Swept volumes generated by the natural quadric surfaces

Computers and Graphics (Pergamon)

Volumn 20, Issue 2, 1996, Pages 263-274

  Hu, Zeng Jia ^a   Ling, Zhi Kui ^a  

^a Michigan Technological University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GRAPHICS; OBJECT RECOGNITION; SURFACES;

NATURAL QUADRIC SURFACES; SWEPT VOLUMES;

COMPUTER SIMULATION;

EID: 0030101032     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/0097-8493(95)00100-X     Document Type: Article

References (17)

1. Z. K. Ling and T. R. Chase, Generating the swept area of a body undergoing planar motion. Adv. Design Automation ASME DE 32, 227-236 (1991). Also to appear in the J. Mech. Design.
2. K. Sambandan, K. Kedem, and K. K. Wang, Generalized planar sweeping of polygons. J. Manufacturing Systems 11, 246-257 (1992).
3. M. A. Ganter, Dynamic collision detection using kinematics and solid modelling technique. Ph.D. thesis, Univ. Wisconsin-Madison (1985).
4. W. P. Wang and K. K. Wang, Geometric modelling for swept volume for moving solids. IEEE CG&A 6, 8-17 (1986).
5. M. C. Leu, S. H. Park, and K. K. Wang, Geometric representation of translational swept volumes and its applications. ASME J. Engng Industry 108, 113-119 (1986).
6. J. Kieffe and F. L. Litvin, Swept volume determination and interference for moving 3-D solids. ASME J. Mech. Design 113, 456-463 (1991).
7. J. D. Weld and M. C. Leu, Geometric representation of swept volumes with application to polyhedral objects. Int. J. Robotics Res. 9, cd105-116 (1990).
8. R. R. Martin and P. C. Stephenson, Sweeping of three-dimensional objects. Comput. Aided Design 22, 223-234 (1990).
9. D. Blackmore and M. C. Leu, Analysis of swept volume via lie group and differential equations. Int. J. Robotics Res. 11, 516-536 (1992).
10. M. A. Ganter, D. W. Storti, and M. T. Ensz, On algebraic methods for implicit swept solids with finite extent. Adv. Design Automation ASME DE 65, 389-396 (1993).
11. E. Kreyszig, Differential Geometry, Univ. of Toronto Press, Toronto (1959).
12. Z. J. Hu and Z. K. Ling, Generating swept volumes with instantaneous screw axes. Mechanism Synthesis and Analysis ASME DE 69, 7-14 (1994).
13. J. S. Beggs, Advanced Mechanism, Macmillan Company (1966).
14. D. Myers, S. Skinner, and K. Sloan, Surfaces from contours. ACM Trans. Graphics 11, 228-258 (1992).
15. Z. J. Hu and Z. K. Ling, Geometric modeling of a moving object with self-intersection. Adv. Design Automation ASME DE 82, 141-148 (1995).
16. Z. J. Hu and Z. K. Ling, Swept volumes of the quadric surfaces and their application in mechanism design. Submitted to the J. Mech. Design (1995).
17. O. Bottema and B. Roth, Theoretical Kinematics, North-Holland (1979).