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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 49
Computing Discrete Minimal Surfaces and Their Conjugates U. Pinkall, K. Polthier
We present a new algorithm to compute stable discrete minimal surfaces bounded by a number of fixed or free boundary curves in {f R}$^3$, {f S}$ ^3$ and {f H$^3$}. The algorithm makes no restriction on the genus and can handle singular triangulations. For a discrete harmonic map a conjugation process is presented leading in case of minimal surfaces additionally to instable solutions of the free boundary value problem for minimal surfaces. Symmetry properties of boundary curves are respected during conjugation.
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