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Identifying and Structuring Skeletal Noise

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Computational Science and Its Applications – ICCSA 2013 (ICCSA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7972))

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Abstract

A skeleton is a thin centered structure within an object, which describes its topology and its geometry. The medial surface is one of the most known and used skeleton formulation. As other formulations, it contains noise, which complexifies its structure with useless parts. The connectivity of a skeleton is then unpredictable due to these useless parts. It can be a problem to segment the skeleton into logical components for example. We present here a technique whose purpose is to identify and structure such skeletal noise. It only requires a skeleton as input, making this work independent from any skeletonization process used to obtain the skeleton. We show in this paper that we significantly reduce the skeletal noise and produce clean skeletons that still capture every aspects of a shape. Those clean skeletons have the same local topology as the input ones, but with a clearer connectivity.

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References

  1. Amenta, N., Choi, S., Kolluri, R.K.: The power crust. In: 6th ACM Symposium on Solid Modeling and Applications, pp. 249–266. ACM, New York (2001)

    Google Scholar 

  2. Amenta, N., Choi, S., Kolluri, R.K.: The power crust, unions of balls, and the medial axis transform. Comput. Geom. Theory Appl. 19(2-3), 127–153 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  3. Aspert, N., Santa-Cruz, D., Ebrahimi, T.: Mesh: Measuring errors between surfaces using the hausdorff distance. In: IEEE International Conference on Multimedia and Expo., vol. I, pp. 705–708 (2002)

    Google Scholar 

  4. Au, O.K.C., Tai, C.L., Chu, H.K., Cohen-Or, D., Lee, T.Y.: Skeleton extraction by mesh contraction. ACM Trans. Graph. 27, 44:1–44:10 (2008)

    Google Scholar 

  5. Aylward, S.R., Jomier, J., Weeks, S., Bullitt, E.: Registration and analysis of vascular images. International Journal of Computer Vision 55(2-3), 123–138 (2003)

    Article  Google Scholar 

  6. Blum, H.: A Transformation for Extracting New Descriptors of Shape. In: Models for the Perception of Speech and Visual Form, pp. 362–380. MIT Press, Cambridge (1967)

    Google Scholar 

  7. Boissonnat, J.D., Oudot, S.Y.: Provably good sampling and meshing of surfaces. Graphical Models 67, 405–451 (2005)

    Article  MATH  Google Scholar 

  8. Brady, M.J., Asada, H.: Smooth local symmetries and their implementations. International Journal of Robotic Research (1984)

    Google Scholar 

  9. Brandt, J.: Convergence and continuity criteria for discrete approximations of the continuous planar skeleton. Computer Vision, Graphics, and Image Processing: Image Understanding 59(1), 116–124 (1994)

    Article  Google Scholar 

  10. Chazal, F., Lieutier, A.: Stability and homotopy of a subset of the medial axis. In: 9th ACM Symposium on Solid Modeling and Applications, pp. 243–248. Eurographics Association, Aire-la-Ville, Switzerland (2004)

    Google Scholar 

  11. Cornea, N.D., Silver, D., Min, P.: Curve-skeleton properties, applications, and algorithms. IEEE Trans. on Visualization and Computer Graphics 13, 530–548 (2007)

    Article  Google Scholar 

  12. Delamé, T., Roudet, C., Faudot, D.: From a medial surface to a mesh. Computer Graphics Forum 31(5), 1637–1646 (2012)

    Article  Google Scholar 

  13. Dey, T.K., Zhao, W.: Approximating the medial axis from the voronoi diagram with a convergence guarantee. Algorithmica 38(1), 179–200 (2003)

    Article  MathSciNet  Google Scholar 

  14. Giesen, J., Miklos, B., Pauly, M., Wormser, C.: The scale axis transform. In: 25th Annual Symposium on Computational Geometry, pp. 106–115. ACM, New York (2009)

    Chapter  Google Scholar 

  15. Kruithof, N.G.H., Vegter, G.: Meshing skin surfaces with certified topology. In: 9th International Conference on Computer Aided Design and Computer Graphics, CAD-CG 2005, pp. 287–294. IEEE Computer Society (2005)

    Google Scholar 

  16. Leyton, M.: Symmetry–curvature duality. Computer Vision, Graphics, and Image Processing 38, 327–341 (1987)

    Article  MATH  Google Scholar 

  17. Miklos, B., Giesen, J., Pauly, M.: Discrete scale axis representations for 3d geometry. ACM Trans. Graph. 29 (2010)

    Google Scholar 

  18. Tagliasacchi, A., Zhang, H., Cohen-Or, D.: Curve skeleton extraction from incomplete point cloud. ACM Trans. Graph. 28, 71:1–71:9 (2009)

    Google Scholar 

  19. Tam, R., Heidrich, W.: Shape Simplification Based on the Medial Axis Transform. In: IEEE Visualization, pp. 481–488. IEEE Computer Society, Washington, DC (2003)

    Google Scholar 

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Delame, T., Roudet, C., Faudot, D. (2013). Identifying and Structuring Skeletal Noise. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2013. ICCSA 2013. Lecture Notes in Computer Science, vol 7972. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39643-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-39643-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39642-7

  • Online ISBN: 978-3-642-39643-4

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