메뉴 건너뛰기




Volumn 163, Issue 11, 2011, Pages 1564-1589

Compactly supported shearlets are optimally sparse

Author keywords

Curvilinear discontinuities; Edges; Nonlinear approximation; Optimal sparsity; Shearlets; Thresholding; Wavelets

Indexed keywords


EID: 80052656819     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2011.06.005     Document Type: Article
Times cited : (187)

References (19)
  • 1
    • 2442458882 scopus 로고    scopus 로고
    • New tight frames of curvelets and optimal representations of objects with C2 singularities
    • Candès E.J., Donoho D.L. New tight frames of curvelets and optimal representations of objects with C2 singularities. Comm. Pure Appl. Math. 2004, 56:219-266.
    • (2004) Comm. Pure Appl. Math. , vol.56 , pp. 219-266
    • Candès, E.J.1    Donoho, D.L.2
  • 4
    • 0033248623 scopus 로고    scopus 로고
    • Wedgelets: nearly minimax estimation of edges
    • Donoho D.L. Wedgelets: nearly minimax estimation of edges. Ann. Statist. 1999, 27:859-897.
    • (1999) Ann. Statist. , vol.27 , pp. 859-897
    • Donoho, D.L.1
  • 5
    • 0035533162 scopus 로고    scopus 로고
    • Sparse components of images and optimal atomic decomposition
    • Donoho D.L. Sparse components of images and optimal atomic decomposition. Constr. Approx. 2001, 17:353-382.
    • (2001) Constr. Approx. , vol.17 , pp. 353-382
    • Donoho, D.L.1
  • 6
    • 80052668624 scopus 로고    scopus 로고
    • Microlocal Analysis of the Geometric Separation Problems, preprint
    • D.L. Donoho, G. Kutyniok, Microlocal Analysis of the Geometric Separation Problems, preprint, 2010.
    • (2010)
    • Donoho D.L.Kutyniok, G.1
  • 7
    • 28944432472 scopus 로고    scopus 로고
    • The contourlet transform: an efficient directional multiresolution image representation
    • Do M.N., Vetterli M. The contourlet transform: an efficient directional multiresolution image representation. IEEE Trans. Image Proc. 2005, 14:2091-2106.
    • (2005) IEEE Trans. Image Proc. , vol.14 , pp. 2091-2106
    • Do, M.N.1    Vetterli, M.2
  • 8
    • 44049100077 scopus 로고    scopus 로고
    • Sparse directional image representations using the discrete shearlet transform
    • Easley G., Labate D., Lim W.-Q Sparse directional image representations using the discrete shearlet transform. Appl. Comput. Harmon. Anal. 2008, 25:25-46.
    • (2008) Appl. Comput. Harmon. Anal. , vol.25 , pp. 25-46
    • Easley, G.1    Labate, D.2    Lim, W.-Q.3
  • 9
    • 39149086932 scopus 로고    scopus 로고
    • Sparse multidimensional representations using anisotropic dilation and shear operators
    • Nashboro Press, Nashville, TN
    • Guo K., Kutyniok G., Labate D. Sparse multidimensional representations using anisotropic dilation and shear operators. Wavelets and Splines, Athens, GA, 2005 2006, 189-201. Nashboro Press, Nashville, TN.
    • (2006) Wavelets and Splines, Athens, GA, 2005 , pp. 189-201
    • Guo, K.1    Kutyniok, G.2    Labate, D.3
  • 10
    • 36148960270 scopus 로고    scopus 로고
    • Optimally sparse multidimensional representation using shearlets
    • Guo K., Labate D. Optimally sparse multidimensional representation using shearlets. SIAM J. Math Anal. 2007, 39:298-318.
    • (2007) SIAM J. Math Anal. , vol.39 , pp. 298-318
    • Guo, K.1    Labate, D.2
  • 11
    • 67349196015 scopus 로고    scopus 로고
    • Edge analysis and identification using the continuous shearlet transform
    • Guo K., Labate D., Lim W.-Q Edge analysis and identification using the continuous shearlet transform. Appl. Comput. Harmon. Anal. 2009, 27:24-46.
    • (2009) Appl. Comput. Harmon. Anal. , vol.27 , pp. 24-46
    • Guo, K.1    Labate, D.2    Lim, W.-Q.3
  • 12
    • 79960201109 scopus 로고    scopus 로고
    • Irregular shearlet frames: geometry and approximation properties
    • J. Fourier Anal. Appl., in press doi:10.1007/s00041-010-9163-0
    • P. Kittipoom, G. Kutyniok, W.-Q Lim, Irregular shearlet frames: geometry and approximation properties, J. Fourier Anal. Appl., in press (). doi:10.1007/s00041-010-9163-0.
    • Kittipoom, P.1    Kutyniok, G.2    Lim, W.-Q.3
  • 13
    • 80052689617 scopus 로고    scopus 로고
    • Construction of Compactly Supported Shearlets, preprint
    • P. Kittipoom, G. Kutyniok, W.-Q Lim, Construction of Compactly Supported Shearlets, preprint, 2010.
    • (2010)
    • Kittipoom, P.1    Kutyniok, G.2    Lim, W.-Q.3
  • 14
    • 67650551586 scopus 로고    scopus 로고
    • Resolution of the wavefront set using continuous shearlets
    • Kutyniok G., Labate D. Resolution of the wavefront set using continuous shearlets. Trans. Amer. Math. Soc. 2009, 361:2719-2754.
    • (2009) Trans. Amer. Math. Soc. , vol.361 , pp. 2719-2754
    • Kutyniok, G.1    Labate, D.2
  • 15
    • 70350722446 scopus 로고    scopus 로고
    • Construction of regular and irregular shearlet frames
    • Kutyniok G., Labate D. Construction of regular and irregular shearlet frames. J. Wavelet Theory and Appl. 2007, 1:1-10.
    • (2007) J. Wavelet Theory and Appl. , vol.1 , pp. 1-10
    • Kutyniok, G.1    Labate, D.2
  • 16
    • 70449468450 scopus 로고    scopus 로고
    • Development of a digital shearlet transform based on pseudo-polar FFT
    • SPIE, Bellingham, WA, 74460B-1-74460B-13, D. Van De Ville, V.K. Goyal, M. Papadakis (Eds.) Wavelets XIII, San Diego, CA, 2009
    • Kutyniok G., Shahram M., Donoho D.L. Development of a digital shearlet transform based on pseudo-polar FFT. SPIE Proc. 2009, vol. 7446. SPIE, Bellingham, WA, 74460B-1-74460B-13. D. Van De Ville, V.K. Goyal, M. Papadakis (Eds.).
    • (2009) SPIE Proc. , vol.7446
    • Kutyniok, G.1    Shahram, M.2    Donoho, D.L.3
  • 17
    • 30844463689 scopus 로고    scopus 로고
    • Sparse multidimensional representation using shearlets
    • SPIE, Bellingham, WA, Wavelets XI, San Diego, CA, 2005
    • Labate D., Lim W.-Q, Kutyniok G., Weiss G. Sparse multidimensional representation using shearlets. SPIE Proc. 2005, vol. 5914:254-262. SPIE, Bellingham, WA.
    • (2005) SPIE Proc. , vol.5914 , pp. 254-262
    • Labate, D.1    Lim, W.-Q.2    Kutyniok, G.3    Weiss, G.4
  • 18
    • 77951259893 scopus 로고    scopus 로고
    • The discrete shearlet transform: a new directional transform and compactly supported shearlet frames
    • Lim W.-Q The discrete shearlet transform: a new directional transform and compactly supported shearlet frames. IEEE Trans. Image Process. 2010, 19:1166-1180.
    • (2010) IEEE Trans. Image Process. , vol.19 , pp. 1166-1180
    • Lim, W.-Q.1
  • 19
    • 0141596362 scopus 로고    scopus 로고
    • Image compression using an efficient edge cartoon + texture model, in: Data Compression Conference, 2002. Proceedings. DCC 2002
    • M. Wakin, J. Romberg, C. Hyeokho, R. Baraniuk, Image compression using an efficient edge cartoon + texture model, in: Data Compression Conference, 2002. Proceedings. DCC 2002, vol. 2-4, 2002, pp. 43-52.
    • (2002) , vol.2-4 , pp. 43-52
    • Wakin, M.1    Romberg, J.2    Hyeokho, C.3    Baraniuk, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.