SIGGRAPH 96
Courses

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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Final SIGGRAPH 96 Web site update: 25 October 1996.
For complete information on the next conference and exhibition, see: http/www.siggraph.org/s97/