Swept volumes: Void and boundary identification

CAD Computer Aided Design

Volumn 30, Issue 13, 1998, Pages 1009-1018

  Abdel Malek, Karim ^a,c,d   Yeh, Harn Jou ^a,b,e,f   Othman, Saeb ^a,g  

^a UNIVERSITY OF IOWA   (United States)

^b Microtek Inc   (Taiwan)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

^d UNIVERSITY OF JORDAN   (Jordan)

^e NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^f Center for Computer Aided Design   (United States)

^g US Natl Advanced Driving Simulator   (United States)

Author keywords

Boundary identification; Sweep Jacobian; Swept volume; Void detection

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER AIDED ENGINEERING; COMPUTER SIMULATION; FUNCTIONS;

BOUNDARY IDENTIFICATIONS; SWEEP JACOBIAN; VOID DETECTIONS;

COMPUTER AIDED DESIGN;

EID: 0032206129     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(98)00054-2     Document Type: Article

References (23)

1. Abdel-Malek, K. and Yen, H. J., Geometric representation of the swept volume using Jacobian rank deficiency conditions. Computer-Aided Design, 1997, 29(6), 457-468.
2. Abrams, S. and Allen, P. K. Swept volumes and their use in viwpoint computation in robot work-cells. In Proceedings of the IEEE International Symposium on Assembly and Task Planning [1995] pp. 188-193.
3. Ahn, J. W., Kim, M. S. and Lim, S. B., Approximate general sweep boundary of a 2D curved object. Computer Vision, Graphics and Image Processing, 1993, 55(2), 98-128.
4. Blackmore, D. and Leu, M. C., Analysis of swept volume via lie groups and differential equations. The International Journal of Robotics Research, 1992, 11(6), 516-537.
5. Blackmore, D., Jiang, H. and Leu, M. C. Modeling of swept solids using sweep differential techniques In Proceedings of the 4th IFIP WG5.2 Workshop Geometric Modeling in Computer-Aided Design, Rensselaerville, NU [1992].
6. Blackmore, D., Leu, M. C. and Shih, F., Analysis and modeling of deformed swept volumes Computer-Aided Design, 1994, 26(4), 315-326.
7. Bronsvoort, W., Van Nieuwenhuizen, P. and Post, F., Display of profiled sweep objects The Visual Computer, 1989, 5(3), 147-157.
8. Coquillart, S. A., Control point based sweeping technique. IEEE Computer Graphics and Applications, 1987, 7(11), 36-44.
9. Farin, G. (1993). Curves and surfaces for computer-aided geometric design. Academic Press: San Diego, CA.
10. Fridshal, R., Duncan, D., Cheng, K. D. and Zucker, W. Numerical control part program verification system. In Proceedings CAD/CAM Technology for Mechanical Engineering. MIT: Cambridge, MA, 1982, pp. 236-254.
11. Ganter, M. A., Stori, D. W. and Ensz, M. T., On algebraic methods for implicit swept solids with finite extent. ASME Advances in Design Automation, 1993, 65(2), 389-396.
12. Hu, Z. J. and Ling, Z. K. Generating swept volumes with instantaneous screw aces. In Proceedings of the 1994 ASME Design Technical Conference, Part 1, Minneapolis, MN [1994] Vol. 70(1), pp. 7-14.
13. Hu, Z. J. and Ling, Z. K., Swept volumes generated by the natural quadric surfaces. Computers and Graphics, 1996, 20(2), 263-274.
14. Jerard, R. B. and Drysdale, R. L., Geometric simulation of numerical control machinery. ASME Computers Engineer, 1988, 2, 129-136.
15. Kieffer, J. and Litvin, F. L., Swept volume determination and interference detection for moving 3-D solids. Transactions of the ASME, Journal of Mechanical Design, 1990, 113, 456-463.
16. Klok, F., Two moving coordinate frames for sweeping along a 3D trajectory. Computer-Aided Geometric Design, 1986, 3, 217-229.
17. Leu, M. C., Park, S. H. and Wang, K. K., Geometric representation of translationl swept volumes and its applications ASME Journal of Engineering for Industry, 1986, 108, 113-119.
18. Martin, R. R. and Stephenson, P. C., Sweeping of three-dimensional objects Computer-Aided Design, 1990, 22(4), 223-234.
19. Oliver, J. and Goodman, E., Direct dimensional NC verification. Computer-Aided Design, 1990, 22, 3-9.
20. Schroeder, W. J., Lorensen, E. E. and Linthicum, S. Implicit modeling of swept surfaces and volumes In Proceedings of the IEEE Visualization Conference, Los Alamitos, CA [1994] pp. 40-45.
21. Voelker, H. B. and Hunt, W. A. The role of solid modeling in machining process modeling and NC verification. SAE Technical Paper, no. 810195 [1985].
22. Wang, W. P. and Wang, K. K., Geometric modeling for swept volume of moving solids IEEE Computer Graphics and Applications, 1986, 6(12), 8-17.
23. Weld, J. D. and Leu, M. C., Goemetric representation of swept volumes with application to polyhedral objects. The International Journal of Robotics Research, 1990, 9(5), 105-117.