메뉴 건너뛰기




Volumn 68, Issue 1, 2006, Pages 65-82

Fast anisotropic smoothing of multi-valued images using curvature-preserving PDE's

Author keywords

Anisotropic smoothing; Data regularization; Denoising; Diffusion PDE's; Inpainting; Multi valued images; Nonlinear interpolation; Tensor valued geometry

Indexed keywords

ALGORITHMS; ANISOTROPY; CONSTRAINT THEORY; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; RESTORATION; TENSORS;

EID: 33646581986     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-006-5631-z     Document Type: Conference Paper
Times cited : (232)

References (56)
  • 2
    • 0028413507 scopus 로고
    • Signal and image restoration using shock filters and anisotropic diffusion
    • Alvarez, L. and Mazorra, L. 1994. Signal and image restoration using shock filters and anisotropic diffusion. SIAM Journal of Numerical Analysis, 31(2):590-605.
    • (1994) SIAM Journal of Numerical Analysis , vol.31 , Issue.2 , pp. 590-605
    • Alvarez, L.1    Mazorra, L.2
  • 4
    • 85049184544 scopus 로고    scopus 로고
    • Mathematical problems in image processing: Partial differential equations and the calculus of variations
    • Springer-Verlag
    • Aubert, G. and Kornprobst, P. 2002. Mathematical problems in image processing: Partial differential equations and the calculus of variations, Applied Mathematical Sciences, vol. 147, Springer-Verlag.
    • (2002) Applied Mathematical Sciences , vol.147
    • Aubert, G.1    Kornprobst, P.2
  • 5
    • 0036603206 scopus 로고    scopus 로고
    • Fundamental relationship between bilateral filtering, adaptive smoothing and the nonlinear diffusion equation
    • Barash, D. A Fundamental relationship between bilateral filtering, adaptive smoothing and the nonlinear diffusion equation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 24(6):844.
    • IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.24 , Issue.6 , pp. 844
    • Barash, D.A.1
  • 7
    • 0035842857 scopus 로고    scopus 로고
    • Variational problems and partial differential equations on implicit surfaces
    • Bertalmio, M., Cheng, L.T., Osher, S., and Sapito, G. 2001. Variational problems and partial differential equations on implicit surfaces. Computing and Visualization in Science, 174(2):759-780.
    • (2001) Computing and Visualization in Science , vol.174 , Issue.2 , pp. 759-780
    • Bertalmio, M.1    Cheng, L.T.2    Osher, S.3    Sapito, G.4
  • 11
    • 0027866956 scopus 로고
    • Imaging vector fields using line integral convolution
    • Cabral, B. and Leedom, L.C. 1993. Imaging vector fields using line integral convolution. SIGGRAPH'93. in Computer Graphics, 27, 263-272.
    • (1993) SIGGRAPH'93. in Computer Graphics , vol.27 , pp. 263-272
    • Cabral, B.1    Leedom, L.C.2
  • 12
    • 0032028277 scopus 로고    scopus 로고
    • Adaptive smoothing respecting feature directions
    • Carmona, R. and Zhong, S. 1998. Adaptive smoothing respecting feature directions. IEEE Transactions on Image Processing, 7(3):353-358.
    • (1998) IEEE Transactions on Image Processing , vol.7 , Issue.3 , pp. 353-358
    • Carmona, R.1    Zhong, S.2
  • 13
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • Chambolle, A. and Lions, P.L. 1997. Image recovery via total variation minimization and related problems. Nümerische Mathematik, 76(2):167-188.
    • (1997) Nümerische Mathematik , vol.76 , Issue.2 , pp. 167-188
    • Chambolle, A.1    Lions, P.L.2
  • 14
    • 0034844910 scopus 로고    scopus 로고
    • Variational restoration of non-flat image features: Models and algorithms
    • Chan, T. and Shen, J. 2000. Variational restoration of non-flat image features: Models and algorithms. SIAM Journal of Applied Mathematics, 61(4): 1338-1361.
    • (2000) SIAM Journal of Applied Mathematics , vol.61 , Issue.4 , pp. 1338-1361
    • Chan, T.1    Shen, J.2
  • 20
    • 0001247679 scopus 로고    scopus 로고
    • Les EDPen traitement des images et vision par ordinateur
    • Deriche, R. and Faugeras, O. 1997. Les EDPen traitement des images et vision par ordinateur. Traitement du Signal, 13(6).
    • (1997) Traitement du Signal , vol.13 , Issue.6
    • Deriche, R.1    Faugeras, O.2
  • 23
    • 0034266690 scopus 로고    scopus 로고
    • Images as embedded maps and minimal surfaces: Movies, color, texture, and volumetric medical images
    • Kimmel, R., Malladi, R., and Sochen, N. 2000. Images as embedded maps and minimal surfaces: movies, color, texture, and volumetric medical images. International Journal of Computer Vision, 39(2): 111-129.
    • (2000) International Journal of Computer Vision , vol.39 , Issue.2 , pp. 111-129
    • Kimmel, R.1    Malladi, R.2    Sochen, N.3
  • 31
    • 0025474774 scopus 로고
    • Feature-oriented image enhancement using shock filters
    • Osher, S. and Rudin, L.I. 1990. Feature-oriented image enhancement using shock filters. SIAM Journal of Numerical Analysis, 27(4):919-940.
    • (1990) SIAM Journal of Numerical Analysis , vol.27 , Issue.4 , pp. 919-940
    • Osher, S.1    Rudin, L.I.2
  • 36
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin, L., Osher, S., and Fatemi, E. 1992. Nonlinear total variation based noise removal algorithms. Physica D, 60:259-268.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 38
    • 0030286977 scopus 로고    scopus 로고
    • Anisotropic diffusion of multi-valued images with applications to color filtering
    • Sapiro, G. and Ringach, D.L. 1996, Anisotropic diffusion of multi-valued images with applications to color filtering. IEEE Transactions on Image Processing, 5(11): 1582-1585.
    • (1996) IEEE Transactions on Image Processing , vol.5 , Issue.11 , pp. 1582-1585
    • Sapiro, G.1    Ringach, D.L.2
  • 42
    • 0033893218 scopus 로고    scopus 로고
    • Diffusion of general data on non-flat manifolds via harmonic maps theory: The direction diffusion case
    • Tang, B., Sapiro, G., and Caselles, V. 2000. Diffusion of general data on non-flat manifolds via harmonic maps theory: The direction diffusion case. International Journal of Computer Vision, 36(2): 149-161.
    • (2000) International Journal of Computer Vision , vol.36 , Issue.2 , pp. 149-161
    • Tang, B.1    Sapiro, G.2    Caselles, V.3
  • 45
  • 47
    • 85032751206 scopus 로고    scopus 로고
    • Diffusion PDE's on vector-valued images: Local approach and geometric viewpoint
    • Tschumperlé, D. and Deriche, R. 2002. Diffusion PDE's on vector-valued images: Local approach and geometric viewpoint. IEEE Signal Processing Magazine, 19(5): 16-25.
    • (2002) IEEE Signal Processing Magazine , vol.19 , Issue.5 , pp. 16-25
    • Tschumperlé, D.1    Deriche, R.2
  • 49
    • 33646591391 scopus 로고    scopus 로고
    • The CImg Library: The C++ Template Image Processing Library
    • Tschumperlé, D. The CImg Library: http://cimg.sourceforge.net. The C++ Template Image Processing Library.
    • Tschumperlé, D.1
  • 51
    • 0001768693 scopus 로고
    • Anisotropic diffusion filters for image processing based quality control
    • Weickert, J. 1994. Anisotropic diffusion filters for image processing based quality control. 7th European Conference on Mathematics in Industry, pp. 355-362.
    • (1994) 7th European Conference on Mathematics in Industry , pp. 355-362
    • Weickert, J.1
  • 53
    • 0033100270 scopus 로고    scopus 로고
    • Coherence-enhancing diffusion of colour images
    • Weickert, J. 1999. Coherence-enhancing diffusion of colour images. Image and Vision Computing, 17:199-210.
    • (1999) Image and Vision Computing , vol.17 , pp. 199-210
    • Weickert, J.1
  • 54
    • 24644465521 scopus 로고    scopus 로고
    • Diffusion and regularization of vector and matrix-valued images
    • vol. 313 of Contemporary Mathematics
    • Weickert, J. and Brox, T. 2002. Diffusion and regularization of vector and matrix-valued images. Inverse Problems, Image Analysis, and Medical Imaging, vol. 313 of Contemporary Mathematics, pp. 251-268.
    • (2002) Inverse Problems, Image Analysis, and Medical Imaging , pp. 251-268
    • Weickert, J.1    Brox, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.