Open AccessMethods for anchoring boundary nodes when smoothing a triangular surface mesh
Author(s) -
S. S. Shumilin
Publication year - 2021
Publication title -
programmnye sistemy: teoriâ i priloženiâ
Language(s) - English
Resource type - Journals
ISSN - 2079-3316
DOI - 10.25209/2079-3316-2021-12-2-207-219
Subject(s) - smoothing , polygon mesh , distortion (music) , laplacian smoothing , boundary (topology) , computer science , triangle mesh , mesh generation , surface (topology) , process (computing) , anchoring , algorithm , mathematical optimization , mathematics , geometry , engineering , computer vision , structural engineering , finite element method , computer graphics (images) , mathematical analysis , amplifier , computer network , bandwidth (computing) , operating system
In numerical modeling tasks that use surface meshes, remeshing is often required. However, while remeshing, distortion can occur. The accumulation of distortions can lead to the collapse of the solution. Smoothing algorithms are used to maintain the quality of the mesh during the calculation. When performing smoothing using methods that shift the mesh nodes, the border nodes are usually fixed to avoid distortion. However, simply fixing the nodes can lead to more severe distortion. This paper presents methods for working with boundary nodes to control such nodes during the smoothing process. Algorithms for working with pseudo-3D surface meshes, which are of particular interest, are also considered.