Extensions of sweep surface constructions

Computers and Graphics (Pergamon)

Volumn 20, Issue 6 SPEC. ISS., 1996, Pages 893-903

  Marhl, Marko ^a   Guid, Nikola ^a   Oblonšek, Črtomir ^a   Horvat, Matjaž ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; MATRIX ALGEBRA; PARAMETER ESTIMATION; SURFACES; VECTORS;

FRENET FRAME METHOD; SWEEP SURFACES;

ANTI-ALIASING;

EID: 0030284242     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0097-8493(96)00059-3     Document Type: Article

References (42)

1. Joy, K. I., Visualization of swept hyperpatch solids. In Visual Computing, ed. T. L. Kunii. Springer, Tokyo, 1992, pp. 567-581.
2. Casale, M. S. and Stanton, E. L., An overview of analytic solid modeling. IEEE Computer Graphics and Applications, 1985, 5(2), 45-56.
3. Farouki, R. T. and Hinds, J. K., A hierarchy of geometric forms. IEEE Computer Graphics and Applications, 1985, 5(5), 51-78.
4. Martin, R. R. and Stephenson, P. C., Sweeping of three-dimensional objects. Computer-Aided Design, 1990, 22(4), 223-234.
5. Flaquer, J., Garate, G. and Pargada, M., Envelopes of moving quadric surfaces. Computer-Aided Geometric Design, 1992, 9, 299-312.
6. van Wijk, J. J., Ray tracing objects defined by sweeping a sphere. In Proceedings of Eurographics '84, North-Holland, Amsterdam, 1984, pp.73-82.
7. 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.
8. Varady, T. and Pratt, M. J., Design technique for the definition of solid objects with free-form geometry. Computer-Aided Geometric Design, 1984, 1, 207-225.
9. Akman, V. and Arslan, A., Sweeping with all graphical ingredients in a topological picturebook. Computers & Graphics, 1992, 16, 273-281.
10. Marhl, M. and Akman, V., On the correct determination of rotational angles for twisted-profiled sweep objects. Computers & Graphics, 1994, 18, 691-694.
11. Riesenfeld, R. F., Modeling with NURBS curves and surfaces. In Fundamental Developments of Computer-Aided Geometric Modeling, ed. L. A. Piegl. Academic Press, San Diego, 1993, pp. 77-79.
12. Jansen, E., Bronsvoort, W. and Post, F., Design and display of solid models. Eurographics '90, Tutorial Note, 1990.
13. Klok, F., Two moving coordinate frames for sweeping along a 3D trajectory. Computer-Aided Geometric Design, 1986, 3, 217-229.
14. Bronsvoort, W. F., Direct Display Algorithms for Solid Modelling, Delft University Press, Delft, 1990.
15. Bronsvoort, W. F. and Waarts, J. J., A method for converting the surface of a generalized cylinder into a B-spline surface. Computers & Graphics, 1992, 16(2), 175-178.
16. Bronsvoort, W. F., A surface-scanning algorithm for displaying generalized cylinders. The Visual Computer, 1992, 8, 162-170.
17. Shani, U. and Ballard, D. H., Splines as embeddings for generalised cylinders. Computer Vision, Graphics and Image Processing, 1984, 27, 129-156.
18. Bronsvoort, W. F., van Niewenhuizen, P. R. and Post, F. H., Display of profiled sweep objects. The Visual Computer, 1989, 5, 147-157.
19. Bronsvoort, W. F. and Klok, F., Ray tracing generalized cylinders. ACM Transactions in Graphics, 1985, 4, 291-303.
20. Bronsvoort, W. F., Corrigendum: Ray tracing generalized cylinders. ACM Transactions in Graphics, 1987, 6, 238-239.
21. van Wijk, J. J., Ray tracing objects defined by sweeping planar cubic splines. ACM Transactions in Graphics, 1994, 3, 223-237.
22. Semwal, S. K. and Hallauer, J. J., Biomechanical modelling: implementing line-of-action algorithm for human muscles and bones using generalised cylinders. Computers & Graphics, 1994, 18, 105-112.
23. Bin, H., Inputting constructive solid geometry representations directly from 2D orthographies engineering drawings. Computer-Aided Design, 1986, 18, 147-155.
24. Hsu, J. and Chelberg, D. M., Visible light and X-ray ray tracing of generalized cylinders. CVGIP: Graphical Models and Image Processing, 1994, 56, 392-401.
25. Piegl, L. and Tiller, W., Curve and surface constructions using rational B-splines. Camputer-Aided Design, 1987, 19, 485-498.
26. Bidasaria, H. B., A method for ray tracing a wide class of generalized cylinders with straight line trajectories. CVGIP: Graphical Models and Image Processing, 1991, 53, 101-107.
27. Coquillart, S., A control-point-based sweeping technique. IEEE Computer Graphics and Applications, 1987, 7(11), 36-45.
28. Piegl, L., On NURBS: a survey. IEEE Computer Graphics and Applications, 1991, 11(1), 55-71.
29. Woodward, C. D., Cross-sectional design of B-spline surfaces. Computers & Graphics, 1987, 11, 193-201.
30. Guid, N., Žalik, B., Likar, M., Horvat, M., Oblonšek, Č. and Trstenjak, N., SURFMOD: Algorithms - functional description. Computer graphics report series, 1(4), Faculty of Technical Sciences, Maribor, Slovenia, 1994.
31. Piegl, L., Infinite control points - a method for representing surfaces of revolution using boundary data. IEEE Computer Graphics and Applications, 1987, 7(3), 45-55.
32. Post, F. H. and Klok, F., Deformations of sweep objects in solid modelling. Report 86-11, Department of Mathematics and Informatics, Delft University of Technology, Delft, 1986.
33. Rogers, D. F. and Adams, J. A., Mathematical Elements for Computer Graphics, McGraw-Hill, New York, 1989.
34. Bloomenthal, M., Approximation of sweep surfaces by tensor product B-splines. Technical Report UUCS-88-008, Department of Computer Science, The University of Utah, 1988.
35. Roche, M., Defining a faceted generalised cylinders by projections of cross sections. Computers & Graphics, 1989, 13, 349-354.
36. Guggenheimer, H., Computing frames along a trajectory. Computer-aided Geometric Design, 1989, 6, 77-78.
37. Siltan, P. and Woodward, C., Normal orientation methods for 3D offset curves, sweep surfaces, and skinning. Computer Graphics Forum, 1992, 11, 449-457.
38. Sabata, B. and Aggarwal, J. K., Estimation of motion from a pair of range images: a review. CVGIP: Image Understanding, 1991, 54, 309-324.
39. Choi, B. K. and Lee, C. S., Sweep surfaces modelling via coordinate transformations and blending. Computer-aided Design, 1990, 22, 87-96.
40. Coquillart, S., Computing offsets of B-spline curves. Computer-Aided Design, 1987, 19, 305-309.
41. Boehm, W., Inserting new knots into B-spline curves. Computer-Aided Design, 1980, 12, 199-201.
42. Boehm, W., Generating the Bézier points of B-spline curves and surfaces. Computer-Aided Design, 1981, 13, 365-366.