Geometry And Topology

Download A survey of the spherical space form problem by J. F. Davis PDF

By J. F. Davis

ISBN-10: 3718602504

ISBN-13: 9783718602506

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To adequately sample all the features of a model, we employ a parametrization distortion metric based on stretch minimisation. We minimise this nonlinear metric each time a new vertex is introduced, by locally optimising its location and those of its immediate neighbours. 5, we also perform a global pass, optimising all vertices introduced so far. When optimising any vertex, we constrain it to the kernel of its neighbourhood, to prevent ﬂips. Degenerate triangles are prevented naturally by the stretch metric, which becomes inﬁnite in that case.

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