Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Size-optimal Steiner points for Delaunay-refinement on curved surfaces   An extension of the restricted Delaunay-refinement algorithm for surface mesh
generation is described, where a new point-placement scheme is introduced to
improve element quality in the presence of mesh size constraints. Specifically,
it is shown that the use of off-centre Steiner points, positioned on the faces
of the associated Voronoi diagram, typically leads to significant improvements
in the shape- and size-quality of the resulting surface tessellations. The new
algorithm can be viewed as a Frontal-Delaunay approach -- a hybridisation of
conventional Delaunay-refinement and advancing-front techniques in which new
vertices are positioned to satisfy both element size and shape constraints. The
performance of the new scheme is investigated experimentally via a series of
comparative studies that contrast its performance with that of a typical
Delaunay-refinement technique. It is shown that the new method inherits many of
the best features of classical Delaunay-refinement and advancing-front type
methods, leading to the construction of smooth, high quality surface
triangulations with bounded radius-edge ratios and convergence guarantees.
Experiments are conducted using a range of complex benchmarks, verifying the
robustness and practical performance of the proposed scheme.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat