Modeling an envelope generated by 3D volumetric NC tool motion

International Journal of Advanced Manufacturing Technology

Volumn 38, Issue 9-10, 2008, Pages 949-957

  Podshivalov, Lev ^a   Fischer, Anath ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

NC simulation; Self intersection; Sweep envelope differential equation (SEDE); Swept volume

Indexed keywords

BOOLEAN FUNCTIONS; CHLORINE COMPOUNDS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EQUATIONS OF MOTION; INDUSTRIAL APPLICATIONS; INDUSTRIAL ENGINEERING; INTERSECTIONS; MATHEMATICAL TECHNIQUES; TREES (MATHEMATICS);

NC SIMULATION; SELF INTERSECTIONS; SELF-INTERSECTION; SWEEP-ENVELOPE DIFFERENTIAL EQUATION (SEDE); SWEPT VOLUME;

COMPUTATIONAL COMPLEXITY;

EID: 50849083204     PISSN: 02683768     EISSN: 14333015     Source Type: Journal    
DOI: 10.1007/s00170-007-1148-z     Document Type: Article

References (18)

1. Faux ID, Pratt MJ (1979) Computational geometry for design and manufacture. Ellis Horwood-Publishers, Chicester, UK, pp 36-37
2. Wang WP, Wang KK (1986) Real-time verification of multi-axis NC programs with raster graphics. Proc IEEE Int Conf on Robotics and Automation, pp 364-375
3. Chung YC, Park JW, Shin H, Choi BK (1998) Modeling the surface swept by a generalized cutter for NC verification. CAD 30(8):587-594
4. Abdel-Malek K, Yeh HJ (1997) Geometric representation of the swept volume using Jacobian rank-deficiency conditions. CAD 29(6):457-468
5. Glaeser G, Groller E (1998) Efficient volume-generation during the simulation of NC-Milling. Mathematical visualization. Springer, Berlin Heidelberg New York, pp 89-106
6. Kim YJ, Varadhan G, Lin MC, Manocha D (2004) Fast swept volume approximation of complex polyhedral models. CAD 36:1013-1027
7. Yang J, Abdel-Malek K (2005) Approximate swept volumes of NURBS surfaces or solids. Comput Aided Geom Des 22:1-26
8. Leu MC, Blackmore D, Wang L, Pak K (1995) Implementation of SDE method to represent cutter swept volumes in 5-axis NC milling. Proc Int Conf Intell Manuf, Wuhan, China, pp 111-220
9. Blackmore D, Leu MC, Wang KK (1992) Applications of flows and envelopes to NC machining. Ann CIRP 41(1):493-496
10. Blackmore D, Leu MC, Wang L (1997) The sweep-envelope differential equation algorithm and its application to NC machining verification. CAD 29(9):629-637
11. Wang L (1997) Modeling of 3D swept volumes using SDE/SEDE methods and its application to five-axis NC machining. PhD Dissertation. New Jersey Institute of Technology, Newark, NJ
12. 2logN algorithm for generating swept solids in NC verification
13. Irvin KH (1986) Numerical control programming in APT. Englewood Cliffs, Prentice Hall, NJ
14. Blackmore D, Samulyak R, Leu MC (1999) Trimming swept volumes. CAD 31:215-223
15. Guigue P, Devillers O (2003) Fast and robust triangle-triangle overlap test using orientation predicates. J Graph Tools 8:25-42
16. Elden L, Wittmeyer-Koch L (1990) Numerical analysis. Academic Press, San Diego, CA, pp 112
17. Jiang H (1993) The flow approach to swept volume. MSc Thesis, Dept of Math., New Jersey Institute of Technology, Newark, NJ
18. Scheidegger CE, Fleishman S, Silva CT (2005) Triangulating point set surfaces with bounded error. In: Desbrun M, Pottmann H (eds) Eurographics Symposium on Geometry Processing