Efficient Volume-Generation During the Simulation of NC-Milling

1. E. Brechner, General Offset Curves and Surfaces, in R.E.Barnhill, ed., Geometry Processing for Design and Manufacturing. SIAM, Philadelphia, pp. 101–121 (1992).

   Chapter  Google Scholar 

2. I. T. Chappel, The use of vectors to simulate material removed by numerically controlled milling, Computer Aided Design, Vol. 15, No. 3, pp. 156–158, (1983).

   Article  Google Scholar 

3. J. Foley Van Damm, Computer Graphics. Principles and Practice, Addison-Wesley (1990).

   Google Scholar 

4. T. Van Hook, Real Time Shaded NC Milling Display, Computer Graphics, Vol. 20, No. 4, (Proc. Siggraph ‘86), pp. 15–20 (1986).

   Google Scholar 

5. K.C., Hui, Solid sweeping in image space-application in NC simulation, The Visual Computer, Vol. 10, pp. 306–316 (1994).

   Article  Google Scholar 

6. Y. Huang And J.H. Oliver, NC Milling Error Assessment and Tool Path Correction, Computer Graphics Proceedings, Conference Proceedings July 2419, 1994, (Proc. Siggraph ‘84), pp. 287–294.

   Google Scholar 

7. R.B. Jerard, R.L. Drysdale, K. Hauck, J. Magewick, and B. Schaudt, Methods for Detecting Errors in Numerically Controlled Machining of Sculptured Surfaces, IEEE Computer Graphics and Applications, 0272–1716 /89, pp. 26–39 (1989).

   Article  Google Scholar 

8. R.B Jerard, S. Z. Hussaini, R.L. Drysdale, and B. Schaudt, Approximate methods for simulation and verification of numerically controlled machining programs, The Visual Computer Vol. 5, pp. 329–348 (1989).

   Article  Google Scholar 

9. J.K. Johnstone and J.P. Williams, A rational model of the surface swept by a curve, Eurographics’95, Vol. 14, pp. 77–88 (1995).

   Google Scholar 

10. Y. Kawashima, K. Prof’, T. Ishida, S. Nonaka, And K. Ejiri, A flexible quantitative method for NC machining verification using a space-division based solid model, The Visual Computer, Vol. 7, pp. 149–157 (1991).

    Article  Google Scholar 

11. CH. Liu And D.M. Esterling ET AL. Dimensional Verification of NC Machining Profiles Using Extended Quadtrees, Computer Aided Design, Vol. 28, No. 11, pp. 845–842 (1996).

    Article  Google Scholar 

12. H. Pottmann, General Offset Surfaces,Neural, Parallel Scientific Computations, 1997, to appear.

    Google Scholar 

13. V.L. Rvachev, Methods of Logic Algebra in Mathematical Physics, Kiev: Naukova Dumka Publishers, p259, (1974).

    Google Scholar 

14. T. Saito and T. Takahashi, NC Machining with G-Buffer method, Computer Graphics, Vol. 25, No. 4, (Proc. Siggraph ‘81), pp. 207–216 (1991).

    Google Scholar 

15. A.I. Sourin And A.A. Pasko, Function Representation for Sweeping by a Moving Solid, IEEE Transactions on Visualization and Computer Graphics, Vol. 2, No. 2, March 1996, pp. 11–18 (1996).

    Article  Google Scholar 

16. H. StachelAnd A. Elsonbaty, Generating solids by Sweeping Polyhedra,1996. Proc. 7th ICECGDG, Cracow 1996, Vol.I, pp. 245–249 (to appear in Journal for Geometry and Graphics 1 (1997)).

    Google Scholar 

17. H.B. Voelker And K.K. Wang, The Role of Solid Modeling for Swept Volume of Moving Solids, SAE Technical Paper no. 810195, Feb. 1981.

    Google Scholar 

18. S.W. Wang And A. Kaufmann, Volume Sculpting,ACM Symposium on Interactive 3D-Graphics, Monterey CA., pp.151–156.

    Google Scholar 

19. W.P. Wang And K.K. Wang, Geometric Modeling for Swept Volume of Moving Solids, IEEE Computer Graphics and Applications, 6, 12, 1986, pp. 8–17.

    Article  Google Scholar 

20. W. Wunderlich, Darstellende Geometrie II, BI-Hochschultaschenbuch, Mannheim 1967.

    MATH  Google Scholar 

21. M. Yang And E. Lee, NC verification for wire-EDM using an R-map, Computer Aided Design, Vol. 28, No. 9, pp. 733–740 (1996).

    Article  Google Scholar 

Download references