Skip to main content

Conversion into Three-Dimensional Implicit Surface Representation from Topological Active Volumes Based Segmentation

  • Conference paper
Pattern Recognition and Image Analysis (IbPRIA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3522))

Included in the following conference series:

  • 2057 Accesses

Abstract

In the last few years, the advances in three-dimensional medical image processing have made possible operations like planning or simulation over real data. Different representations of structures or models have been proposed, being the implicit surfaces one of the most flexible models for processing. This paper introduces a new method for computing the implicit surfaces from the explicit representations of the objects segmented in three-dimensional images. This proposal is based on the approximation of the surfaces using distance functions and natural neighbor interpolation. The system has been tested over CT images of tibia and femur where the explicit representation has been extracted through a TAV model [1]. The results obtained show the suitability of the method for a correct representation of the target objects.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Barreira, N., Penedo, M.G.: Topological active volumes for segmentation and shape reconstruction of medical images. In: Campilho, A.C., Kamel, M.S. (eds.) ICIAR 2004. LNCS, vol. 3212, pp. 43–50. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Bloomenthal, J.: An implicit surface polygonizer. In: Graphics gems IV, pp. 324–349. Academic Press Professional, Inc., London (1994)

    Google Scholar 

  3. Boissonnat, J.D., Cazals, F.: Smooth Surface Reconstruction via Natural Neighbor Interpolation of Distance Functions. In: Proceedings of 16th Annual ACM Symposium on Computational Geometry, pp. 223–232 (2000)

    Google Scholar 

  4. Breen, D.E., Mauch, S., Whitaker, R.T., Mao, J.: 3D Metamorphosis between different types of geometric models. In: Eurographics 2001 Proceedings, September 2001, pp. 36–48. Blackwell Publishers, Malden (2001)

    Google Scholar 

  5. Duda, R.O., Hart, P.E.: Pattern classification and scene analysis. Wiley Interscience, Hoboken (1973)

    MATH  Google Scholar 

  6. Leboran, V., Dosil, R., Pardo, X.M.: Smooth Surface Reconstruction from Points and Normals using Implicit Surfaces. In: Actas del XIII Congreso Español de Informática Gráfica (CEIG 2003), pp. 203–216 (2003)

    Google Scholar 

  7. Osher, S., Fedkiw, R.: Level Set Methods and Dynamic Implicit Surfaces. Springer, Heidelberg (2003)

    MATH  Google Scholar 

  8. Chen, S., O’Brien, J.F., Shewchuk, J.R.: Interpolating and Approximating Implicit Surfaces from Polygon Soup. In: Proc. of ACM SIGGRAPH 2004 (2004)

    Google Scholar 

  9. Satherley, R., Jones, M.W.: Hybrid distance field computation for volumetric objects. In: Proceedings of the Joint IEEE TCVG and Eurographics Workshop, pp. 121–133 (2001)

    Google Scholar 

  10. Yngve, G., Turk, G.: Robust Creation of Implicit Surfaces from Polygonal Meshes. IEEE Transactions on Visualization and Computer Graphics 8(4), 346–359 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rouco, J., Barreira, N., Penedo, M.G., Pardo, X.M. (2005). Conversion into Three-Dimensional Implicit Surface Representation from Topological Active Volumes Based Segmentation. In: Marques, J.S., Pérez de la Blanca, N., Pina, P. (eds) Pattern Recognition and Image Analysis. IbPRIA 2005. Lecture Notes in Computer Science, vol 3522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11492429_8

Download citation

  • DOI: https://doi.org/10.1007/11492429_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26153-7

  • Online ISBN: 978-3-540-32237-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics