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Volumn 17, Issue 10, 2008, Pages 1891-1899

Graph Laplacian tomography from unknown random projections

Author keywords

Dimensionality reduction; Graph laplacian; Tomography

Indexed keywords

DIAGNOSTIC RADIOGRAPHY; GRAPH THEORY; IMAGING TECHNIQUES; MEDICAL IMAGING; REPAIR; RESTORATION; THERMOGRAPHY (TEMPERATURE MEASUREMENT); TOMOGRAPHY;

EID: 52749089499     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2008.2002305     Document Type: Article
Times cited : (191)

References (29)
  • 2
    • 5644278488 scopus 로고    scopus 로고
    • Principles of Computerized Tomographic Imaging
    • Philadelphia, PA: SIAM
    • A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, ser. Classics in Applied Mathematics. Philadelphia, PA: SIAM, 2001.
    • (2001) ser. Classics in Applied Mathematics
    • Kak, A.C.1    Slaney, M.2
  • 3
    • 6344283226 scopus 로고    scopus 로고
    • The Mathematics of Computerized Tomography
    • Philadelphia, PA: SIAM
    • F. Natterer, The Mathematics of Computerized Tomography, ser. Classics in Applied Mathematics. Philadelphia, PA: SIAM, 2001.
    • (2001) ser. Classics in Applied Mathematics
    • Natterer, F.1
  • 5
    • 0033718617 scopus 로고    scopus 로고
    • Uniqueness of tomography with unknown view angles
    • Jun
    • S. Basu and Y. Bresler, "Uniqueness of tomography with unknown view angles," IEEE Trans. Image Process., vol. 9, no. 6, pp. 1094-1106, Jun. 2000.
    • (2000) IEEE Trans. Image Process , vol.9 , Issue.6 , pp. 1094-1106
    • Basu, S.1    Bresler, Y.2
  • 6
    • 0033713732 scopus 로고    scopus 로고
    • Feasibility of tomography with unknown view angles
    • Jun
    • S. Basu and Y. Bresler, "Feasibility of tomography with unknown view angles," IEEE Trans. Image Process., vol. 9, no. 6, pp. 1107-1122, Jun. 2000.
    • (2000) IEEE Trans. Image Process , vol.9 , Issue.6 , pp. 1107-1122
    • Basu, S.1    Bresler, Y.2
  • 8
    • 26444490324 scopus 로고    scopus 로고
    • Diffusion maps and geometric harmonics
    • Ph.D. dissertation, Yale Univ, New Haven, CT
    • S. Lafon, "Diffusion maps and geometric harmonics" Ph.D. dissertation, Yale Univ., New Haven, CT, 2004.
    • (2004)
    • Lafon, S.1
  • 9
    • 0002001578 scopus 로고
    • Translation invariant de-noising
    • A. Antoniadis and G. Oppenheim, Eds. New York: Springer
    • R. R. Coifman and D. Donoho, "Translation invariant de-noising," in Wavelets in Statistics, A. Antoniadis and G. Oppenheim, Eds. New York: Springer, 1995, pp. 125-150.
    • (1995) Wavelets in Statistics , pp. 125-150
    • Coifman, R.R.1    Donoho, D.2
  • 11
    • 0034245578 scopus 로고    scopus 로고
    • Ab initio reconstruction and experimental design for cryo electron microscopy
    • Aug
    • P. Doerschuk and J. E. Johnson, "Ab initio reconstruction and experimental design for cryo electron microscopy," IEEE Trans. Inf. Theory, vol. 46, no. 5, pp. 1714-1729, Aug. 2000.
    • (2000) IEEE Trans. Inf. Theory , vol.46 , Issue.5 , pp. 1714-1729
    • Doerschuk, P.1    Johnson, J.E.2
  • 13
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian eigenmaps for dimensionality reduction and data representation
    • M. Belkin and P. Niyogi, "Laplacian eigenmaps for dimensionality reduction and data representation," Neural Comput., vol. 15, pp. 1373-1396, 2003.
    • (2003) Neural Comput , vol.15 , pp. 1373-1396
    • Belkin, M.1    Niyogi, P.2
  • 14
    • 19644394100 scopus 로고    scopus 로고
    • Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
    • R.R. Coifman, S. Lafon, A. B. Lee, M. Maggioni, B. Nadler, F. Warner, and S. W. Zucker, "Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps," Proc. Nat. Acad. Sci., vol. 102, no. 21, pp. 7426-7431, 2005.
    • (2005) Proc. Nat. Acad. Sci , vol.102 , Issue.21 , pp. 7426-7431
    • Coifman, R.R.1    Lafon, S.2    Lee, A.B.3    Maggioni, M.4    Nadler, B.5    Warner, F.6    Zucker, S.W.7
  • 15
    • 19644366699 scopus 로고    scopus 로고
    • Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods
    • R.R. Coifman, S. Lafon, A. B. Lee, M. Maggioni, B. Nadler, F. Warner, and S. W. Zucker, "Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods," Proc. Nat. Acad. Sci., vol. 102, no. 21, pp. 7432-7437, 2005.
    • (2005) Proc. Nat. Acad. Sci , vol.102 , Issue.21 , pp. 7432-7437
    • Coifman, R.R.1    Lafon, S.2    Lee, A.B.3    Maggioni, M.4    Nadler, B.5    Warner, F.6    Zucker, S.W.7
  • 16
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • Dec
    • S. T. Rowels and L. K. Saul, "Nonlinear dimensionality reduction by locally linear embedding," Science, vol. 290, no. 5500, pp. 2323-2326, Dec. 2000.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2323-2326
    • Rowels, S.T.1    Saul, L.K.2
  • 17
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • Dec
    • J. B. Tenenbaum, V. de Silva, and J. C. Langford, "A global geometric framework for nonlinear dimensionality reduction," Science, vol. 290, no. 5500, pp. 2319-2323, Dec. 2000.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    de Silva, V.2    Langford, J.C.3
  • 18
    • 33745397832 scopus 로고    scopus 로고
    • From graph to manifold Laplacian: The convergence rate
    • Jul
    • A. Singer, "From graph to manifold Laplacian: The convergence rate," Appl. Comput. Harmon. Anal., vol. 21, no. 1, pp. 128-134, Jul. 2006.
    • (2006) Appl. Comput. Harmon. Anal , vol.21 , Issue.1 , pp. 128-134
    • Singer, A.1
  • 20
    • 84864071145 scopus 로고    scopus 로고
    • Diffusion maps, spectral clustering and eigenfunctions of Fokker-Planck operators
    • Y. Weiss, B. Schölkopf, and J. Platt, Eds. Cambridge, MA: MIT Press
    • B. Nadler, S. Lafon, R. R. Coifman, and I. Kevrekidis, "Diffusion maps, spectral clustering and eigenfunctions of Fokker-Planck operators," in Advances in Neural Information Processing Systems, Y. Weiss, B. Schölkopf, and J. Platt, Eds. Cambridge, MA: MIT Press, 2006, vol. 18, pp. 955-962.
    • (2006) Advances in Neural Information Processing Systems , vol.18 , pp. 955-962
    • Nadler, B.1    Lafon, S.2    Coifman, R.R.3    Kevrekidis, I.4
  • 23
    • 31844456759 scopus 로고    scopus 로고
    • Intrinsic dimensionality estimation of submanifolds in ℝd
    • M. Hein and Y. Audibert, L. De Raedt and S. Wrobel, Eds
    • d," in Proc. 22nd Int. Conf. Machine Learning, 2005, pp. 289-296.
    • (2005) Proc. 22nd Int. Conf. Machine Learning , pp. 289-296
  • 24
    • 0038584986 scopus 로고
    • On the threshold effect in radar range estimation
    • Jan
    • M. Zakai and J. Ziv, "On the threshold effect in radar range estimation," IEEE Trans. Inf. Theory, vol. 15, no. 1, pp. 167-170, Jan. 1969.
    • (1969) IEEE Trans. Inf. Theory , vol.15 , Issue.1 , pp. 167-170
    • Zakai, M.1    Ziv, J.2
  • 25
    • 84937349365 scopus 로고
    • Some lower bounds on signal parameter estimation
    • May
    • J. Ziv and M. Zakai, "Some lower bounds on signal parameter estimation," IEEE Trans. Inf. Theory, vol. IT-15, no. 3, pp. 386-391, May 1969.
    • (1969) IEEE Trans. Inf. Theory , vol.IT-15 , Issue.3 , pp. 386-391
    • Ziv, J.1    Zakai, M.2
  • 27
    • 33645653318 scopus 로고    scopus 로고
    • A review of image denoising algorithms, with a new one
    • A. Buades, B. Coll, and J. M. Morel, "A review of image denoising algorithms, with a new one," Multiscale Model. Simul., vol. 4, no. 2, pp. 490-530, 2005.
    • (2005) Multiscale Model. Simul , vol.4 , Issue.2 , pp. 490-530
    • Buades, A.1    Coll, B.2    Morel, J.M.3
  • 28
    • 52749085066 scopus 로고    scopus 로고
    • A general framework for adaptive regularization based on diffusion processes on graphs
    • to be published
    • A. D. Szlam, M. Maggioni, and R. R. Coifman, "A general framework for adaptive regularization based on diffusion processes on graphs," J. Mach. Learn. Res., to be published.
    • J. Mach. Learn. Res
    • Szlam, A.D.1    Maggioni, M.2    Coifman, R.R.3
  • 29
    • 48349109325 scopus 로고    scopus 로고
    • Non linear independent component analysis with diffusion maps
    • A. Singer and R. R. Coifman, "Non linear independent component analysis with diffusion maps," Appl. Comput. Harmon. Anal., vol. 25 (2), pp. 226-239, 2008.
    • (2008) Appl. Comput. Harmon. Anal , vol.25 , Issue.2 , pp. 226-239
    • Singer, A.1    Coifman, R.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.