Skip to main content

A Metric for Automatic Hole Characterization

  • Conference paper
Proceedings of the 19th International Meshing Roundtable

Summary

The correct repair of three-dimensional models is still an open research problem, since acquiring processes (methods and technology) still have limitations. Although a wide range of approaches have been proposed, the main limitation is that user intervention is required to decide which regions of the surface should be corrected. We propose an automatic method for hole characterization enabling the classification of real and false anomalies without user intervention by using an irregularity measure based on two geometrical estimations: the torsion contour’s estimation uncertainty, and an approximation of geometrical shape measure surrounding the hole.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

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. Curless, B.: New Methods for Surface Reconstruction from Range Images. Stanford University, Stanford (1997)

    Google Scholar 

  2. Kumar, A., et al.: A Hole-filling Algorithm Using Non-uniform Rational B-splines, pp. 169–182. Springer, Heidelberg (2007)

    Google Scholar 

  3. Turk, G., Levoy, M.: Zippered polygon meshes from range images, pp. 311–318. ACM, New York (1994)

    Google Scholar 

  4. Sun, X., et al.: Noise in 3D laser range scanner data. In: IEEE International Conference on Shape Modeling and Applications, SMI 2008, pp. 37–45 (2008)

    Google Scholar 

  5. Carr, J.C., et al.: Smooth surface reconstruction from noisy range data, p. 119. ACM Press, New York (2003)

    Google Scholar 

  6. Liepa, P.: Filling holes in meshes, pp. 200–205. Eurographics Association (2003)

    Google Scholar 

  7. Dorai, C., et al.: Registration and Integration of Multiple Object Views for 3D Model Construction. IEEE Transactions on Pattern Analysis and Machine Intelligence 20, 83–89 (1998)

    Article  Google Scholar 

  8. Davis, J., et al.: Filling Holes in Complex Surfaces Using Volumetric Diffusion, pp. 428–438 (2002)

    Google Scholar 

  9. Wang, J., Oliveira, M.M.: A hole-filling strategy for reconstruction of smooth surfaces in range images. In: XVI Brazilian Symposium on Computer Graphics and Image Processing. SIBGRAPI 2003, pp. 11–18 (2003)

    Google Scholar 

  10. Podolak, J., Rusinkiewicz, S.: Atomic volumes for mesh completion, p. 33. Eurographics Association (2005)

    Google Scholar 

  11. Bischoff, S., Pavic, D., Kobbelt, L.: Automatic restoration of polygon models. ACM Trans. Graph. 24, 1332–1352 (2005)

    Article  Google Scholar 

  12. Guo, T., et al.: Filling Holes in Meshes and Recovering Sharp Edges. In: IEEE International Conference on Systems, Man and Cybernetics, SMC 2006, vol. 6, pp. 5036–5040 (2006)

    Google Scholar 

  13. Bendels, G.H., Schnabel, R., Klein, R.: Fragment-based Surface Inpainting. In: Desbrun, M., Pottmann, H. (eds.) The Eurographics Association (2005)

    Google Scholar 

  14. Branch, J., Prieto, F., Boulanger, P.: Automatic Hole-Filling of Triangular Meshes Using Local Radial Basis Function, pp. 727–734. IEEE Computer Society, Los Alamitos (2006)

    Google Scholar 

  15. Zhao, W., Gao, S., Lin, H.: A robust hole-filling algorithm for triangular mesh. Vis. Comput. 23, 987–997 (2007)

    Article  Google Scholar 

  16. Curless, B., Levoy, M.: A volumetric method for building complex models from range images, pp. 303–312. ACM Press, New York (1996)

    Google Scholar 

  17. Ju, T.: Robust repair of polygonal models, pp. 888–895. ACM, New York (2004)

    Google Scholar 

  18. Chen, C.-Y., Cheng, K.-Y.: A Sharpness-Dependent Filter for Recovering Sharp Features in Repaired 3D Mesh Models. IEEE Transactions on Visualization and Computer Graphics 14, 200–212 (2008)

    Article  Google Scholar 

  19. Besl, P.J.: The free-form surface matching problem, in Machine Vision for Three-Dimensional Scenes. Academic Press, London (1990)

    Google Scholar 

  20. Koenderink, J.J., van Doorn, A.J.: Surface shape and curvature scales. Image Vision Comput. 10(8), 557–565 (1992) ISSN:0262-8856

    Article  Google Scholar 

  21. do Carmo, M.: Differential geometry of curves and surfaces. Prentice Hall, Englewood Cliffs (1976)

    MATH  Google Scholar 

  22. Lewiner, T., Gomes Jr., J.D., Lopes, H., Craizer, M.: Curvature and torsion estimators based on parametric curve fitting. Computers & Graphics 29(5), 641–655 (2005)

    Article  Google Scholar 

  23. Lancaster, P., Salkauskas, K.: Surfaces generated by moving least squares methods. Math. Comp. 37(155), 141–158 (1981)

    MATH  MathSciNet  Google Scholar 

  24. Lancaster, P., Salkauskas, K.: Curve and Surface Fitting: An Introduction. Academic Press, London (2002)

    Google Scholar 

  25. Ariel, C.: Lectures on Probability, Entropy, and Statistical Physics. Albany: Department of Physics, University at Albany (2008) 0808.0012

    Google Scholar 

  26. Pauly, M., Gross, M., Kobbelt, L.P.: Efficient simplification of point-sampled surfaces, pp. 163–170. IEEE Computer Society, Los Alamitos (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sanchez T., G., Branch, J.W., Atencio, P. (2010). A Metric for Automatic Hole Characterization. In: Shontz, S. (eds) Proceedings of the 19th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15414-0_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-15414-0_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15413-3

  • Online ISBN: 978-3-642-15414-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics