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7: A Primer on Shapes: Curves and Surfaces

Sunday, Tutorial, 10 am - noon
Room 502B

Shape representations employed for design should enable easy shape specification and modification, while those used for recovery should readily accommodate unstructured shape data. This tutorial investigates curve and surface representations that are effective for shape design and shape recovery. Attendees learn how to choose the representation most appropriate for a given design or recovery task and dataset.

Some knowledge of parametric curves and surfaces. Familiarity with range and/or tomographic data.

Parametric curves and surfaces for design. Bézier, B-spline, rational Bézier, NURBS, and dynamic NURBS representations. Design issues. Grouping and parametrizing scattered points for curve and surface fitting. Thin-plate splines. Rational Gaussian curves and surfaces.

Ardeshir Goshtasby
Wright State University

Alyn Rockwood
Colorado School of Mines

Demetri Terzopoulos
New York University