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Extracting Boundary Surface of Arbitrary Topology from Volumetric Datasets

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Volume Graphics 2001

Part of the book series: Eurographics ((EUROGRAPH))

Abstract

This paper presents a novel, powerful reconstruction algorithm that can recover correct shape geometry as well as its unknown topology from arbitrarily complicated volumetric datasets. The algorithm starts from a simple seed model (of genus zero) that can be initialized automatically without user intervention. The deformable behavior of the model is then governed by a locally defined objective function associated with each vertex of the model. Through the numerical computation of function optimization, the algorithm can adaptively subdivide the model geometry, automatically detect self-collision of the model, properly modify its topology (because of the occurrence of self-collision), continuously evolve the model towards the object boundary, and reduce fitting error and improve fitting quality via global subdivision.

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References

  1. V. Caselles, R. Kimmel, and G. Sapiro. Geodisc active contours. In Proceedings of the Fifth International Conference on Computer Vision (ICCV’95), pages 694–699, June 1995.

    Google Scholar 

  2. L.D. Cohen and I. Cohen. Finite element methods for active contour models and balloons for 2D and 3D images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 15 (11), pages 1131–1147, November 1993.

    Article  Google Scholar 

  3. H. Fuchs, Z.M. Kedem, and S.P. Uselton. Optimal surface reconstruction from planar contours. Communication of ACM, 20 (10), pages 693–702, 1977.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Kass, A. Witkin, and D. Terzopoulos. Snakes: Active contour models. International Journal of Computer Vision, 1 (4), pages 321–331, 1988.

    Article  Google Scholar 

  5. Charles Loop. Smooth subdivision surfaces based on triangles. Master’s thesis, Department of Mathematics, University of Utah, August 1987.

    Google Scholar 

  6. W.E. Lorensen and H.E. Cline. Marching cubes: A high resolution 3d surface construction algorithm. Computer Graphics (SIGGRAPH’87 Proceedings), pages 163–169, July 1987.

    Google Scholar 

  7. R. Malladi, J. Sethian, and B. Vemuri. Shape modeling with front propagation: A level set approach. IEEE Transactions on Pattern Analysis and Machine Intelligence, 17(2), pages 158–175, February, 1995.

    Article  Google Scholar 

  8. C. Mandai, H. Qin, and B.C. Vemuri. A novel FEM-based dynamic framework for subdivision surfaces. In Proceedings of Fifth ACM Symposium on Solid Modeling and Applications (Solid Modeling’99), pages 191–202, Ann Arbor, Michigan, June 1999.

    Google Scholar 

  9. L. Markosian, J. M. Cohen, T. Crulli, and J. F. Hughes. Skin: a constructive approach to modeling free-form shapes. Computer Graphics (SIGGRAPH’99 Proceedings), pages 393–400, August 1999.

    Google Scholar 

  10. T. McInerney and D. Terzopoulos. A dynamic finite element surface model for segmentation and tracking in multidimensional medical images with applications to cardiac 4D image analysis. Computerized Medical Imaging and Graphics, 19 (1), pages 69–83, 1995.

    Article  Google Scholar 

  11. T. McInerney and D. Terzopoulos. Topologically adaptable snakes. In Proceedings of the Fifth International Conference on Computer Vision (ICCV’95), pages 840–845, June 1995.

    Google Scholar 

  12. J.V. Miller. On GDM’s: Geometrically deformed models for the extraction of closed shapes from volume data. Masters thesis, Rensselaer Polytechnic Institute, Troy, New York, December 1990.

    Google Scholar 

  13. J.V. Miller, D.E. Breen, W.E. Lorensen, R.M. O’Bara, and M.J. Wozny. Geometric deformed models: a method for extracting closed geometric models from volume data. Computer Graphics (SIGGRAPH’91 Proceedings), pages 217–226, July 1991.

    Google Scholar 

  14. H. Qin, C. Mandai, and B.C. Vemuri. Dynamic Catmull-Clark subdivision surfaces. IEEE Transactions on Visualization and Computer Graphics, 4 (3): 215–229, July 1998.

    Article  Google Scholar 

  15. R. Szeliski, D. Tonnesen, and D. Terzopoulos. Modeling surfaces of arbitrary topology with dynamic particles. In IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR’93), pages 82–87, June 1993

    Google Scholar 

  16. D. Terzopoulos, and K. Fleischer. Deformable models. The Visual Computer 4 (6), pages 306–331, 1988.

    Article  Google Scholar 

  17. D. Terzopoulos, and D. Metaxas. Dynamic 3D models with local and global deformations: Deformable superquadrics. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13 (7), pages 703–714, July 1991.

    Article  Google Scholar 

  18. D. Terzopoulos, A. Witkin, and M. Kass. Symmetry-seeking models and 3d object reconstruction. International Journal of Computer Vision, 1 (3), pages 211–221, 1987.

    Article  Google Scholar 

  19. W. Welch and A. Witkin. Free-form shape design using triangulated surfaces. Computer Graphics (SIGGRAPH’94 Proceedings), pages 247–256, July 1994.

    Google Scholar 

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© 2001 Springer-Verlag/Wien

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Duan, Y., Qin, H. (2001). Extracting Boundary Surface of Arbitrary Topology from Volumetric Datasets. In: Mueller, K., Kaufman, A.E. (eds) Volume Graphics 2001. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6756-4_16

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  • DOI: https://doi.org/10.1007/978-3-7091-6756-4_16

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83737-5

  • Online ISBN: 978-3-7091-6756-4

  • eBook Packages: Springer Book Archive

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