Title: Visual Stability Analysis of Free Form Surfaces (S. Hahmann)

We investigate the stability of free form surfaces vs. infinitesimal bendings. It can be shown that for each infinitesimal bending exists an unique rotation vector field. More the rotation vectors vary in direction and length in a surface region, more the surface is likely to bend. This property is used for visualizing the unstable surface regions with respect to infinitesimal bendings. The stability analysis of two different surfaces is shown. The colors mapped onto the surface visualize the local behaviour of the rotation vectors, which are the stability indicators. More the rotation vectors vary in direction and length (more the colors change locally) less the surface is stable in that region.

Colomap which associates to each normalized rotation vector the corresponding color of the following colored unit sphere:


(three different views)

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