A discrete homotopic deformable model dealing with objects with different local dimensions

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

Volumn 1568, Issue , 1999, Pages 258-271

  Cointepas, Yann ^a   Bloch, Isabelle ^a   Garnero, Line ^b  

^a CNRS   (France)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; GEOMETRY; IMAGE PROCESSING;

CELLULAR COMPLEXES; DEFORMABLE MODELING; HOMOTOPIC; TOPOLOGICAL PROPERTIES;

TOPOLOGY;

EID: 22644449439     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-49126-0_20     Document Type: Conference Paper

References (16)

1. E. Artzy, G. Frieder, and G. T. Herman. The theory, design, implementation and evaluation of a three-dimensional surface detection algorithm. Computer Vision, Graphics and Image Processing: Graphical Models and Image Processing, 15:1–24, 1981.
2. Gilles Bertrand and Michel Couprie. Some structural properties of discrete surfaces. In Proceedings of DGCI’97, volume 1347 of LNCS, pages 113–124, 1997.
3. Gilles Bertrand and Grégoire Malandain. A new characterization of three-dimensional simple points. Pattern Recognition Letters, 15:169–175, February 1994.
4. Yann Cointepas, Isabelle Bloch, and Line Garnero. Cellular complexes: A tool for 3d homotopic segmentation in brain images. In Proceedings of ICIP’98, volume 3, pages 832–836, Chicago, 1998.
5. J. Françon. Discrete combinatorial surfaces. Computer Vision, Graphics and Image Processing: Graphical Models and Image Processing, 57:20–26, 1995.
6. Claude Godbillon. Eléments de topologie algébrique. Hermann, 1971.
7. Gabor T. Herman. Discrete multidimensional Jordan surfaces. Computer Vision, Graphics and Image Processing: Graphical Models and Image Processing, 54(6):507–515, 1992.
8. T. Y. Kong and A. Rozenfeld. Digital topology: Introduction and survey. Computer Vision, Graphics, and Image Processing, 48:357–393, 1989.
9. V. A. Kovalevsky. Discrete topology and contour definition. Pattern Recognition Letters, 2(5):281–288, 1984.
10. V. A. Kovalevsky. Finite topology as applied to image analysis. Computer Vision, Graphics, and Image Processing, 46:141–146, 1989.
11. Grégoire Malandain, Gilles Bertrand, and Nicolas Ayache. Topological segmentation of discrete surfaces. International Journal of Computer Vision, 10(2):183–197, 1993.
12. Réy Malgouyres. A definition of surfaces of Z3. In Conference on Discrete Geometry for Computer Imaging, pages 23–34, 1994.
13. D.G. Morgenthaler and A. Rosenfeld. Surfaces in three-dimensional images. Information and control, 51:227–247, 1981.
14. J. R. Munkers. Elements of Algebraic Topology. Addison-Wesley, Menlo Park. CA, 1984.
15. T. Pavlidis. Structural Pattern Recognition. Springer-Verlag, New York, 1977.
16. Y. F. Tsao and K. S. Fu. A parallel thinning algorithm for 3-d pictures. Computer Vision, Graphics, and Image Processing, 17:315–331, 1981.