Várady, Tamás
(BME VIT IIT)
N-sided,
free-form surfaces in computer-aided geometric design
The digital model of complex free-form objects is composed of a collection
of free-form surfaces, generally defined by parametric surface equations. These
surfaces (patches) typically interpolate a general topology free-form curve
network; they must have sufficient degrees of freedom for design, produce
aesthetic interiors and smooth connections.
We will investigate the well-known Bézier curves and surfaces, and their properties. We will show that quadrilateral, tensor product Bézier surfaces are often not sufficient for complex designs, and the use of N-sided patches is inevitable. A mathematical construction of generalized Bézier surfaces will be presented. We are going to discuss how the domain, the parameterization, the basis functions and the control structures need to be modified, while preserving the original properties of the quadrilateral patches.
The talk is held in
English!
Az előadás nyelve angol!
Date: Oct 8, Tuesday 4:15pm
Place: BME, Building „Q”, Room
QBF13