Skip to main content
SpringerLink
Log in

Model Reconstruction Using B-Spline Surfaces

  • Conference paper
System Simulation and Scientific Computing (ICSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 326))

Included in the following conference series:

  • 2778 Accesses

Abstract

Recently, some results of the G1 continuity conditions for B-splines surfaces have been presented. These G1 conditions can be used in the reconstruction of bicubic and biquintic smooth B-splines surfaces with a single interior knots. However, the C1 continuity conditions of B-spline surfaces with arbitrary degrees have not been solved. In this paper, we obtain the C1 continuity conditions between two adjacent B-spline surfaces with arbitrary degrees. We also present a practical scheme of reconstructing model using the C1 continuity conditions in reverse engineering.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • 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. Shi, X., Wang, T., Yu, P.: Reconstruction of convergent G1 smooth B-spline surfaces. Computer Aided Geometric Design 21, 893–913 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  2. Shi, X., Wang, T., Yu, P.: A practical construction of G1 smooth biquintic B-spline surfaces over arbitrary topology. Computer-Aided Design 36, 413–424 (2004)

    Article  MATH  Google Scholar 

  3. Shi, X., Yu, P., Wang, T.: G1 continuous conditions of biquartic B-spline surfaces. Journal of Computational and Applied Mathematics 144, 251–262 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Che, X., Liang, X., Li, Q.: G1 continuity conditions of adjacent NURBS surfaces. Computer Aided Geometric Design 22, 285–298 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Milroy, M.J., Bradley, C., Vickers, G.W., Weir, D.J.: G1 continuity of B-spline surface patches in reverse engineering. Computer-Aided Design 27(6), 471–478 (1995)

    Article  MATH  Google Scholar 

  6. Piegl, L., Tiller, W.C.: The NURBS Book, 2nd edn. Springer, Berlin (1997)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing, 210044, China

    Wei Li

  2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Zhuoqi Wu

  3. Interlocus,Inc., Kanagawa, Japan

    Shinoda Junichi

  4. Department of Mechanical Sciences and Engineering, Graduate School of Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan

    Ichiro Hagiwara

Authors
  1. Wei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhuoqi Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shinoda Junichi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ichiro Hagiwara
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. National CIMS Engineering Research Center, Department of Automation, Tsinghua University, 100084, Beijing, China

    Tianyuan Xiao

  2. School of Automation Science and Electrical Engineering, Beihang University, 100191, Beijing, China

    Lin Zhang

  3. School of Mechatronics Engineering and Automation, Shanghai University, 200072, Shanghai, China

    Shiwei Ma

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, W., Wu, Z., Junichi, S., Hagiwara, I. (2012). Model Reconstruction Using B-Spline Surfaces. In: Xiao, T., Zhang, L., Ma, S. (eds) System Simulation and Scientific Computing. ICSC 2012. Communications in Computer and Information Science, vol 326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34381-0_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34381-0_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34380-3

  • Online ISBN: 978-3-642-34381-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation