3-D zebrafish embryo image filtering by nonlinear partial differential equations

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings

Volumn , Issue , 2007, Pages 6251-6254

  Rizzi, Barbara ^a   Campana, Matteo ^a   Zanella, Cecilia ^a   Melani, Camilo ^a   Čunderlik, Robert ^b   Krivá, Zuzana ^b   Bourgine, Paul ^c,d,e   Mikula, Karol ^b   Peyriéras, Nadine ^f   Sarti, Alessandro ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

^c Centre de Recherche en Epistemologie Appliquee Ecole Polytechnique   (France)

^d De Paris Ile de France

^e European Complex Systems Society

^f CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EDGE DETECTION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EMBRYOGENESIS; IMAGE FILTERING;

IMAGE ANALYSIS;

EID: 57649228966     PISSN: 05891019     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IEMBS.2007.4353784     Document Type: Conference Paper

References (20)

1. S.Megason and S.Fraser, "Digitizing life at the level of the cell: high-performance laser-scanning microscopy and image analysis for in toto imaging of development," Mech. Dev., vol.120, pp.1407-1420, 2003.
2. J.J.Koenderink, "The structure of images", Bio!. Cybern., vol. 50, 1984, pp. 363-370.
3. A.P.Witkin, "Scale-space filtering", Proc. Eight Internat. Conf. on Artificial Intelligence, vol. 2, 1983, pp.1019-1022.
4. P.Perona, J.Malik, "Scale space and edge detection using anisotropic diffusion", Proc. IEEE Computer Society Workshop on Computer Vision, 1990.
5. V.Catté et al., "Image selective smoothing and edge detection by nonlinear diffusion", SIAM J. Numer. Anal., vol.29, 1992, pp.182-193.
6. J.Kačur, K.Mikula, "Solution of nonlinear diffusion appearing in image smoothing and edge detection", Applied Numerical Mathematics, vol. 17, 199, pp.47-59.
7. K.Mikula, N.Ramarosy, "Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing", Numerische Mathematik, vol.89, No.3, 2001, pp.561-590
8. Z.Kriva, K.Mikula, "An adaptive finite volume scheme for solving nonlinear diffusion equations in image processing", Journal for Visual Communication and Image Representation, vol.13, No. 1/2, 2002, pp.22-35
9. L.Alvarez et al., "Image selective smoothing and edge detection by nonlinear diffusion II", SIAM J. Numer. Anal, vol.29, 1992, pp.845-866.
10. V.Caselles, R.Kimmel, G.Sapiro, "Geodesic active contours", International Journal of Computer Vision, vol.22, 1997, pp.61-79.
11. S.Kichenassamy, A.Kumar, P.Olver, A.Tannenbaum, A.Yezzi, "Conformal curvature flows: from phase transitions to active vision", Arch. Rational Mech. Anal., vol.134, 1996, pp.275-301
12. Y.Chen, B.C.Vemuri, L.Wang, "Image denoising and segmentation via nonlinear diffusion", Computers and Mathematics with Applications, vol.39, 2000, pp.131-149.
13. R.Malladi, J.Sethian, "Level Set Methods for curvature flow, image enhancement and shape recovery in medical images" Visualization and Mathematics: Experiments, Simulations and Environments, Eds. H. C. Hege, K. Polthier, pp.329-345, Springer Verlag, Heildelberg, 1997.
14. C.Zanella et al., "Segmentation of Cells from 3D Confocal Images of Live Zebrafish Embryo", to appear in EMBS 2007 Proceedings.
15. C.Melani et al., "Cells Tracking in a Live Zebrafish Embryo", to appear in EMBS 2007 Proceedings.
16. J.Kačur, K.Mikula, "Slow and fast diffusion effects in image processing", Computing and Visualization in Science, vol.3, no.4, 2001, pp. 185-195.
17. A.Sarti, C.Ortiz de Solorzano, S.Lockett and R.Malldi, "A unified geometric model for 3D confocal image analysis in cytology", IEEE Trans.On Biomedical Engineering, vol.47, 2000, pp.1600-1609.
18. Z.Kriva, K.Mikula, N.Peyrieras, B.Rizzi, A.Sarti, "3D early embryogenesys image filtering by nonlinear partial differential equations", submitted
19. L.Alvarez et al., "Axioms and Fundamental. Equations of Image Processing", Archive for Rat. Mech. Anal, vol.123, 1993, pp.200-257.
20. J.W.Zhang, G.Q.Han and Y.Wo, "Image Registration based on Generalized and Mean Hausdorff Distances" Proceedings of the Fourth International Conference on Machine Learning and Cybernetics, Guangzhou, 18-21 August 2005.