Fitting freeform multi-parameter shapes to 3D data points – A case study

Date issued

2009

Journal Title

Journal ISSN

Volume Title

Publisher

Václav Skala - UNION Agency

Abstract

We present an approach of geometric fitting of freeform shapes to 3D data points, where the size of the fitting problem is relatively large. The shapes studied represent ship propeller blades of dimension up to 3m, with precision requirements of few mm. Moreover, the shapes are freeform and designed using a geometric model dependent on hundreds of numerical parameters. For the ship industry it is crucial to optimally deal with the shape parameters in order to judge whether or not a particular manufactured part fits within the tolerances. We have developed a method to evaluate the shapes numerically and we report on the approach we took. The sensitivity of a deviation objective function with respect to critical design parameters could be acquired. Also some procedures for automated optimization were explored.

Description

Subject(s)

vrtule, geometrické tvary, optimalizace, geometrické tvary

Citation

WSCG '2009: Communication Papers Proceedings: The 17th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision in co-operation with EUROGRAPHICS: University of West Bohemia, Plzen, Czech Republic, February 2 - 5, 2009, p. 9-16.
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