue.7 , pp. 1814-1829
    • Elad, M.1    Milanfar, P.2    Golub, G.H.3
  • 24
    • 84937655864 scopus 로고
    • Visual pattern recognition by moment invariants
    • Feb
    • M. K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inf. Theory, vol. IT-8, no. 2, pp. 179-187, Feb. 1962.
    • (1962) IRE Trans. Inf. Theory , vol.IT-8 , Issue.2 , pp. 179-187
    • Hu, M.K.1
  • 25
    • 84968475291 scopus 로고
    • Triangle formulas in the complex plane
    • P. J. Davis, "Triangle formulas in the complex plane," Math. Comput., vol. 18, pp. 569-577, 1964.
    • (1964) Math. Comput , vol.18 , pp. 569-577
    • Davis, P.J.1
  • 26
    • 0024053498 scopus 로고
    • On image analysis by the methods of moments
    • Jul
    • C. Teh and R. T. Chin, "On image analysis by the methods of moments," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-10, no. 4, pp. 496-513, Jul. 1988.
    • (1988) IEEE Trans. Pattern Anal. Mach. Intell , vol.PAMI-10 , Issue.4 , pp. 496-513
    • Teh, C.1    Chin, R.T.2
  • 28
    • 0041521798 scopus 로고    scopus 로고
    • Reconstructing planar domains from their moments
    • Aug
    • B. Gustafsson, C. He, P. Milanfar, and M. Putinar, "Reconstructing planar domains from their moments," Inverse Problems, vol. 16, no. 4, pp. 1053-1070, Aug. 2000.
    • (2000) Inverse Problems , vol.16 , Issue.4 , pp. 1053-1070
    • Gustafsson, B.1    He, C.2    Milanfar, P.3    Putinar, M.4
  • 30
    • 7444226410 scopus 로고    scopus 로고
    • Polygonal and polyhedral contour reconstruction in computed tomography
    • Nov
    • C. Soussen and A. Mohammad-Djafari, "Polygonal and polyhedral contour reconstruction in computed tomography," IEEE Trans. Image Process. vol. 13, no. 11, pp. 1507-1523, Nov. 2004.
    • (2004) IEEE Trans. Image Process , vol.13 , Issue.11 , pp. 1507-1523
    • Soussen, C.1    Mohammad-Djafari, A.2
  • 31
    • 33645704779 scopus 로고    scopus 로고
    • Recovering convex edges of an image from noisy tomographic data
    • Apr
    • A. Goldenshluger and V. Spokoiny, "Recovering convex edges of an image from noisy tomographic data," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1322-1334, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1322-1334
    • Goldenshluger, A.1    Spokoiny, V.2
  • 33
    • 2542641631 scopus 로고    scopus 로고
    • Interpolation by bivariate polynomials based on Radon projections
    • B. Bojanov and I. K. Georgieva, "Interpolation by bivariate polynomials based on Radon projections," Studia Math., vol. 162, no. 2, pp. 141-160, 2004.
    • (2004) Studia Math , vol.162 , Issue.2 , pp. 141-160
    • Bojanov, B.1    Georgieva, I.K.2
  • 34
    • 33144475230 scopus 로고    scopus 로고
    • Reconstruction of a polynomial from its Radon projections
    • Sep
    • B. Bojanov and Y. Xu, "Reconstruction of a polynomial from its Radon projections," SIAM J. Math. Anal., vol. 37, no. 1, pp. 238-250, Sep. 2005.
    • (2005) SIAM J. Math. Anal , vol.37 , Issue.1 , pp. 238-250
    • Bojanov, B.1    Xu, Y.2
  • 35
    • 34347393831 scopus 로고
    • Model based estimation techniques for 3-D reconstruction from projections,
    • Ph.D. dissertation, Electr. Eng. Dept, Stanford Univ, Stanford, CA
    • Y. Bresler, "Model based estimation techniques for 3-D reconstruction from projections," Ph.D. dissertation, Electr. Eng. Dept., Stanford Univ., Stanford, CA, 1985.
    • (1985)
    • Bresler, Y.1
  • 36
    • 0001131285 scopus 로고
    • Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type
    • H. Hakopian, "Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type," J. Approx. Theory, vol. 34, pp. 286-305, 1982.
    • (1982) J. Approx. Theory , vol.34 , pp. 286-305
    • Hakopian, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.