메뉴 건너뛰기




Volumn 14, Issue 5-6, 2008, Pages 744-763

Three novel edge detection methods for incomplete and noisy spectral data

Author keywords

Compressed sensing; Concentration factors; Edge detection; Incomplete data; The RA SFA algorithm; Zero crossing

Indexed keywords


EID: 57349120718     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-008-9038-9     Document Type: Article
Times cited : (10)

References (21)
  • 1
    • 84974253506 scopus 로고
    • Formulation and computational aspects of image analysis
    • L. Alvarez J.-M. Morel 1994 Formulation and computational aspects of image analysis Acta. Numer. 3 1 59
    • (1994) Acta. Numer. , vol.3 , pp. 1-59
    • Alvarez, L.1    Morel, J.-M.2
  • 2
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • E. Candes J. Romberg T. Tao 2004 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inf. Theory 52 489 509
    • (2004) IEEE Trans. Inf. Theory , vol.52 , pp. 489-509
    • Candes, E.1    Romberg, J.2    Tao, T.3
  • 3
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • E. Candes J. Romberg T. Tao 2005 Stable signal recovery from incomplete and inaccurate measurements Commun. Pure Appl. Math. 59 1207 1223
    • (2005) Commun. Pure Appl. Math. , vol.59 , pp. 1207-1223
    • Candes, E.1    Romberg, J.2    Tao, T.3
  • 6
    • 0024480284 scopus 로고
    • Authenticating edges produced by zero-crossing algorithms
    • 1
    • J.J. Clark 1989 Authenticating edges produced by zero-crossing algorithms IEEE Trans. Pattern Anal. Mach. Intell. 2 1 43 57
    • (1989) IEEE Trans. Pattern Anal. Mach. Intell. , vol.2 , pp. 43-57
    • Clark, J.J.1
  • 7
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • D. Donoho M. Elad V. Temlyakov 2006 Stable recovery of sparse overcomplete representations in the presence of noise IEEE Trans. Inf. Theory 52 6 18
    • (2006) IEEE Trans. Inf. Theory , vol.52 , pp. 6-18
    • Donoho, D.1    Elad, M.2    Temlyakov, V.3
  • 8
    • 22144488449 scopus 로고    scopus 로고
    • Sparse nonnegative solutions of underdetermined linear equations by linear programming
    • 27
    • D. Donoho J. Tanner 2005 Sparse nonnegative solutions of underdetermined linear equations by linear programming Proc. Natl. Acad. Sci. 102 27 9446 9451
    • (2005) Proc. Natl. Acad. Sci. , vol.102 , pp. 9446-9451
    • Donoho, D.1    Tanner, J.2
  • 9
    • 55349099909 scopus 로고    scopus 로고
    • Recovery of edges from spectral data with noise-a new perspective
    • 5
    • S. Engelberg E. Tadmor 2008 Recovery of edges from spectral data with noise-a new perspective SIAM J. Numer. Anal. 46 5 2620 2635
    • (2008) SIAM J. Numer. Anal. , vol.46 , pp. 2620-2635
    • Engelberg, S.1    Tadmor, E.2
  • 10
    • 0026839172 scopus 로고
    • Some defects in finite-difference edge finders
    • 3
    • M.M. Fleck 1992 Some defects in finite-difference edge finders IEEE Trans. Pattern Anal. Mach. Intell. 14 3 337 345
    • (1992) IEEE Trans. Pattern Anal. Mach. Intell. , vol.14 , pp. 337-345
    • Fleck, M.M.1
  • 12
    • 0034431580 scopus 로고    scopus 로고
    • Detection of edges in spectral data II. Nonlinear enhancement
    • A. Gelb E. Tadmor 2001 Detection of edges in spectral data II. Nonlinear enhancement SIAM J. Numer. Anal. 38 1389 1408
    • (2001) SIAM J. Numer. Anal. , vol.38 , pp. 1389-1408
    • Gelb, A.1    Tadmor, E.2
  • 13
    • 0035999253 scopus 로고    scopus 로고
    • Spectral reconstruction of piecewise smooth functions from their discrete data
    • 2
    • A. Gelb E. Tadmor 2002 Spectral reconstruction of piecewise smooth functions from their discrete data Math. Model. Numer. Anal. 36 2 155 175
    • (2002) Math. Model. Numer. Anal. , vol.36 , pp. 155-175
    • Gelb, A.1    Tadmor, E.2
  • 14
    • 33747884037 scopus 로고    scopus 로고
    • Adaptive edge detectors for piecewise smooth data based on the minmod limiter
    • 2-3
    • A. Gelb E. Tadmor 2006 Adaptive edge detectors for piecewise smooth data based on the minmod limiter J. Sci. Comput. 23 2-3 279 306
    • (2006) J. Sci. Comput. , vol.23 , pp. 279-306
    • Gelb, A.1    Tadmor, E.2
  • 16
    • 33746801607 scopus 로고    scopus 로고
    • Geometric approach to error correcting codes and reconstruction of signals
    • M. Rudelson R. Vershynin 2005 Geometric approach to error correcting codes and reconstruction of signals Int. Math. Res. Not. 64 4019 4041
    • (2005) Int. Math. Res. Not. , vol.64 , pp. 4019-4041
    • Rudelson, M.1    Vershynin, R.2
  • 17
    • 35348892228 scopus 로고    scopus 로고
    • Filters, mollifiers and the computation of the Gibbs phenomenon
    • E. Tadmor 2007 Filters, mollifiers and the computation of the Gibbs phenomenon Acta Numer. 16 305 378
    • (2007) Acta Numer. , vol.16 , pp. 305-378
    • Tadmor, E.1
  • 19
    • 26944493362 scopus 로고    scopus 로고
    • Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis
    • J. Zou A. Gilbert M. Strauss I. Daubechies 2006 Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis J. Comput. Phys. 211 572 595
    • (2006) J. Comput. Phys. , vol.211 , pp. 572-595
    • Zou, J.1    Gilbert, A.2    Strauss, M.3    Daubechies, I.4
  • 20
    • 33750994329 scopus 로고    scopus 로고
    • A sublinear algorithm for the recovery of signals with sparse Fourier Transform when many samples are missing
    • J. Zou 2007 A sublinear algorithm for the recovery of signals with sparse Fourier Transform when many samples are missing Appl. Comput. Harmon. Anal. 22 61 77
    • (2007) Appl. Comput. Harmon. Anal. , vol.22 , pp. 61-77
    • Zou, J.1
  • 21
    • 26944468146 scopus 로고    scopus 로고
    • Sublinear Algorithms for the Fourier transform of signals with very few Fourier modes: Theory, implementations and applications
    • Princeton University
    • Zou, J.: Sublinear Algorithms for the Fourier transform of signals with very few Fourier modes: theory, implementations and applications. Ph.D. Dissertation, Princeton University, 2005
    • (2005) Ph.D. Dissertation
    • Zou, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.