We introduce a new formulation for the motion of curves in R 2 (easily extendable to the motion of surfaces in R 2), when the original motion generally corresponds to an ill-posed problem such as the ...
We provide a new approach for computing integrals over hypersurfaces in the level set framework. The method is based on the discretization (via simple Riemann sums) of the classical formulation used ...
Methods for simulating sharp interfaces. Marker particle, level set, fast marching, volume of fluid, and phase field methods. Recommended text: Level Set Methods and Fast Marching Methods: Evolving ...
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