[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

Adaptive Fourier-Based Surface Reconstruction

  • Conference paper
Geometric Modeling and Processing - GMP 2006 (GMP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4077))

Included in the following conference series:

  • 1531 Accesses

Abstract

In this paper, we combine Kazhdan’s FFT-based approach to surface reconstruction from oriented points with adaptive subdivision and partition of unity blending techniques. The advantages of our surface reconstruction method include a more robust surface restoration in regions where the surface bends close to itself and a lower memory consumption. The latter allows us to achieve a higher reconstruction accuracy than the original global approach. Furthermore, our reconstruction process is guided by a global error control achieved by computing the Hausdorff distance of selected input samples to intermediate reconstructions.

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

Access this chapter

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 71.50
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 89.99
Price includes VAT (United Kingdom)
  • Compact, lightweight 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. Amenta, N., Bern, M., Kamvysselis, M.: A new Voronoi-based surface reconstruction algorithm. In: Proceedings of ACM SIGGRAPH 1998, pp. 415–421 (1998)

    Google Scholar 

  2. Amenta, N., Choi, S., Kolluri, R.: The power crust. In: Proceedings of 6th ACM Symposium on Solid Modeling, pp. 249–260 (2001)

    Google Scholar 

  3. Boissonnat, J.-D.: Geometric structures for three-dimensional shape representation. ACM Transactions on Graphics 3(4), 266–286 (1984)

    Article  Google Scholar 

  4. Dey, T.K., Goswami, S.: Tight Cocone: A water-tight surface reconstructor. In: Proc. 8th ACM Sympos. Solid Modeling Applications, pp. 127–134 (2003)

    Google Scholar 

  5. Dey, T.K., Goswami, S.: Provable surface reconstruction from noisy samples. In: Proc. 20th ACM Sympos. Comput. Geom. (2004)

    Google Scholar 

  6. Mederos, B., Amenta, N., Velho, L., de Figueiredo, L.H.: Surface reconstruction from noisy point clouds. In: Eurographics Symposium on Geometry Processing 2005, pp. 53–62 (2005)

    Google Scholar 

  7. Schall, O., Belyaev, A.G., Seidel, H.-P.: Robust filtering of noisy scattered point data. In: Eurographics Symposium on Point-Based Graphics 2005, pp. 71–77 (2005)

    Google Scholar 

  8. Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Surface reconstruction from unorganized points. In: Proceedings of ACM SIGGRAPH 1992, pp. 71–78 (1992)

    Google Scholar 

  9. Carr, J.C., Beatson, R.K., Cherrie, J.B., Mitchell, T.J., Fright, W.R., McCallum, B.C., Evans, T.R.: Reconstruction and representation of 3D objects with radial basis functions. In: Proceedings of ACM SIGGRAPH 2001, pp. 67–76 (2001)

    Google Scholar 

  10. Dinh, H.Q., Turk, G., Slabaugh, G.: Reconstructing surfaces using anisotropic basis functions. In: International Conference on Computer Vision (ICCV) 2001, vol. 2, pp. 606–613 (2001)

    Google Scholar 

  11. Ohtake, Y., Belyaev, A.G., Seidel, H.P.: 3D scattered data approximation with adaptive compactly supported radial basis functions. In: Shape Modeling International 2004, Genova, Italy (2004)

    Google Scholar 

  12. Turk, G., Dinh, H.Q., O’Brien, J., Yngve, G.: Implicit surfaces that interpolate. In: Shape Modelling International 2001, Genova, Italy, pp. 62–71 (2001)

    Google Scholar 

  13. Ohtake, Y., Belyaev, A., Alexa, M., Turk, G., Seidel, H.P.: Multi-level partition of unity implicits. ACM Transactions on Graphics 22(3), 463–470 (2003); Proceedings of SIGGRAPH 2003

    Article  Google Scholar 

  14. Alexa, M., Behr, J., Cohen-Or, D., Fleishman, S., Silva, C.T.: Point set surfaces. In: IEEE Visualization 2001, pp. 21–28 (2001)

    Google Scholar 

  15. Amenta, N., Kil, Y.J.: Defining point-set surfaces. ACM Transactions on Graphics 23(3), 264–270 (2004); Proceedings of SIGGRAPH 2004

    Article  Google Scholar 

  16. Fleishman, S., Cohen-Or, D., Silva, C.T.: Robust moving least-squares fitting with sharp features. ACM Transactions on Graphics 24(3), 544–552 (2005); Proceedings of SIGGRAPH 2004

    Article  Google Scholar 

  17. Steinke, F., Schölkopf, B., Blanz, V.: Support vector machines for 3D shape processing. Computer Graphics Forum 24(3), 285–294 (2005); Proceedings of EUROGRAPHICS 2005

    Article  Google Scholar 

  18. Kazhdan, M.: Reconstruction of solid models from oriented point sets. In: Eurographics Symposium on Geometry Processing 2005, pp. 73–82 (2005)

    Google Scholar 

  19. Lorensen, W.E., Cline, H.E.: Marching Cubes: a high resolution 3D surface construction algorithm. Computer Graphics 21(3), 163–169 (1987); Proceedings of ACM SIGGRAPH 1987

    Article  Google Scholar 

  20. Ju, T., Losasso, F., Schaefer, S., Warren, J.: Dual contouring of hermite data. ACM Transactions on Graphics 21(3), 339–346 (2002); Proceedings of ACM SIGGRAPH 2002

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Schall, O., Belyaev, A., Seidel, HP. (2006). Adaptive Fourier-Based Surface Reconstruction. In: Kim, MS., Shimada, K. (eds) Geometric Modeling and Processing - GMP 2006. GMP 2006. Lecture Notes in Computer Science, vol 4077. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11802914_3

Download citation

  • DOI: https://doi.org/10.1007/11802914_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-36711-6

  • Online ISBN: 978-3-540-36865-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics