Intersecting surfaces of special types

Proceeedings - Shape Modeling International 1999 - International Conference on Shape Modeling and Applications

Volumn , Issue , 1999, Pages 122-128

  Kim, Myung Soo ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

INTERSECTING SURFACES; INTERSECTION CURVES; NATURAL QUADRICS; NEW APPROACHES; RULED SURFACES; SURFACE OF REVOLUTION; TOPOLOGICAL TECHNIQUES;

EID: 4544269252     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SMA.1999.749331     Document Type: Conference Paper

References (29)

1. C. Bajaj, C. Hoffmann, J. Hopcroft, and R. Lynch. Tracing surface intersections. Computer Aided Geometric Design, 5(4):285-307, November 1988.
2. C. Bajaj and G. Xu. NURBS approximation of surface/surface intersection curves. Advances in Computational Mathematics, 2(1): 1-21, January 1994.
3. J.-J. Choi. Local Canonical Cubic Curve Tracing along Surface/Surface Intersections. Ph.D. Thesis, Dept. of Computer Science, POSTECH, February 1997.
4. J. de Pont. Essays on the Cyclide Patches. Ph.D. Thesis, Cambridge University Engineering Department, Cambridge, February 1984.
5. G. Elber, J.-J. Choi, and M.-S. Kim. Ruled tracing. The Visual Computer, 13(2):78-94, February 1997.
6. G. Elber and M.-S. Kim. Bisector curves of planar rational curves. To appear in Computer-Aided Design, 1999.
7. R. Farouki, C. Neff, and M. O'Connor. Automatic parsing of degenerate quadric-surface intersections. ACM Trans. on Graphics, 3(3): 174-203, July 1989. (Pubitemid 20655690)
8. H.-S. Heo, M.-S. Kim, and G. Elber. The intersection of two ruled surfaces. To appear in Computer-Aided Design, 1999.
9. J. Hoschek and D. Lasser. Fundamentals of Computer Aided Geometric Design. A.K. Peters, Wellesley, MA, 1993.
10. J. Johnstone. A new intersection algorithm for cyclides and swept surfaces using circle decomposition. Computer Aided Geometric Design, 10(1):1-24, February 1993.
11. J. Johnstone and C.-K. Shene. Computing the intersection of a plane and a natural quadric. Computers & Graphics, 16(2): 179-186, April 1992.
12. K.-J. Kim. Torus and Simple Surface Intersection Based on a Configuration Space Approach Ph.D. Thesis, Dept. of Computer Science, POSTECH, February 1998.
13. K.-J. Kim, M.-S. Kim, and K. Oh. Torus/sphere intersection based on a configuration space approach. Graphical Models and Image Processing, 60(1):77-92, January 1998. (Pubitemid 128407090)
14. K.-J. Kim and M.-S. Kim. Computing all conic sections in torus and natural quadric intersections. Proc. of Israel-Korea Bi-National Conference on New Themes in Computerized Geometric Modeling, Tel-Aviv, Israel, February 18-19, 1998, pages 11-20.
15. K.-J. Kim and M.-S. Kim. A simple algorithm for torus/sphere intersection. Proc. of Workshop on Differential/Topological Techniques in Geometric Modeling and Processing '98, Pohang, Korea, April 7-8, 1998, pages 205-214.
16. K.-J. Kim, M.-S. Kim, and R. Martin. Intersecting a translationally or rotationally swept surface with a plane or a sphere. Submitted for publication, 1998.
17. J. Levin. A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces. Commun. ACM, 19(10):555-563, October 1976.
18. J. Levin. Mathematical models for determining the intersections of quadric surfaces. Computer Graphics and Image Processing, 11(1):73-87, September 1979. (Pubitemid 10407302)
19. R. Martin, J. de Pont, and T. Sharrock. Cyclide surfaces in computer aided design. The Mathematics of Surfaces I, JA. Gregory (Ed.), Clarendon Press, Oxford, pages 253-267, 1986.
20. J. Miller. Geometric approaches to nonplanar quadric surface intersection curves. ACM Trans. on Graphics, 6(4):274-307, October 1987. (Pubitemid 18548196)
21. J. Miller and R. Goldman. Geometric algorithms for detecting and calculating all conic sections in the intersection of any two natural quadric surfaces. Graphical Models and Image Processing, 57(1):55-66, January 1995.
22. J. Miller and R. Goldman. Using tangent balls to find plane sections of natural quadrics. IEEE Computer Graphics & Applications, 12(2):68-82, March 1992.
23. N. Patrikalakis. Surface-to-surface intersections. IEEE Computer Graphics & Applications, 13(1): 89-95, January 1993.
24. L. Piegl. Geometric method of intersecting natural quadrics represented in trimmed surface form. Computer-Aided Design, 21(4):201-212, May 1989.
25. M. Pratt and A. Geisow. Surface/surface intersection problems. The Mathematics of Surfaces I, JA. Gregory (Ed.), Clarendon Press, Oxford, pages 117-142, 1986.
26. R. Sarraga. Algebraic methods for intersections of quadric surfaces in GMSOLID. Computer Vision, Graphics, and Image Processing, 22(2):222-238, 1983.
27. C.-K. Shene and J. Johnstone. Computing the intersection of a plane and a revolute quadric. Computers & Graphics, 18(1):47-59, January 1994.
28. W. Wang, B. Joe, and R. Goldman. Computing quadric surface intersections based on an analysis of plane cubic curves. Manuscript, 1997.
29. I. Wilf and Y. Manor. Quadric-surface intersection curves: Shape and structure. Computer-Aided Design, 25(10):633-643, October 1993.