International Journal of Precision Engineering and Manufacturing

  • 제3권1호
  • /
  • Pages.49-56
  • /
  • 2002
  • /
  • 2234-7593(pISSN)
  • /
  • 2005-4602(eISSN)
한국정밀공학회 (Korean Society for Precision Engineering)
권호 표지

Precision shape modeling by z-map model

  • 발행 : 2002.01.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The Z-map is a special farm of discrete non-parametric representation in which the height values at grid points on the xy-plane are stored as a 2D array z[ij]. While the z-map is the simplest farm of representing sculptured surfaces and is the most versatile scheme for modeling non-parametric objects, its practical application in industry (eg, tool-path generation) has aroused much controversy over its weaknesses, namely its inaccuracy, singularity (eg, vertical wall), and some excessive storage needs. Much research or the application of the z-map can be found in various articles, however, research on the systematic analysis of sculptured surface shape representation via the z-map model is rather rare. Presented in this paper are the following: shape modeling power of the simple z-map model, exact (within tolerance) z-map representation of sculptured surfaces which have some feature-shapes such as vertical-walls and real sharp-edges by adopting some complementary z-map models, and some application examples.

키워드

참고문헌

  1. Hwang, J. S., 'Interference-free tool-path generation in the NC machining of parametric compound surfaces,' Computer-Aided Design, Vol. 24, No. 12, pp. 667-676, 1992 https://doi.org/10.1016/0010-4485(92)90022-3
  2. Lee, S. X., and Jerard, R. B., '5-axis machining of sculptured surfaces with a flat-end cutter,' Computer-Aided Design, Vol. 26, No. 3, pp. 165-178, 1994 https://doi.org/10.1016/0010-4485(94)90040-X
  3. Choi, B. K., Surface Modeling for CAD/CAM, Elsevier, New York, 1991
  4. Choi, B. K., Chung, Y. C., Park, J. W., and Kim, D. H., 'Unified CAM-system architecture for die and mould machining,' Computer-Aided Design, Vol. 26 No. 3, pp. 235-243, 1994 https://doi.org/10.1016/0010-4485(94)90046-9
  5. Hook, T. V., 'Real time shaded NC milling display,' Computer Graphics, Vol. 20 No. 4, pp. 15-20, 1986 https://doi.org/10.1145/15886.15887
  6. Kim, C. B. and Yang, M. Y., 'A study on the verification of 5-axis CNC machining,' Joumal of KSME, Vol. 18 No. 1, pp. 93-100, 1994
  7. Park, J. W., 'A stud on the development of a CAM system for 5-axis NC machining ofdie & mold,', Ph.D. Thesis, K.A1ST, 1995 (In Korean)
  8. Choi, B. K., Chung, Y. C., and Park, J. W., 'Application and extension of z-map model,' Proc. of the Pacific Conference on Computer Graphics and Applications, Seoul, Aug, pp. 221-234, 1995
  9. Andersen, R. O., 'Detecting and eliminating collisions in NC machining,' Computer-Aided Design, Vol. 10 No. 4, pp. 231-237, 1978 https://doi.org/10.1016/0010-4485(78)90058-1
  10. Hsu, P. L., and Yang, W. T., 'Realtime 3D simulation of 3-axis milling using isometric projection,' Computer-Aided Design, Vol. 25 No. 4, pp. 215-224, 1993 https://doi.org/10.1016/0010-4485(93)90052-P
  11. Takata, S. Tsai, M. D., and Inui, M., 'A cutting simulation system for rnachinability evaluation using a workpiece model,' Annals of the CIRP, Vol. 38, pp. 417-420, 1989 https://doi.org/10.1016/S0007-8506(07)62736-X
  12. Chung, Y. C., 'Cutting simulation and verification of NC data for unified CAM system for die and mold manufacturing,' Ph.D. Thesis, KAIST, 1996 (In Korean)
  13. Yoo, W. S., and Choi, B. K., 'CAPP for Die Cavity Machining,' Proceedings of the IFIP TC5/WG5.3 Eighth Int'l PROLAMAT Conference, Tokyo, Japan, pp. 437-447, 1992
  14. Kim, D. H., 'Development of a Loading Schedule System and CAPP for CIM ofMolding Dies,' Ph.D. Thesis, KAIST, 1997 (In Korean)
  15. Takeuchi, Y. Sakamoto, M. Abe, Y., and Orita, R., 'Development of a personal CAD/CAM system for mold manufacture based on solid modeling techniques,' Annals of the CIRP, Vol. 40, pp. 455-458, 1989
  16. Saito, T., and Takahashi, T., 'NC machining with G-buffer method,' Computer Graphics, Vol. 25 No. 4, pp. 207-216, 1991 https://doi.org/10.1145/127719.122741
  17. Choi, B. K.., Park, J. W. and Jun, C. S., 'Cutter-location data optimization in 5-axis surface machining,' Computer-Aided Design, Vol. 25 No. 6, pp. 377-386, 1993 https://doi.org/10.1016/0010-4485(93)90033-K
  18. Park, J. W., Chung, Y. C., and Choi, B. K., 'Pencil curve tracing via virtual digitizing,' Machining Impossible Shapes (Olling, G. ed), pp. 279-292, 1999
  19. Foley, J. et al, Computer Graphics: Principles and Practice, 2nd ed., Addison-WesIey, 1990
  20. Faugeras, O., Three-dimensional Computer Vision: a Geometric Viewpoint, The MIT Press, 1993
  21. Hom, B. K. P., Robot Vision, The MIT Press, 1986
  22. Farin, G., CAGD: a Practical Gguide. Academic Press, New York, 1997
  23. Z-Master Reference Manual, Cubic Tech, Korea, 1992