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BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Applications of signed distance functions to motions of curves in the plane and integration over curves and surfaces Kublik, Catherine


We present two simple and efficient algorithmic frameworks using signed distance functions. The first one is a numerical scheme for computing certain area reserving geometric motion of curves in the plane, such as area preserving motion by curvature. The second is a general technique for integrating over curves and surfaces that are not defined by any explicit parameterization. This method is based on rewriting the curve or surface integral as a volumetric integral formulation over the ambient space. We show applications of both methods.

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