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Inert, spherical heterogeneities can pin three-dimensional scroll waves inthe excitable Belousov-Zhabotinsky reaction. Three pinning sites causeinitially circular rotation backbones to approach equilateral triangles. Theresulting stationary shapes show convex deviations that increase withdecreasing anchor radii. This dependence is interpreted as a transition betweenfilament termination at large surfaces and true, local pinning of a continuouscurve. The shapes of the filament segments are described by a hyperbolic cosinefunction which is predicted by kinematic theory that considers filament tensionand rigidity. The latter value is measured as (1.0 $\pm$ 0.7)$\times$$10^{-6}$cm$^4$/s.

Analysis of Anchor-Size Effects on Pinned Scroll Waves and Measurement of Filament Rigidity