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Improved Laplacian Smoothing of Noisy Surface Meshes
Author(s) -
Vollmer J.,
Mencl R.,
Müller H.
Publication year - 1999
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.00334
Subject(s) - smoothing , polygon mesh , laplacian smoothing , computer science , laplace operator , surface (topology) , algorithm , mesh generation , point (geometry) , mathematical optimization , mathematics , computer graphics (images) , geometry , computer vision , finite element method , mathematical analysis , physics , thermodynamics
This paper presents a technique for smoothing polygonal surface meshes that avoids the well‐known problem of deformation and shrinkage caused by many smoothing methods, like e.g. the Laplacian algorithm. The basic idea is to push the vertices of the smoothed mesh back towards their previous locations. This technique can be also used in order to smooth unstructured point sets, by reconstructing a surface mesh to which the smoothing technique is applied. The key observation is that a surface mesh which is not necessarily topologically correct, but which can efficiently be reconstructed, is sufficient for that purpose.