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Adaptive variational curve smoothing based on level set method

机译:基于水平集方法的自适应变分曲线平滑

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摘要

This paper presents an adaptive method for variational curve smoothing based on level set implementation. A suitable cost functional is minimized via solving the derived Euler-Lagrangian equation, of which the discretization is conducted on unstructured triangular meshes by employing a simple and effective finite volume scheme. Through adaptive refinement of the mesh, the geometry features of the given curve can be well resolved in a cost-effective way. Various numerical experiments demonstrate the effectiveness and efficiency of the proposed approach.
机译:本文提出了一种基于水平集实现的变分曲线平滑自适应方法。通过求解导出的Euler-Lagrangian方程,最小化了合适的成本函数,该方程通过采用简单有效的有限体积方案在非结构化三角形网格上进行离散化。通过自适应细化网格,可以以经济有效的方式很好地解决给定曲线的几何特征。各种数值实验证明了该方法的有效性和效率。

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