The SFB program expired on September 30, 2008. For the link to the successor project click DK Computational Mathematics
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People

Abstract




This project aims to combine numerical and symbolic methods of scientific computing in order to develop advanced methods for the design and construction, the analysis, and for the simulation and optimization of free-form shapes. The free-form curves and surfaces will mainly be described by their implicit representations, as the zero contours of bivariate and trivariate spline functions, i.e., by algebraic spline curves and surfaces. Traditionally, most techniques of Computer Aided Design (CAD) rely on parametric representations (Non-Uniform Rational B-Spline (NURBS) curves and surfaces) in order to describe free form shapes. The use of algebraic spline curves and surfaces, however, offers several computational advantages. For instance, the problem of fitting curves and surfaces to scattered data, which is a fundamental task in various applications (e.g., in reverse engineering of geometric objects), can be solved without generating auxiliary triangulations and parameterizations of the data. In addition, algorithms for basic geometric operations, including intersections with lines and foot point generation, are much easier to implement.

Objectives

This project consists of four parts:

See www.ag.jku.at for further information.

People

Principal Investigator
Prof. Dr. Josef Schicho 5231  mail

Co-Investigators
Prof. Dr. Bert Jüttler 9178  mail

Scientific Staff
Mag. Szilvia Béla   mail
DI Mario Kapl 7175  mail

Publications

List of Publications.

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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund