메뉴 건너뛰기




Volumn 7, Issue 1, 2001, Pages 31-45

Fast parallel algorithms for a broad class of nonlinear variational diffusion approaches

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE SEGMENTATION; MATHEMATICAL MODELS; NONLINEAR FILTERING; PARALLEL ALGORITHMS; PARALLEL PROCESSING SYSTEMS; VARIATIONAL TECHNIQUES;

EID: 0035251401     PISSN: 10072014     EISSN: None     Source Type: Journal    
DOI: 10.1006/rtim.2000.0221     Document Type: Article
Times cited : (9)

References (47)
  • 2
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin, L.I., Osher, S. & 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.I.1    Osher, S.2    Fatemi, E.3
  • 3
    • 0029341230 scopus 로고
    • Nonlinear image recovery with halfquadratic regularization
    • Geman, D. & Yang, C. (1995) Nonlinear image recovery with halfquadratic regularization. IEEE Trans. Image Proc. 4(7): 932-946.
    • (1995) IEEE Trans. Image Proc. , vol.4 , Issue.7 , pp. 932-946
    • Geman, D.1    Yang, C.2
  • 8
    • 0026835074 scopus 로고
    • Constrained restoration and the recovery of discontinuities
    • German, D. & Reynolds, G. (1992) Constrained restoration and the recovery of discontinuities. IEEE Trans. Patt. Anal. Mach. Intell., 14(3): 367-383.
    • (1992) IEEE Trans. Patt. Anal. Mach. Intell. , vol.14 , Issue.3 , pp. 367-383
    • German, D.1    Reynolds, G.2
  • 16
    • 34249767150 scopus 로고
    • A geometric model for active contours in image processing
    • Caselles, V., Catté, F., Coll, T. & Dibos, F. (1993) A geometric model for active contours in image processing. Numerische Mathematik 66: 1-31.
    • (1993) Numerische Mathematik , vol.66 , pp. 1-31
    • Caselles, V.1    Catté, F.2    Coll, T.3    Dibos, F.4
  • 17
    • 0030173610 scopus 로고    scopus 로고
    • A fast level set based algorithm for topology-independent shape modeling
    • Malladi, R., Sethian, S.A. & Vemuri, B.C. (1996) A fast level set based algorithm for topology-independent shape modeling. J. of Math. Mag. Vision 6(2/3): 269-289.
    • (1996) J. of Math. Mag. Vision , vol.6 , Issue.2-3 , pp. 269-289
    • Malladi, R.1    Sethian, S.A.2    Vemuri, B.C.3
  • 18
    • 84957681902 scopus 로고
    • A review of nonlinear diffusion filtering
    • ter Haar Romeny, B., Florack, L., Koederink, J. & Viergever, M. (eds), Berlin: Springer
    • Weickert, J. (1994) A review of nonlinear diffusion filtering. In: ter Haar Romeny, B., Florack, L., Koederink, J. & Viergever, M. (eds), Scale-Space Theory in Computer Vision, Vol. 1252 of Lect. Not. Comp. Sci. Berlin: Springer, pp. 3-28.
    • (1994) Scale-Space Theory in Computer Vision, Vol. 1252 of Lect. Not. Comp. Sci. , vol.1252 , pp. 3-28
    • Weickert, J.1
  • 19
    • 0032314496 scopus 로고    scopus 로고
    • Investigation of parallel and globally convergent iterative schemes for nonlinear variational image smoothing and segmentation
    • Chicago, Oct. 4-7
    • Heers, J., Schnörr, C. & Stiehl, H.-S. (1998) Investigation of parallel and globally convergent iterative schemes for nonlinear variational image smoothing and segmentation. In Proc. IEEE Int. Conf. Image Proc., Chicago, Oct. 4-7.
    • (1998) Proc. IEEE Int. Conf. Image Proc.
    • Heers, J.1    Schnörr, C.2    Stiehl, H.-S.3
  • 20
    • 84889116246 scopus 로고    scopus 로고
    • Investigating a class of iterative schemes and their parallel implementation for nonlinear variational image smoothing and segmentation
    • To appear
    • Heers, J., Schnörr, C. & Stiehl, H.-S. Investigating a class of iterative schemes and their parallel implementation for nonlinear variational image smoothing and segmentation. IEEE Trans. Image Processing. To appear.
    • IEEE Trans. Image Processing
    • Heers, J.1    Schnörr, C.2    Stiehl, H.-S.3
  • 21
    • 0032026465 scopus 로고    scopus 로고
    • Efficient and reliable schemes for nonlinear diffusion filtering
    • Weickert, J., ter Haar Romeny, B. & Viergever, M.A. (1998) Efficient and reliable schemes for nonlinear diffusion filtering. IEEE Trans. Image Proc. 7(3): 398-410.
    • (1998) IEEE Trans. Image Proc. , vol.7 , Issue.3 , pp. 398-410
    • Weickert, J.1    Ter Haar Romeny, B.2    Viergever, M.A.3
  • 23
    • 84889117478 scopus 로고    scopus 로고
    • Relations between regularization and diffusion filtering
    • Scherzer, O. & Weickert, J. (1999) Relations between regularization and diffusion filtering. J. of Math. Imag. and Vision 18(6): 453-466.
    • (1999) J. of Math. Imag. and Vision , vol.18 , Issue.6 , pp. 453-466
    • Scherzer, O.1    Weickert, J.2
  • 25
    • 0004893038 scopus 로고    scopus 로고
    • Variational methods for adaptive image smoothing and segmentation
    • Jähne, B., Haußecker, H. & Geißler, P. (eds), San Diego: Academic Press
    • Schnörr, C. (1999) Variational methods for adaptive image smoothing and segmentation. In: Jähne, B., Haußecker, H. & Geißler, P. (eds), Handbook on Computer Vision and Applications: Signal Processing and Pattern Recognition, Vol. 2. San Diego: Academic Press, pp. 451-484.
    • (1999) Handbook on Computer Vision and Applications: Signal Processing and Pattern Recognition , vol.2 , pp. 451-484
    • Schnörr, C.1
  • 27
    • 0026201666 scopus 로고
    • A common framework for image segmentation
    • Geiger, D. & Yuille, A. (1991) A common framework for image segmentation. Int. J. of Comp. Vision 6(3): 227-243.
    • (1991) Int. J. of Comp. Vision , vol.6 , Issue.3 , pp. 227-243
    • Geiger, D.1    Yuille, A.2
  • 28
    • 0030194054 scopus 로고    scopus 로고
    • On the unification of line processes, outlier rejection, and robust statistics with applications in early vision
    • Black, M.J. & Rangarajan, A. (1996) On the unification of line processes, outlier rejection, and robust statistics with applications in early vision. Int. J. of Comp. Vision 19(1): 57-91.
    • (1996) Int. J. of Comp. Vision , vol.19 , Issue.1 , pp. 57-91
    • Black, M.J.1    Rangarajan, A.2
  • 29
    • 0032073782 scopus 로고    scopus 로고
    • A study of a convex variational diffusion approach for image segmentation and feature extraction
    • Schnörr, C. (1998) A study of a convex variational diffusion approach for image segmentation and feature extraction. J. of Math. Imag. and Vision 8(3): 271-292.
    • (1998) J. of Math. Imag. and Vision , vol.8 , Issue.3 , pp. 271-292
    • Schnörr, C.1
  • 30
    • 0025465145 scopus 로고
    • Scale space and edge detection using anisotropic diffusion
    • Perona, P. & Malik, J. (1990) Scale space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12: 629-639.
    • (1990) IEEE Trans. Pattern Anal. Mach. Intell. , vol.12 , pp. 629-639
    • Perona, P.1    Malik, J.2
  • 31
    • 0026821645 scopus 로고
    • Image selective smoothing and edge detection by nonlinear diffusion
    • Cattè, F., Lions, P.-L., Morel, J.-M. & Coll, T. (1992) Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal. 29: 182-193.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 182-193
    • Cattè, F.1    Lions, P.-L.2    Morel, J.-M.3    Coll, T.4
  • 33
    • 0345589196 scopus 로고
    • Convergence of a method for solving the magnetostatic filed in nonlinear media
    • Kačur, J., Nečas, J., Polák, J. & Souček, J. (1968) Convergence of a method for solving the magnetostatic filed in nonlinear media. Aplikace Matematiky, 13: 456-465.
    • (1968) Aplikace Matematiky , vol.13 , pp. 456-465
    • Kačur, J.1    Nečas, J.2    Polák, J.3    Souček, J.4
  • 36
    • 0003022791 scopus 로고    scopus 로고
    • A coarsening finite element strategy in image selective smoothing
    • Bänsch, E. & Mikula, K. (1997) A coarsening finite element strategy in image selective smoothing. Computation and Visualization in Science, 1: 53-61.
    • (1997) Computation and Visualization in Science , vol.1 , pp. 53-61
    • Bänsch, E.1    Mikula, K.2
  • 37
    • 84948187503 scopus 로고    scopus 로고
    • An adaptive finite element method for large scale image processing
    • Nielsen, M., Johansen, P., Olsen, O.F. & Weickert, J. (eds), Berlin: Springer
    • Preußer, T. & Rumpf, M. (1999) An adaptive finite element method for large scale image processing. In: Nielsen, M., Johansen, P., Olsen, O.F. & Weickert, J. (eds), Scale-Space Theories in Computer Vision, Vol. 1682 of Lect. Not. Comp. Sci. Berlin: Springer, pp. 223-234.
    • (1999) Scale-Space Theories in Computer Vision, Vol. 1682 of Lect. Not. Comp. Sci. , vol.1682 , pp. 223-234
    • Preußer, T.1    Rumpf, M.2
  • 39
    • 0033237787 scopus 로고    scopus 로고
    • Nonlinear multiscale analysis of 3D echocardiographic sequences. IEEE Trans
    • Sarti, A., Mikula, K. & Sgallari, F. (1999) Nonlinear multiscale analysis of 3D echocardiographic sequences. IEEE Trans. Medical Imaging 18(6): 453-466.
    • (1999) Medical Imaging , vol.18 , Issue.6 , pp. 453-466
    • Sarti, A.1    Mikula, K.2    Sgallari, F.3
  • 40
    • 70350504025 scopus 로고
    • Splitting and alternating direction methods
    • Ciarlet, P.G. & Lions, J.-L. (eds), Amsterdam: North Holland
    • Marchuk, G.I. (1990) Splitting and alternating direction methods. In: Ciarlet, P.G. & Lions, J.-L. (eds), Handbook of numerical analysis, Vol. I. Amsterdam: North Holland, pp. 197-462.
    • (1990) Handbook of Numerical Analysis , vol.1 , pp. 197-462
    • Marchuk, G.I.1
  • 41
    • 0006535226 scopus 로고    scopus 로고
    • Nonlinear diffusion scale-spaces: From the continuous to the discrete setting
    • Berger, M.-O., Deriche, R., Herlin, I., Jaffré, J. & Morel, J.-M. (eds), London: Springer
    • Weickert, J. (1996) Nonlinear diffusion scale-spaces: From the continuous to the discrete setting. In: Berger, M.-O., Deriche, R., Herlin, I., Jaffré, J. & Morel, J.-M. (eds), ICAOS '96: Images, wavelets and PDEs, Lecture Notes in Control and Information Sciences, Vol. 219. London: Springer, pp. 111-118.
    • (1996) ICAOS '96: Images, Wavelets and PDEs, Lecture Notes in Control and Information Sciences , vol.219 , pp. 111-118
    • Weickert, J.1
  • 44
    • 0003413672 scopus 로고
    • University of Tennessee, Knoxville, Tennessee
    • Message Passing Interface Forum. (1995) MPI: A Message-Passing Interface Standard. University of Tennessee, Knoxville, Tennessee.
    • (1995) MPI: A Message-Passing Interface Standard


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.