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Adaptive variational curve smoothing based on level set method |
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| Authors: | Yu Wang Songhe Song Zhijun Tan Desheng Wang |
| Institution: | 1. Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore;2. Department of Mathematics and System Science, School of Science, National University of Defense and Technology, Changsha, Hunan 410073, China;3. Singapore-MIT Alliance, 4 Engineering Drive 3, National University of Singapore, Singapore 117576, Singapore |
| Abstract: | 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. |
| Keywords: | Curve smoothing Level set method Adaptive meshing Finite volume method Unstructured meshes |
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