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D. Rypl and J. Nerad

Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic

doi:10.4203/ccp.105.63

D. Rypl, J. Nerad, "Volume Conserving Smoothing of Triangular Meshes on Open Three-Dimensional Surfaces", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 63, 2014. doi:10.4203/ccp.105.63

Keywords: three-dimensional open surface, mesh optimization, Laplacian smoothing, volume conservation.

Summary

This paper deals with the volume preserving smoothing of triangular isotropic meshes over three-dimensional open 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 noise, the weights are derived in a very simple way using a "do-not-harm" concept. The paper also extends the application of the smoothing from closed surfaces to open surfaces and their combination. The performance and capabilities of the presented methodology are demonstrated on several examples.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 105 PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: Paper 63 Volume Conserving Smoothing of Triangular Meshes on Open Three-Dimensional Surfaces D. Rypl and J. Nerad Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic doi:10.4203/ccp.105.63 purchase the full-text of this paper Full Bibliographic Reference for this paper D. Rypl, J. Nerad, "Volume Conserving Smoothing of Triangular Meshes on Open Three-Dimensional Surfaces", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 63, 2014. doi:10.4203/ccp.105.63 Keywords: three-dimensional open surface, mesh optimization, Laplacian smoothing, volume conservation. Summary This paper deals with the volume preserving smoothing of triangular isotropic meshes over three-dimensional open 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 noise, the weights are derived in a very simple way using a "do-not-harm" concept. The paper also extends the application of the smoothing from closed surfaces to open surfaces and their combination. The performance and capabilities of the presented methodology are demonstrated on several examples. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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