Discrete Willmore Flow on surfaces using
Subdivision
Sara Grundel, MPI Magdeburg
Thomas Yu, Drexel University, Philadelphia USA
Jingmin Chen, Drexel University, Philadelphia USA
Gradient flows on surfaces play a role in a wide range of applications, for
example in biological modeling, computer graphics and shape optimization. We
present a new 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 any gradient flow. We
will study the discrete Willmore flow and its application in detail. One of the
advantages of this subdivision approach is that it can be refined adaptively very
easily. In this approach the surface is given explicitly as a triangular mesh.
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