26. Introduction to Curves and Surfaces
Full Day / Beginning
The most commonly encountered concepts from CAGD are introduced using interactive demos and animations in an electronic book. Concepts include Bézier and B-spline curves and surfaces, their salient properties, and methods to handle them. Breakout sessions with all four speakers will be provided after the main presentation, both morning and afternoon.
Who Should Attend
CAD developers, programmers, analysts, animators, technical managers, researchers, and educators who want an introduction to curve and surface theory.
Arizona State University
Apple Computer, Inc.
8:30 am: IntroductionShort history and current application domains.
9:00 am: Bezier curves IThe Definition, Bernstein polynomials, the de Casteljau algorithm, subdivision, and properties of the curve.
Derivatives, piecewise Bezier curves and geometric continuity.
10:00 am: Break
10:15 am: BlossomingThe rules of blossoming, how to derive the Bezier curve and its properties, B-spline curves and its properties from blossoms.
11:15 am: First breakout sessionQuestions and answers, review specific topics in depth, more complete demos and animations.
12:00 noon: Break
1:30 pm: B-spline Curves - traditional approachde Boor algorithm, knot insertion, B-spline to Bezier conversion
2:45 pm: Tensor product surfacesSurfaces as bundles of curves, properties of the Bezier and B-spline surfaces
3:00 pm: Break
3:15 pm: Tensor product surfaces (continued)
4:00 pm: Applications - some real problems from CAGD
4:30 pm: Second breakout sessionQuestions and answers, review specific topics in depth, more complete demos and animations.
Courses | This Web Site
Final SIGGRAPH 96 Web site update: 25 October 1996.
For complete information on the next conference and exhibition, see: http/www.siggraph.org/s97/