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Discrete Gradient Flows on surfaces using subdivision
Author(s) -
Grundel Sara
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210361
Subject(s) - subdivision , subdivision surface , balanced flow , curvature , computer graphics , flow (mathematics) , range (aeronautics) , computer science , algorithm , mathematical optimization , graphics , computer graphics (images) , mathematics , geometry , mathematical analysis , materials science , polygon mesh , engineering , composite material , civil engineering
Gradient flows on surfaces play a role in a wide range of applications, for example in biological modelling, computer graphics and shape optimization. We present an approach to compute a discrete gradient flow by using a newly developed C 2 ‐smooth subdivision algorithm. We will briefly present the subdivision algorithm and how we can use it to compute the mean curvature flow. This method can be used similarly for many other gradient flows. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)