4 citations · 12 across the 20 of their papers we have counts for
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3 papers · 1 filter
math.NA2014★ 4 cited
Convergence properties of a geometric mesh smoothing algorithm
Dimitris Vartziotis, Doris Bohnet
We describe a simple geometric transformation of triangles which leads to an efficient and effective algorithm to smooth triangle and tetrahedral meshes. Our focus lies on the conv…
math.NA2014
A geometric mesh smoothing algorithm related to damped oscillations
Dimitris Vartziotis, Doris Bohnet
We introduce a smoothing algorithm for triangle, quadrilateral, tetrahedral and hexahedral meshes whose centerpiece is a simple geometric triangle transformation. The first part fo…
math.OC2014★ 2 cited
Laplacian smoothing revisited
Dimitris Vartziotis, Benjamin Himpel
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…