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TransforMesh : A Topology-Adaptive Mesh-Based Approach to Surface Evolution

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Computer Vision – ACCV 2007 (ACCV 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4844))

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Abstract

Most of the algorithms dealing with image based 3-D reconstruction involve the evolution of a surface based on a minimization criterion. The mesh parametrization, while allowing for an accurate surface representation, suffers from the inherent problems of not being able to reliably deal with self-intersections and topology changes. As a consequence, an important number of methods choose implicit representations of surfaces, e.g. level set methods, that naturally handle topology changes and intersections. Nevertheless, these methods rely on space discretizations, which introduce an unwanted precision-complexity trade-off. In this paper we explore a new mesh-based solution that robustly handles topology changes and removes self intersections, therefore overcoming the traditional limitations of this type of approaches. To demonstrate its efficiency, we present results on 3-D surface reconstruction from multiple images and compare them with state-of-the art results.

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References

  1. McInerney, T., Terzopoulos, D.: T-snakes: Topology adaptive snakes. Medical Image Analysis 4(2), 73–91 (2000)

    Article  Google Scholar 

  2. Lachaud, J.O., Taton, B.: Deformable model with adaptive mesh and automated topology changes. In: Proceedings of the Fourth International Conference on 3-D Digital Imaging and Modeling (2003)

    Google Scholar 

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

    MATH  Google Scholar 

  4. Osher, S., Senthian, J.: Front propagating with curvature dependent speed: algorithms based on the Hamilton-Jacobi formulation. Journal of computational Physics 79(1), 12–49 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  5. Jung, W., Shin, H., Choi, B.K.: Self-intersection removal in triangular mesh offsetting. Computer-Aided Design and Applications 1(1-4), 477–484 (2004)

    Google Scholar 

  6. Furukawa, Y., Ponce, J.: Accurate, dense and robust multi-view stereopsis. CVPR (2007)

    Google Scholar 

  7. Pons, J.P., Keriven, R., Faugeras, O.: Multi-view stereo reconstruction and scene flow estimation with a global image-based matching score. International Journal of Computer Vision 72(2), 179–193 (2007)

    Article  Google Scholar 

  8. Hernandez, C.E., Schmitt, F.: Silhouette and stereo fusion for 3-D object modeling. Computer Vision and Image Understanding 96(3), 367–392 (2004)

    Article  Google Scholar 

  9. Seitz, S.M., Curless, B., Diebel, J., Scharstein, D., Szeliski, R.: A comparison and evaluation of multi-view stereo reconstruction algorithms. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 1, pp. 519–526. IEEE Computer Society Press, Los Alamitos (2006)

    Google Scholar 

  10. Kettner, L., Meyer, A., Zomorodian, A.: Intersecting sequences of dD iso-oriented boxes. In: Board, C.E. (ed.) CGAL-3.2 User and Reference Manual (2006)

    Google Scholar 

  11. Zomorodian, A., Edelsbrunner, H.: Fast software for box intersection. International Journal of Compational Geometry and Applications (12), 143–172 (2002)

    Google Scholar 

  12. Hert, S., Seel, M.: dD convex hulls and delaunay triangulations. In: Board, C.E. (ed.) CGAL-3.2 User and Reference Manual (2006)

    Google Scholar 

  13. Gueziec, A., Taubin, G., Lazarus, F., Horn, B.: Cutting and stitching: Converting sets of polygons to manifold surfaces. IEEE Transaction on Visualization and Computer Graphics 7(2), 136–151 (2001)

    Article  Google Scholar 

  14. Shin, H., Park, J.C., Choi, B.K., Chung, Y.C., Rhee, S.: Efficient topology construction from triangle soup. In: Proceedings of the Geometric Modeling and Processing (2004)

    Google Scholar 

  15. Franco, J.S., Boyer, E.: Exact polyhedral visual hulls. In: British Machine Vision Conference, vol. 1, pp. 329–338 (2003)

    Google Scholar 

  16. Board, C.E.: CGAL-3.2 User and Reference Manual (2006)

    Google Scholar 

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Yasushi Yagi Sing Bing Kang In So Kweon Hongbin Zha

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© 2007 Springer-Verlag Berlin Heidelberg

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Zaharescu, A., Boyer, E., Horaud, R. (2007). TransforMesh : A Topology-Adaptive Mesh-Based Approach to Surface Evolution. In: Yagi, Y., Kang, S.B., Kweon, I.S., Zha, H. (eds) Computer Vision – ACCV 2007. ACCV 2007. Lecture Notes in Computer Science, vol 4844. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76390-1_17

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  • DOI: https://doi.org/10.1007/978-3-540-76390-1_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76389-5

  • Online ISBN: 978-3-540-76390-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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