Nothing Special   »   [go: up one dir, main page]

skip to main content
10.1145/311535.311541acmconferencesArticle/Chapter ViewAbstractPublication PagessiggraphConference Proceedingsconference-collections
Article
Free access

Interpolating nets of curves by smooth subdivision surfaces

Published: 01 July 1999 Publication History
First page of PDF

References

[1]
E. Catmull and J. Clark. Recursively generated b-spline surfaces on arbitrary topological meshes. Computer Aided Design, 10:350-355, 1978.
[2]
T. DeRose, M. Kass, and T. Truong. Subdivision surfaces in character animation. In SIGGRAPH 98 Conference Proceedings, Annual Conference Series, pages 85-94. ACM SIG- GRAPH, 1998.
[3]
D. Doo and M. Sabin. Behaviour of recursive division surface near extraordinary points. Computer Aided Design, 10:356- 360, 1978.
[4]
N. Dyn, J. A. Greogory, and D. Levin. A butterfly subdivision scheme for surface interpolation with tension control. A CM Transactions on Graphics, 9:160-169, 1990.
[5]
M. Halstead, M. Kass, and T. DeRose. Efficient, fair interpolation using catmull-clark surfaces. In SIGGRAPH 93 Conference Proceedings, Annual Conference Series, pages 35-44. ACM SIGGRAPH, 1993.
[6]
L. Kobbelt, T. Hesse, H. Prautzsch, and K. Schweizerhof. Interpolatory subdivision on open quadrilateral nets with arbitrary topology. Computer Graphics Forum, 15:409-420, 1996. Eurographics '96 issue.
[7]
A. Levin. Analysis of combined subdivision schemes 1. in preparation, available on the web at http://www.math.tau.ac.il/-adilev, 1999.
[8]
A. Levin. Analysis of combined subdivision schemes 2. in preparation, available on the web at http://www.math.tau.ac.il/-adilev, 1999.
[9]
A. Levin. Analysis of combined subdivision schemes for the interpoation of curves. SIGGRAPH'99 CDROM Proceedings, 1999.
[10]
A. Levin. Combined subdivision schemes for the design of surfaces satisfying boundary conditions. To appear in CAGD, 1999.
[11]
C. Loop. Smooth spline surfaces based on triangles. Master's thesis, University of Utah, Department of Mathematics, 1987.
[12]
A. H. Nasri. Curve interpolation in recursively generated bspline surfaces over arbitrary topology. Computer Aided Geometric Design, 14:No 1, 1997.
[13]
A. H. Nasri. Interpolation of open curves by recursive subdivision surface. In T. Goodman and R. Martin, editors, The Mathematics of Surfaces VII, pages 173-188. Information Geometers, 1997.
[14]
M. Sabin. Cubic recursive division with bounded curvature. In E J. Laurent, A. le Mehaute, and L. L. Schumaker, editors, Curves and Surfaces, pages 411-4 14. Academic Press, 1991.
[15]
J. Schweitzer. Analysis and Applications of Subdivision Surfaces. PhD thesis, University of Washington, Seattle, 1996.
[16]
D. J. T. Storry and A. A. Ball. Design of an n-sided surface patch. Computer Aided Geometric Design, 6:111-120, 1989.
[17]
G. Taubin. A signal processing approach to fair surface design. In Robert Cook, editor, SIGGRAPH 95 Conference Proceedings, Annual Conference Series, pages 351-358. ACM SIGGRAPH, Addison Wesley, August 1995. held in Los Angeles, California, 06-11 August 1995.
[18]
D. Zorin, P. Schr6der, and W. Sweldens. Interpolating subdivision for meshes with arbitrary topology. Computer Graphics Proceedings (SIGGRAPH 96), pages 189-192, 1996.

Cited By

View all
  • (2022)A class of nonstationary interproximate subdivision algorithm for interpolating feature data pointsThe Visual Computer10.1007/s00371-022-02722-939:6(2441-2454)Online publication date: 25-Nov-2022
  • (2022)Interactive Shape DesignundefinedOnline publication date: 21-Mar-2022
  • (2021)Gauss–Seidel progressive iterative approximation (GS-PIA) for subdivision surface interpolationThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-021-02318-939:1(139-148)Online publication date: 16-Oct-2021
  • Show More Cited By

Index Terms

  1. Interpolating nets of curves by smooth subdivision surfaces

      Recommendations

      Comments

      Please enable JavaScript to view thecomments powered by Disqus.

      Information & Contributors

      Information

      Published In

      cover image ACM Conferences
      SIGGRAPH '99: Proceedings of the 26th annual conference on Computer graphics and interactive techniques
      July 1999
      463 pages
      ISBN:0201485605

      Sponsors

      Publisher

      ACM Press/Addison-Wesley Publishing Co.

      United States

      Publication History

      Published: 01 July 1999

      Permissions

      Request permissions for this article.

      Check for updates

      Author Tags

      1. combined subdivision schemes
      2. interpolation
      3. net of curves
      4. subdivision

      Qualifiers

      • Article

      Conference

      SIGGRAPH99
      Sponsor:

      Acceptance Rates

      SIGGRAPH '99 Paper Acceptance Rate 52 of 320 submissions, 16%;
      Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • Downloads (Last 12 months)101
      • Downloads (Last 6 weeks)13
      Reflects downloads up to 19 Nov 2024

      Other Metrics

      Citations

      Cited By

      View all
      • (2022)A class of nonstationary interproximate subdivision algorithm for interpolating feature data pointsThe Visual Computer10.1007/s00371-022-02722-939:6(2441-2454)Online publication date: 25-Nov-2022
      • (2022)Interactive Shape DesignundefinedOnline publication date: 21-Mar-2022
      • (2021)Gauss–Seidel progressive iterative approximation (GS-PIA) for subdivision surface interpolationThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-021-02318-939:1(139-148)Online publication date: 16-Oct-2021
      • (2020)A Non-stationary Combined Ternary 5-point Subdivision Scheme with $C^{4}$ ContinuityTaiwanese Journal of Mathematics10.11650/tjm/20030324:5Online publication date: 1-Oct-2020
      • (2018)Gauss-seidel progressive iterative approximation (GS-PIA) for loop surface interpolationProceedings of the 26th Pacific Conference on Computer Graphics and Applications: Short Papers10.2312/pg.20181284(73-76)Online publication date: 8-Oct-2018
      • (2017)The Surfacing of Multiview 3D Drawings via Lofting and Occlusion Reasoning2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)10.1109/CVPR.2017.485(4560-4569)Online publication date: Jul-2017
      • (2015)Revisiting Traditional Curve Lofting to Improve the Hull Surface Design ProcessShip Technology Research10.1179/str.2012.59.2.00259:2(18-33)Online publication date: 2-Feb-2015
      • (2014)Ribbon-based transfinite surfacesComputer Aided Geometric Design10.1016/j.cagd.2014.06.00631:9(613-630)Online publication date: 1-Dec-2014
      • (2012)Interpolating Subdivisions Based on Difference Interpolating FunctionsProceedings of the 2012 Fourth International Conference on Digital Home10.1109/ICDH.2012.11(262-267)Online publication date: 23-Nov-2012
      • (2012)Technical SectionComputers and Graphics10.1016/j.cag.2012.08.00836:8(916-929)Online publication date: 1-Dec-2012
      • Show More Cited By

      View Options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Login options

      Media

      Figures

      Other

      Tables

      Share

      Share

      Share this Publication link

      Share on social media