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International Journal of Biomedical Imaging
Volume 2006, Article ID 87419, 7 pages
http://dx.doi.org/10.1155/IJBI/2006/87419

A Multiresolution PDE-Based Deformable Surface for Medical Imaging Applications

Computer Graphics and Image Understanding Lab, Department of Computer Science, College of Engineering, University of Missouri-Columbia, Columbia 65211-2060, MO, USA

Received 31 July 2005; Revised 19 December 2005; Accepted 20 December 2005

Academic Editor: Guowei Wei

Copyright © 2006 Ye Duan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Kass, A. Witkin, and D. Terzopoulos, “Snakes: active contour models,” International Journal of Computer Vision, vol. 1, no. 4, pp. 321–331, 1988. View at Publisher · View at Google Scholar
  2. L. D. Cohen and I. Cohen, “Finite-element methods for active contour models and balloons for 2-D and 3-D images,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 15, no. 11, pp. 1131–1147, 1993. View at Publisher · View at Google Scholar
  3. W. E. Lorensen and H. E. Cline, “Marching cubes: a high resolution 3D surface construction algorithm,” in Proceedings of the 14th Annual Conference on Computer Graphicss (SIGGRAPH '87), Computer Graphics, pp. 163–169, Anaheim, Calif, USA, July 1987.
  4. D. Terzopoulos, A. Witkin, and M. Kass, “Symmetry-seeking models and 3D object reconstruction,” International Journal of Computer Vision, vol. 1, no. 3, pp. 211–221, 1987. View at Publisher · View at Google Scholar
  5. R. Malladi, J. A. Sethian, and B. C. Vemuri, “Shape modeling with front propagation: a level set approach,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 17, no. 2, pp. 158–175, 1995. View at Publisher · View at Google Scholar
  6. V. Caselles, R. Kimmel, G. Sapiro, and C. Sbert, “Minimal surfaces based object segmentation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 19, no. 4, pp. 394–398, 1997. View at Publisher · View at Google Scholar
  7. G. Sapiro, Geometric Partial Differential Equations and Image Analysis, Cambridge University Press, New York, NY, USA, 2001.
  8. J. A. Sethian, Level Set Methods and Fast Marching Methods, Cambridge University Press, Cambridge, UK, 2nd edition, 1999.
  9. T. McInerney and D. Terzopoulos, “Topologically adaptable snakes,” in Proceedings of the 5th International Conference on Computer Vision (ICCV '95), pp. 840–845, Cambridge, Mass, USA, June 1995.
  10. T. McInerney and D. Terzopoulos, “Topology adaptive deformable surfaces for medical image volume segmentation,” IEEE Transactions on Medical Imaging, vol. 18, no. 10, pp. 840–850, 1999. View at Publisher · View at Google Scholar
  11. J.-O. Lachaud and A. Montanvert, “Deformable meshes with automated topology changes for coarse-to-fine three-dimensional surface extraction,” Medical Image Analysis, vol. 3, no. 2, pp. 187–207, 1999. View at Publisher · View at Google Scholar
  12. Y. Duan, L. Yang, H. Qin, and D. Samaras, “Shape reconstruction from 3D and 2D data using PDE-based deformable surfaces,” in Proceedings of the 8th European Conference on Computer Vision (ECCV '04), vol. 3023 of Lecture Notes in Computer Science, pp. 238–251, Prague, Czech Republic, May 2004.
  13. Y. Duan, J. Hua, and H. Qin, “Interactive shape modeling using lagrangian surface flow,” The Visual Computer, vol. 21, no. 5, pp. 279–288, 2005. View at Publisher · View at Google Scholar
  14. C. Loop, “Smooth subdivision surfaces based on triangles,” M. S. thesis, Department of Mathematics, University of Utah, Salt Lake City, Utah, USA, August 1987.
  15. M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr, “Implicit fairing of irregular meshes using diffusion and curvature flow,” in Proceedings of the 26th International Conference on Computer Graphics and Interactive Techniques (SIGGRAPH '99), Computer Graphics, pp. 317–324, Los Angeles, Calif, USA, August 1999.
  16. L. Kobbelt, T. Bareuther, and H.-P. Seidel, “Multiresolution shape deformations for meshes with dynamic vertex connectivity,” in Proceedings of the 21st Annual Conference of the European Association for Computer Graphics (Eurographics '00), pp. 249–260, Interlaken, Switzerland, August 2000.