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Literature Review Art894x12 History of Computer Graphics Instructor: Wayne Carlson, Autumn Quarter 2000 |
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Literature Review: Freeform Curves and Surfaces page 1 - Introduction page 2 - B-Splines and Beta Splines page 3 - Important Terms page 4 - Bibliography page 5 - types of curves page 6 - patches of different resolutions page 7 - merging two patches page 8 - timeline |
Research at the University of Utah: The major breakthroughs in in CAGD were the theory of Bezier surfaces and Coons patches which were later combined with B-spline methods. E. Catmull, a computer scientist at Utah, developed the first algorithm for the display of curved surfaces in 1974. In the same year a CAGD Conference at the University of Utah included discussion of B-Splines by R. Barnhill. B-Splines and Beta-Splines: Some notable research done on B-splines was done by M. Cox in 1971, C. de Boor in 1972, W. Boehm in1980, G. Farin in 1982, and T. DeRose in 1988. I. Faux and M. Pratt wrote about B-Splines from a CAD / CAM viewpoint in 1979 applying computer graphics to manufacturing like Bezier. The Beta-Spline, which a generalization of the uniform cubic B-Spline, was essentialy developed by B. Barsky. at the University of California, Berkeley in 1981. Barsky was on of the curve researchers group called łthe Killer Bs˛ which included R. Bartel and J. Beatty from the University of Waterloo, in Ontario. Many variations of B-Splines have been developed since the 1970s and 80s including NURBS (nonuniform rational B-splines) as described by W. Tiller in 1983, Subdivision Curves, and Trimmed Surfaces as described by R. Farouki and J. Hines in 1985. |
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[ Research Paper: Xerox PARC and the GUI ] [ Critical Review: Planet Paranoid ] [ Literature Review: Free-form curves and surfaces ] |