Volume preserving smoothing of triangular isotropic three-dimensional surface meshes
| Autor: | D. Rypl, J. Nerad |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Isotropy
General Engineering 020207 software engineering 02 engineering and technology Volume mesh Classification of discontinuities Curvature Topology 01 natural sciences 010101 applied mathematics Simple (abstract algebra) 0202 electrical engineering electronic engineering information engineering Applied mathematics Polygon mesh 0101 mathematics Laplacian smoothing Software Smoothing Mathematics |
| Zdroj: | Advances in Engineering Software. 101:3-26 |
| ISSN: | 0965-9978 |
| DOI: | 10.1016/j.advengsoft.2016.01.016 |
| Popis: | The present paper deals with the volume preserving smoothing of triangular isotropic meshes over three-dimensional surfaces. The adopted approach is based on Laplacian smoothing combining in an alternating manner positive and negative weights in consecutive cycles of the smoothing. Since the aim is to improve the shape of individual elements of the mesh rather than to get rid of aźnoise, the weights are derived in aźvery simple way using aź"do not harm" concept. The paper also extends the smoothing methodology from meshes on closed surfaces to meshes on open surfaces and discusses how the concept can be applied to meshes over surfaces with sharp features and curvature discontinuities. The performance and capabilities of the presented smoothing approach are demonstrated on several examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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