An Effective Modeling of Single Cores Prostheses Using Geometric Techniques

  • Kwan-Hee Yoo
  • Jong Sung Ha
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3039)


There has been a great demand for the artificial teeth prostheses that are made of materials sintered at 1500 o C, such as Zirconia ceramic. It is, however, very difficult for dental technicians to manually fabricate the prostheses with such materials since their degree of strength is very high. For that reason, the prostheses of strong materials have been fabricated by using CNC (computer numerical control) machines. The most important subject in the CNC fabrication is how accurately the prostheses can be modeled in three-dimensional space according to dentists’ requirements. In this paper, we propose effective methods for modeling single cores, such as single caps and Conus cores, which are the principal ones of the artificial teeth prostheses. Our approach employs the 2D Minkowski sum, a developed ZMap algorithm, and other geometric techniques such as the tiling of contours. We also present and analyze the 3D visual examples of the single cores modeled by the proposed methods.


Conic Angle Computer Numerical Control Core Model Single Core Polygonal Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Berg, M.D., Kreveld, W.V., Overmars, M., Schwarzkopf, O.: Computational Geometry - Algorithms and Applications. Springer, Heidelberg (1997)zbMATHGoogle Scholar
  2. 2.
    Besimo, C., Jeger, C., Guggenheim, R.: Marginal Adaptation of Titanium Frameworks produced by CAD/CAM Techniques. The International Journal of Prosthodontics 10(6), 541–546 (1997)Google Scholar
  3. 3.
    Duret, F., Blouin, J.L., Duret, B.: CAD/CAM in dentistry. Jorunal Am. Dent. Assoc. 117(11), 715–720 (1988)Google Scholar
  4. 4.
    Ghosh, P.: A Unified Computational Framework for Minkowski Operations. Computer and Graphics 17(4), 357–378 (1993)CrossRefGoogle Scholar
  5. 5.
    Gurke, S.: Generation of Tooth Models for Ceramic Dental Restorations. In: The 4th International Conference on Computer Integrated Manufacturing, Singapore (October 1997)Google Scholar
  6. 6.
    Korber, K.H.: Konuskronen, Das rationelle Teleskopsystem, Einfuhrung Inklinik und Technik, Auflage, Huthig, Heidel-berg (1983)Google Scholar
  7. 7.
    Lozano-Perez, T.: Spatial Planning: A Configuration Space Approach. IEEE Transaction on Computers 32(2), 108–120 (1983)zbMATHCrossRefMathSciNetGoogle Scholar
  8. 8.
    Meyers, D., Skinner, S., Sloan, K.: Surfaces from Contours. ACM Transactions on Graphics 11(3), 228–258 (1992)zbMATHCrossRefGoogle Scholar
  9. 9.
    Rekow, D.E.: The Minnesota CAD/CAM System DentiCAD, Technical report, University of Minnesota (1989)Google Scholar
  10. 10.
    Rekow, D.E.: CAD/CAM in Dentistry:Critical Analysis of Systems. In: Computers in Clinical Dentistry, Quintessence Co. Inc., pp. 172-185 (1991)Google Scholar
  11. 11.
    Yamagichi, F.: Curves and Surfaces in Computer Aided Geometric Design. Springer, Heidelberg (1988)Google Scholar
  12. 12.
    Yoo, K.H.: An Efficient Algorithm for Extracting the Margin of a Tooth (2003) (manuscript)Google Scholar
  13. 13.
    Yoon, C.G., Kang, D.W., Chung, S.M.: State-of-arts in Fixed Prosthodontics. Jongii Press, Korea (1999)Google Scholar
  14. 14.
    Willer, J., Rossbach, A., Weber, H.: Computer Assisted Milling of Dental Restorations using a new CAD/CAM Data Acquisition System. The International Journal of Prosthodontics 80(3), 346–353 (1988)Google Scholar
  15. 15.
    van der Zel, J.M.: Ceramic-fused-to-metak Restorations with a new CAD/CAM system. Quintessence International 24(11), 769–778 (1993)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Kwan-Hee Yoo
    • 1
  • Jong Sung Ha
    • 2
  1. 1.Dept. of Computer Education and Dept. of Information Industrial EngineeringChungbuk National UniversityCheongju ChungbukRepublic of Korea
  2. 2.Dept. of Computer EngineeringWoosuk UniversityWanju-Kun ChonbukRepublic of Korea

Personalised recommendations