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

A Novel Loop Subdivision for Continuity Surface

  • Conference paper
  • First Online:
Advances in Brain Inspired Cognitive Systems (BICS 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10989))

Included in the following conference series:

Abstract

This paper introduces a novel Loop subdivision method, which produces a C1 continuity surface including boundaries and creases. The new rules develop Loop subdivision surface by adding a parameter known as a knot interval. Sederberg et al. used knot intervals for sharp features in subdivision surface modeling for the first time. This paper extends the subdivision rule to triangular subdivision meshes. It can generate a pleasant result in Loop subdivision surfaces.

Supported by NSFC-CAS Joint Fund (No. U1332130, U1713206), 111 Projects (No. B07033), 973 Project (No. 2014CB931804), NSFC under Grant No. 61672371, Jiangsu Provincial Department of Housing and Urban-Rural Development under grants No. 2017ZD253 and China Scholarship Council.

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 EPUB and 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

Similar content being viewed by others

References

  1. Chaikin, G.M.: An algorithm for high-speed curve generation. Comput. Graph. Image Process. 3(4), 346–349 (1974)

    Article  Google Scholar 

  2. Catmull, E., Clark, J.: Recursively generated B-spline surfaces on arbitrary topological meshes. Comput. Aided Des. 10(6), 350–355 (1978)

    Article  Google Scholar 

  3. Doo, D., Sabin, M.: Behaviors of recursive division surfaces near extraordinary points. Comput. Aided Des. 10(6), 356–360 (1978)

    Article  Google Scholar 

  4. Kavan, L., Collins, S., O’Sullivan, C.: Automatic linearization of non-linear skinning. In: Proceedings of Symposium on interactive 3D Graphics and Games, Boston, 27 February–1 March (2009)

    Google Scholar 

  5. Loop, C.: Smooth subdivision surfaces based on triangles. Master’s thesis, Department of Mathematics, University of Utah (1987)

    Google Scholar 

  6. Dyn, N.: A butterfly subdivision method for surface interpolation with tension control. ACM Trans. Graph. 9(2), 160–169 (1990)

    Article  MathSciNet  Google Scholar 

  7. Dyn, N., Levin, D., Micchelli, C.A.: Using parameters to increase smoothness of curves and surfaces generated by subdivision. Comput. Aided Geom. Des. 7(1), 129–140 (1990)

    Article  MathSciNet  Google Scholar 

  8. Zorin, D., Sweldens, W.: Interactive multiresolution mesh editing. In: Conference on Computer Graphics and Interactive Techniques, Los Angeles, 3–8 August (1997)

    Google Scholar 

  9. Loop, C., Schaefer, S.: Approximating Catmull-Clark subdivision surfaces with bi-cubic patches. ACM Trans. Graph. 27(1), 1–11 (2008)

    Article  Google Scholar 

  10. Henrik, W., Joe, W.: Subdivision schemes for thin plate splines. Comput. Graph. Forum 17(3), 303–313 (2010)

    Google Scholar 

  11. Bornemann, P.B., Cirak, F.: A subdivision-based implementation of the hierarchical b-spline finite element method. Comput. Methods Appl. Mech. Eng. 253(1), 584–598 (2013)

    Article  MathSciNet  Google Scholar 

  12. Wang, L.Z., Liu, W., Xu, L.: Approximating Catmull-Clark subdivision surfaces with bicubic Bezier patches on GPU. J. Comput. Appl. 30(2), 37–39 (2010)

    Google Scholar 

  13. Wu, Z., Hu, F., Zhang, Y., Gao, Q., Chen, Z.: Mechanical analysis of double-layered circular graphene sheets as building material embedded in an elastic medium. J. Cent. South Univ. 24, 2717–2724 (2017)

    Article  Google Scholar 

  14. Wu, Z., Zhang, Y., Hu, F., Gao, Q., Xu, X., Zheng, R.: Vibration analysis of bilayered graphene sheets for building materials in thermal environments based on the element-free method. J. Nanomater. (2018). https://doi.org/10.1155/2018/6568061

    Article  Google Scholar 

  15. Hoppe, H., DeRose, T., Duhamp, T., et al.: Piecewise smooth surface reconstruction. In: Proceedings of the 21st Annual Conference on Computer Graphics and Interactive Techniques, Orlando, 24–29 July (1994)

    Google Scholar 

  16. DeRose, T., Kass, M., Truong, T.: Subdivision surfaces in character animation. In: Proceedings of the 25th Annual Conference on Computer Graphics and Interactive Techniques, Orlando, 19–24 July (1998)

    Google Scholar 

  17. Jerome, M., Jos, S.: A unified subdivision scheme for polygonal modeling. Comput. Graph. Forum 20(3), 471–479 (2010)

    Google Scholar 

  18. Schweitzer, J.E.: Analysis and application of subdivision surfaces. Ph.D thesis, University of Washington, Seattle (1996)

    Google Scholar 

  19. Zorin, D.: Subdivision and multiresolution surface representations. Ph.D thesis, Caltech, Pasaedna (1997)

    Google Scholar 

  20. Warren, J., Weimer, H.: Subdivision Methods for Geometric Design, pp. 276–285. Morgan Kaufmann Publishers, Boston (2002)

    Google Scholar 

  21. Biermann, H., Levin, A., Zorin, D.: Piecewise smooth subdivision surfaces with normal control. In: Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques, New Orleans, 23–28 July (2000)

    Google Scholar 

  22. Sederberg, T.W., Zheng, J., Sewell, D., Sabin, M.: Non-uniform recursive subdivision surfaces. In: Proceedings of the 25th Annual Conference on Computer Graphics and Interactive Techniques, Orlando, 19–24 July (1998)

    Google Scholar 

  23. Feng, Y.: Object-based 2D-to-3D video conversion for effective stereoscopic content generation in 3D-TV applications. IEEE Trans. Broadcast. 57(2), 500–509 (2011)

    Article  Google Scholar 

  24. Ren, J.: Multi-camera video surveillance for real-time analysis and reconstruction of soccer games. Mach. Vis. Appl. 21(6), 855–863 (2010)

    Article  Google Scholar 

  25. Ren, J.: Real-time modeling of 3-D soccer ball trajectories from multiple fixed cameras. IEEE Trans. Circuits Syst. Video Technol. 18(3), 350–362 (2008)

    Article  Google Scholar 

  26. Zheng, J., Zuo, X., Ren, J., et al.: Multiple depth maps integration for 3D reconstruction using geodesic graph cuts. Int. J. Software Eng. Knowl. Eng. 25(03), 473–792 (2015)

    Article  Google Scholar 

  27. Zhao, D., Zheng, J., Ren, J.: Effective removal of artifacts from views synthesized using depth image based rendering, Vancouver, Canada, 31 August–2 September (2015)

    Google Scholar 

  28. Wu, Z., Li, B., Dang, C., et al.: Solving long haul airline disruption problem caused by groundings using a distributed fixed-point computational approach to integer programming. Neurocomputing 269, 232–255 (2017)

    Article  Google Scholar 

  29. Wu, Z., Li, B., Dang, C.: Solving multiple fleet airline disruption problems using a distributed-computation approach to integer programming. IEEE Access 5, 19116–19131 (2017)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lichun Gu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gu, L., Zheng, J., Dang, C., Wu, Z., Fu, B. (2018). A Novel Loop Subdivision for Continuity Surface. In: Ren, J., et al. Advances in Brain Inspired Cognitive Systems. BICS 2018. Lecture Notes in Computer Science(), vol 10989. Springer, Cham. https://doi.org/10.1007/978-3-030-00563-4_76

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-00563-4_76

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00562-7

  • Online ISBN: 978-3-030-00563-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics