메뉴 건너뛰기




Volumn 9087, Issue , 2015, Pages 16-27

Spectral representations of one-homogeneous functionals

Author keywords

Convex regularization; Nonlinear eigenfunctions; Nonlinear spectral decomposition; Total variation

Indexed keywords

COMPUTER VISION; EIGENVALUES AND EIGENFUNCTIONS; FOURIER ANALYSIS; FOURIER TRANSFORMS; WAVELET ANALYSIS;

EID: 84931085646     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-319-18461-6_2     Document Type: Conference Paper
Times cited : (33)

References (25)
  • 3
    • 33644533840 scopus 로고    scopus 로고
    • Structure-texture image decomposition - modeling, algorithms, and parameter selection
    • Aujol, J., Gilboa, G., Chan, T., Osher, S.: Structure-texture image decomposition - modeling, algorithms, and parameter selection. Int. J. Comp. Vision 67, 111-136 (2006)
    • (2006) Int. J. Comp. Vision , vol.67 , pp. 111-136
    • Aujol, J.1    Gilboa, G.2    Chan, T.3    Osher, S.4
  • 5
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian eigenmaps for dimensionality reduction and data representation
    • Belkin, M., Niyogi, P.: Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation 15(6), 1373-1396 (2003)
    • (2003) Neural Computation , vol.15 , Issue.6 , pp. 1373-1396
    • Belkin, M.1    Niyogi, P.2
  • 7
    • 84885881025 scopus 로고    scopus 로고
    • Higher-order tv methods: Enhancement via bregman iteration
    • Benning, M., Brune, C., Burger, M., Müller, J.: Higher-order tv methods: enhancement via bregman iteration. J. Sci. Comput. 54, 269-310 (2013)
    • (2013) J. Sci. Comput. , vol.54 , pp. 269-310
    • Benning, M.1    Brune, C.2    Burger, M.3    Müller, J.4
  • 8
    • 84907685967 scopus 로고    scopus 로고
    • Ground states and singular vectors of convex variational regularization methods
    • Benning, M., Burger, M.: Ground states and singular vectors of convex variational regularization methods. Meth. Appl. Analysis 20(4), 295-334 (2013)
    • (2013) Meth. Appl. Analysis , vol.20 , Issue.4 , pp. 295-334
    • Benning, M.1    Burger, M.2
  • 9
  • 11
    • 85121572269 scopus 로고    scopus 로고
    • Nonlinear inverse scale space methods
    • Burger, M., Gilboa, G., Osher, S., Xu, J.: Nonlinear inverse scale space methods. Comm. in Math. Sci. 4(1), 179-212 (2006)
    • (2006) Comm. In Math. Sci , vol.4 , Issue.1 , pp. 179-212
    • Burger, M.1    Gilboa, G.2    Osher, S.3    Xu, J.4
  • 12
    • 0035250066 scopus 로고    scopus 로고
    • The digital TV filter and nonlinear denoising
    • Chan, T.F., Osher, S., Shen, J.: The digital TV filter and nonlinear denoising. IEEE Trans. Image Process. 10(2), 231-241 (2001)
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.2 , pp. 231-241
    • Chan, T.F.1    Osher, S.2    Shen, J.3
  • 15
    • 84884405191 scopus 로고    scopus 로고
    • A spectral approach to total variation
    • In: Kuijper, A., Bredies, K., Pock, T., Bischof, H. (eds.), Springer, Heidelberg
    • Gilboa, G.: A spectral approach to total variation. In: Kuijper, A., Bredies, K., Pock, T., Bischof, H. (eds.) SSVM 2013. LNCS, vol. 7893, pp. 36-47. Springer, Heidelberg (2013)
    • (2013) SSVM 2013. LNCS , vol.7893 , pp. 36-47
    • Gilboa, G.1
  • 16
    • 84919667765 scopus 로고    scopus 로고
    • A total variation spectral framework for scale and texture analysis. SIAM
    • Gilboa, G.: A total variation spectral framework for scale and texture analysis. SIAM J. Imaging Sciences 7(4), 1937-1961 (2014)
    • (2014) J. Imaging Sciences , vol.7 , Issue.4 , pp. 1937-1961
    • Gilboa, G.1
  • 21
    • 33749252638 scopus 로고    scopus 로고
    • Image decomposition and restoration using total variation minimization and the H −1 norm
    • Osher, S., Sole, A., Vese, L.: Image decomposition and restoration using total variation minimization and the H −1 norm. SIAM Multiscale Model. Simul. 1, 349-370 (2003)
    • (2003) SIAM Multiscale Model. Simul , vol.1 , pp. 349-370
    • Osher, S.1    Sole, A.2    Vese, L.3
  • 22
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60, 259-268 (1992)
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 24
    • 13244274395 scopus 로고    scopus 로고
    • On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularization, and SIDEs
    • Steidl, G., Weickert, J., Brox, T., Mrzek, P., Welk, M.: On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularization, and SIDEs. SIAM Journal on Numerical Analysis 42(2), 686-713 (2004)
    • (2004) SIAM Journal on Numerical Analysis , vol.42 , Issue.2 , pp. 686-713
    • Steidl, G.1    Weickert, J.2    Brox, T.3    Mrzek, P.4    Welk, M.5
  • 25
    • 33847715169 scopus 로고    scopus 로고
    • Iterative regularization and nonlinear inverse scale space applied to wavelet-based denoising
    • Xu, J., Osher, S.: Iterative regularization and nonlinear inverse scale space applied to wavelet-based denoising. IEEE Trans. Image Processing 16(2), 534-544 (2007)
    • (2007) IEEE Trans. Image Processing , vol.16 , Issue.2 , pp. 534-544
    • Xu, J.1    Osher, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.