4 citations · 12 across the 20 of their papers we have counts for
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math.MG2013★ 1 cited
Regularizations of non-euclidean polygons
Dimitris Vartziotis, Doris Bohnet
We are interested in easy geometric transformations which regularize n-polygons in the non-euclidean plane. A transformation is called easy if it can be easily implemented into an…
cs.CG2013
Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes
Dimitris Vartziotis, Benjamin Himpel
Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for m…
math.GT2013★ 2 cited
Efficient Mesh Optimization Using the Gradient Flow of the Mean Volume
Dimitris Vartziotis, Benjamin Himpel
The signed volume function for polyhedra can be generalized to a mean volume function for volume elements by averaging over the triangulations of the underlying polyhedron. If we c…