The Community for Technology Leaders
RSS Icon
Issue No.06 - September (1983 vol.3)
pp: 61-69
Wayne Tiller , Structural Dynamics Research Corporation
Nonuniform, rational B-splines, capable of representing both precise quadric primitives and free-form curves and surfaces, offer an efficient mathematical form for geometric modeling systems.
Wayne Tiller, "Rational B-Splines for Curve and Surface Representation", IEEE Computer Graphics and Applications, vol.3, no. 6, pp. 61-69, September 1983, doi:10.1109/MCG.1983.263244
1. GEOMOD 2. User Manual , Structural Dynamics Research Corp. , Milford, OH 2000 Eastman Dr., 45150
2. A. L.Klosterman, R. H.Ard, and J. W.Klahs, “A Geometric Modeling Program for the System Designer,” Proc. Conf CAD/CAM Technology in Mechanical Engineering 1982 MIT
3. Boor, A Practical Guide to Splines , Springer-Verlag 1978
4. R. F.Riesenfeld, “Applications of B-Spline Approximation to Geometric Problems of Computer-Aided Design,” May 1973
5. B. A.Barsky and D. P.Greenberg, “Determining a Set of B-Spline Control Vertices to Generate an Interpolating Surface,” Computer Graphics and Image Processing Vol. 14, No. 3, pp. 203-226 Nov. 1980
6. W.Boehm, “Inserting New Knots into B-Spline Curves,” Computer-Aided Design Vol. 12, No. 4, pp. 199-201 July 1980
7. T.Dokken, “Some Geometry Calculations on B-Spline Curves,” Proc. CAD 82 (Mar. 1982, Brighton, Sussex, UK)pp. 323-330 Butterworth & Co.
8. P. J.Hartley and C. J.Judd, “Parametrisation and Shape of B-Spline Curves for CAD,” Computer-Aided Design Vol. 12, No. 5, pp. 235-238 Sept. 1980
9. J. M.Lane and R. F.Riesenfeld, “A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces,” IEEE Trans. Pattern Analysis and Machine Intelligence Vol. PAMI-2, No. 1, pp. 35-46 Jan. 1980
10. A. A.Ball, “CONSURF Part 2: Description of the Algorithms,” Computer-Aided Design Vol. 7, No. 4, pp. 237-242 July 1975
11. W.Boehm, Computer Graphics and Image Processing , 1982 Vol. 19, pp. 201-226
12. I. D.Faux and M. J.Pratt, Computational Geometry for Design and Manufacture , Ellis Horwood Ltd. 1979
13. A. R.Forrest, “The Twisted Cubic Curve: A Computer-Aided Geometric Design Approach,” Computer-Aided Design Vol. 12, No. 4, pp. 165-172 July 1980
14. J. K.Hinds and L. P.Kuan, “Sculptured Surface Technology as a Unified Approach to Geometric Definition,” 1979 technical paper MS79-146 Society of Manufacturing Engineers (SME)
15. M. S.Rowin, “Conic, Cubic and T-Conic Segments,” , The Boeing Company 1964 document no. D2-23252 98124
16. K. J.Versprille, “Computer-Aided Design Applications of the Rational B-Spline Approximation Form,” Feb. 1975
17. “Initial Graphics Exchange Specification (IGES), Version 2.0,” , National Technical Information Service document no. PB83-137448 5285 Port Royal Rd. 20161
18. E. A.Maxwell, The Methods of Plane Projective Geometry Based on the Use of General Homogeneous Coordinates , Cambridge Univ. Press 1946
19. W. M.Newman and R. F.Sproull, Principles of Interactive Computer Graphics , McGraw-Hill 1979
20. D. F.Rogers and J. A.Adams, Mathematical Elements for Computer Graphics , McGraw-Hill 1976
21. E. E.Catmull and J. H.Clark, “Recursively Generated B-Spline Surfaces on Arbitrary Topological Meshes,” Computer-Aided Design Vol. 10, No. 6, pp. 350-355 Nov. 1978
22. G. M.Chaikin, Computer Graphics and Image Processing , 1974 Vol. 3, pp. 346-349
23. E.Cohen, T.Lyche, and R.Riesenfeld, “Discrete B-Splines and Subdivision Techniques in Computer-Aided Geometric Design and Computer Graphics,” Computer Graphics and Image Processing Vol. 14, No. 2, pp. 87-111 Oct. 1980
24. R. F.Riesenfeld, “On Chaikin's Algorithm,” Computer Graphics and Image Processing Vol. 4, No. 3, pp. 304-310 Sept. 1975
18 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool