Extraction of the intercellular skeleton from 2D images of embryogenesis using eikonal equation and advective subjective surface method

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5567 LNCS, Issue , 2009, Pages 38-49

  Bourgine, Paul ^a   Frolkovič, Peter ^b   Mikula, Karol ^b   Peyriéras, Nadine ^c   Remešíková, Mariana ^b  

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

^b SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

^c CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

2D IMAGES; AUTOMATIC DETECTION; CLOSED CURVE; DISTANCE FUNCTIONS; EFFICIENT METHOD; EIKONAL EQUATION; MICROSCOPE IMAGES; SEGMENTATION PROCESS; SIGNED DISTANCE FUNCTION; SURFACE EQUATION; SURFACE METHODS; TEST EXAMPLES; VELOCITY FIELD; ZEBRAFISH EMBRYOS;

CELL MEMBRANES; COMPUTER VISION; DIFFERENTIAL EQUATIONS; GEOMETRICAL OPTICS; GRAPH THEORY; TWO DIMENSIONAL;

SET THEORY;

EID: 69049088060     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-02256-2_4     Document Type: Conference Paper

References (8)

1. Frolkovič, P., Mikula, K., Peyriéras, N., Sarti, A.: A counting number of cells and cell segmentation using advection-diffusion equations. Kybernetika 43(6), 817-829 (2007)
2. Mikula, K., Peyriéras, N., Remešíková, M., Sarti, A.: 3D embryogenesis image segmentation by the generalized subjective surface method using the finite volume technique. In: Proceedings of FVCA5 - 5th International Symposium on Finite Volumes for Complex Applications. Hermes Publ., Paris (2008)
3. Rouy, E., Tourin, A.: Viscosity solutions approach to shape-from-shading. SIAM Journal on Numerical Analysis 29(3), 867-884 (1992)
4. Sarti, A., Malladi, R., Sethian, J.A.: Subjective Surfaces: A Method for Completing Missing Boundaries. Proc. Nat. Acad. Sci. 12(97), 6258-6263 (2000)
5. Sethian, J.A.: Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry. In: Fluid Mechanics, Computer Vision, and Material Science. Cambridge University Press, New York (1999)
6. Tassy, O., Daian, F., Hudson, C., Bertrandt, V., Lemaire, P.: A quantitative approach to the study of the cell shapes and interactions during early chordate embryogenesis. Currrent Biology 16, 345-358 (2006)
7. Zhao, H.-K.: Fast sweeping method for eikonal equations. Mathematics of Computation 74, 603-627 (2005)
8. Zhao, H.-K., Osher, S., Fedkiw, R.: Fast surface reconstruction using the level set method. In: Proc. IEEE workshop on variational and level set methods - VLSM 2001, Vancouer, pp. 194-201 (2001)