A Primer on Shapes: Curves and Surfaces
Sunday, Tutorial, 10 am - noon
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.
Wright State University
Colorado School of Mines
New York University