Corpus ID: 116989963

Laplacian smoothing revisited

@article{Vartziotis2014LaplacianSR,
  title={Laplacian smoothing revisited},
  author={Dimitris Vartziotis and Benjamin Himpel},
  journal={arXiv: Optimization and Control},
  year={2014}
}
  • Dimitris Vartziotis, Benjamin Himpel
  • Published 2014
  • Mathematics
  • arXiv: Optimization and Control
  • We show that the driving force behind the regularizing effect of Laplacian smoothing on surface elements is the popular mean ratio quality measure. We use these insights to provide natural generalizations to polygons and polyhedra. The corresponding functions measuring the quality of meshes are easily seen to be convex and can be used for global optimization-based untangling and smoothing. Using a simple backtracking line-search we compare several smoothing methods with respect to the resulting… CONTINUE READING

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