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. Organizer Alyn Rockwood Arizona State University Lecturers Hans Hagen Universität Kaiserslautern Pete Chambers VLSI Technology Thomas McInerney Apple Computer, Inc. Schedule 8:30 am: Introduction Short history and current application domains. 9:00 am: Bezier curves I The 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: Blossoming The 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 session Questions and answers, review specific topics in depth, more complete demos and animations. 12:00 noon: Break 1:30 pm: B-spline Curves - traditional approach de Boor algorithm, knot insertion, B-spline to Bezier conversion uniform/nonuniform, properties. 2:45 pm: Tensor product surfaces Surfaces 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 session Questions and answers, review specific topics in depth, more complete demos and animations.

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