메뉴 건너뛰기




Volumn 14, Issue 4, 2005, Pages 450-460

Variational image reconstruction from arbitrarily spaced samples: A fast multiresolution spline solution

Author keywords

B splines; Multigrid algorithm; Multiresolution reconstruction; Nonuniform interpolation; Radial basis functions (RBFs); Thin plate splines; Variational reconstruction

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; IMAGE QUALITY; INTERPOLATION; LINEAR EQUATIONS; VARIATIONAL TECHNIQUES;

EID: 17444376024     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2004.841203     Document Type: Article
Times cited : (61)

References (28)
  • 1
    • 0026297818 scopus 로고
    • "Fast iterative and noniterative reconstruction of band-limited functions from irregular sampling values"
    • C. Cenker, H. Feichtinger, and H. Steier, "Fast iterative and noniterative reconstruction of band-limited functions from irregular sampling values," in Proc. ICASSP, 1991, pp. 1773-1776.
    • (1991) Proc. ICASSP , pp. 1773-1776
    • Cenker, C.1    Feichtinger, H.2    Steier, H.3
  • 2
    • 0031123616 scopus 로고    scopus 로고
    • "Computationally attractive reconstruction of bandlimited images from irregular samples"
    • Apr
    • T. Strohmer, "Computationally attractive reconstruction of bandlimited images from irregular samples," IEEE Trans. Image Process., vol. 6, no. 4, pp. 540-548, Apr. 1997.
    • (1997) IEEE Trans. Image Process. , vol.6 , Issue.4 , pp. 540-548
    • Strohmer, T.1
  • 3
    • 17444362009 scopus 로고    scopus 로고
    • "Fast scattered data approximation with neumann and other boundary conditions"
    • to be published
    • T. Strohmer, "Fast scattered data approximation with neumann and other boundary conditions," Linear Algebra and Application, to be published.
    • Linear Algebra and Application
    • Strohmer, T.1
  • 4
    • 0034298489 scopus 로고    scopus 로고
    • "Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples"
    • Oct
    • Y. Eldar and A. Oppenheim, "Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples," IEEE Trans. Signal Process., vol. 48, no. 10, pp. 2864-2875, Oct. 2000.
    • (2000) IEEE Trans. Signal Process. , vol.48 , Issue.10 , pp. 2864-2875
    • Eldar, Y.1    Oppenheim, A.2
  • 5
    • 0035570177 scopus 로고    scopus 로고
    • "Nonuniform sampling and reconstruction in shift invariant spaces"
    • A. Aldroubi and K. Grochenig, "Nonuniform sampling and reconstruction in shift invariant spaces," SIAM Rev., vol. 43, pp. 585-620, 2001.
    • (2001) SIAM Rev. , vol.43 , pp. 585-620
    • Aldroubi, A.1    Grochenig, K.2
  • 7
    • 34250122797 scopus 로고
    • "Interpolation of scattered data: Distance matrices and conditionally positive definite functions"
    • C. A. Micchelli, "Interpolation of scattered data: distance matrices and conditionally positive definite functions," Constructive Approx. vol. 2, pp. 11-22, 1986.
    • (1986) Constructive Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 8
    • 34250265664 scopus 로고
    • "Multivariate interpolation at arbitrary points made simple"
    • J. Meinguet, "Multivariate interpolation at arbitrary points made simple," Zeitschrift fur Angewandte Mathematik und Physik, vol. 30, pp. 292-304, 1979.
    • (1979) Zeitschrift Fur Angewandte Mathematik Und Physik , vol.30 , pp. 292-304
    • Meinguet, J.1
  • 10
    • 0031060810 scopus 로고    scopus 로고
    • "Surface interpolation with radial basis function for medical imaging"
    • Jan
    • W. R. Fright, J. C. Carr, and R. K. Beatson, "Surface interpolation with radial basis function for medical imaging," IEEE Trans. Med. Imag., vol. 16, no. 1, pp. 96-107, Jan. 1997.
    • (1997) IEEE Trans. Med. Imag. , vol.16 , Issue.1 , pp. 96-107
    • Fright, W.R.1    Carr, J.C.2    Beatson, R.K.3
  • 11
    • 0034775741 scopus 로고    scopus 로고
    • "Fast solutions of radial basis function interpolation equations: Domain decomposistion methods"
    • R. Beatson, W. A. Light, and S. Billings, "Fast solutions of radial basis function interpolation equations: domain decomposistion methods," SIAM J. Sci. Comput., vol. 22, no. 5, pp. 1717-1740, 2000.
    • (2000) SIAM J. Sci. Comput. , vol.22 , Issue.5 , pp. 1717-1740
    • Beatson, R.1    Light, W.A.2    Billings, S.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. 2, pp. 22-38, Nov. 1999.
    • (1999) IEEE Signal Process. Mag. , vol.16 , Issue.2 , pp. 22-38
    • Unser, M.1
  • 14
    • 0029772244 scopus 로고
    • "Multigrid adaptive image processing"
    • Oct
    • M. Unser, "Multigrid adaptive image processing," in Proc. IEEE Int. Conf. Image Processing, vol. 1, Oct. 1995, pp. 49-52.
    • (1995) Proc. IEEE Int. Conf. Image Processing , vol.1 , pp. 49-52
    • Unser, M.1
  • 15
    • 0027683321 scopus 로고
    • "Wavelet transform in scattering data interpolation"
    • Oct
    • M.-H. Yaou and W.-T. Chang, "Wavelet transform in scattering data interpolation," Electron. Lett., vol. 29, no. 21, pp. 1835-1837, Oct. 1993.
    • (1993) Electron. Lett. , vol.29 , Issue.21 , pp. 1835-1837
    • Yaou, M.-H.1    Chang, W.-T.2
  • 16
    • 0025448712 scopus 로고
    • "Fast surface interpolation using hierarchical basis"
    • Jun
    • R. Szeliski, "Fast surface interpolation using hierarchical basis," IEEE Trans. Pattern Anal. Mach. Intell., vol. 12, no. 6, pp. 513-528, Jun. 1990.
    • (1990) IEEE Trans. Pattern Anal. Mach. Intell. , vol.12 , Issue.6 , pp. 513-528
    • Szeliski, R.1
  • 19
    • 0001426609 scopus 로고
    • "Spline functions and the problem of graduation"
    • I. J. Schoenberg, "Spline functions and the problem of graduation," Proc. Nat. Acad. Sci., vol. 52, pp. 652-654, 1964.
    • (1964) Proc. Nat. Acad. Sci. , vol.52 , pp. 652-654
    • Schoenberg, I.J.1
  • 20
    • 0030107894 scopus 로고    scopus 로고
    • "Approximation power of biorthogonal wavelet expansions"
    • Mar
    • M. Unser, "Approximation power of biorthogonal wavelet expansions," IEEE Trans. Signal Process., vol. 44, no. 3, pp. 519-527, Mar. 1996.
    • (1996) IEEE Trans. Signal Process. , vol.44 , Issue.3 , pp. 519-527
    • Unser, M.1
  • 21
    • 0035398869 scopus 로고    scopus 로고
    • "Moms: Maximal-order interpolation of minimal support"
    • Oct
    • T. Blu, P. Thevenaz, and M. Unser, "Moms: Maximal-order interpolation of minimal support," IEEE Trans. Image Process., vol. 10, no. 10, pp. 1069-1080, Oct. 2001.
    • (2001) IEEE Trans. Image Process. , vol.10 , Issue.10 , pp. 1069-1080
    • Blu, T.1    Thevenaz, P.2    Unser, M.3
  • 26
    • 0026910575 scopus 로고
    • "Cardinal spline filters: Stability and convergence to the ideal sinc interpolator"
    • A. Aldroubi, M. Unser, and M. Eden, "Cardinal spline filters: Stability and convergence to the ideal sinc interpolator," Signal Process., vol. 28, pp. 127-138, 1992.
    • (1992) Signal Process. , vol.28 , pp. 127-138
    • Aldroubi, A.1    Unser, M.2    Eden, M.3
  • 27
    • 0028427367 scopus 로고
    • "Automated smoothing of image and other regularly spaced data"
    • Jun
    • M. Berman, "Automated smoothing of image and other regularly spaced data," IEEE Trans. Pattern Anal. Mach. Intell., vol. 16, no. 6, pp. 460-468, Jun. 1994.
    • (1994) IEEE Trans. Pattern Anal. Mach. Intell. , vol.16 , Issue.6 , pp. 460-468
    • Berman, M.1
  • 28
    • 0035443388 scopus 로고    scopus 로고
    • "Least-squares image resizing using finite differences"
    • Nov
    • A. Munoz, T. Blu, and M. Unser, "Least-squares image resizing using finite differences," IEEE Trans. Image Process., vol. 10, no. 11, pp. 1365-1378, Nov. 2001.
    • (2001) IEEE Trans. Image Process. , vol.10 , Issue.11 , pp. 1365-1378
    • Munoz, A.1    Blu, T.2    Unser, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.