Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Robust Grid-Based Meshing Algorithm for Embedding Self-Intersecting
  Surfaces   The creation of a volumetric mesh representing the interior of an input
polygonal mesh is a common requirement in graphics and computational mechanics
applications. Most mesh creation techniques assume that the input surface is
not self-intersecting. However, due to numerical and/or user error, input
surfaces are commonly self-intersecting to some degree. The removal of
self-intersection is a burdensome task that complicates workflow and generally
slows down the process of creating simulation-ready digital assets. We present
a method for the creation of a volumetric embedding hexahedron mesh from a
self-intersecting input triangle mesh. Our method is designed for efficiency by
minimizing use of computationally expensive exact/adaptive precision
arithmetic. Although our approach allows for nearly no limit on the degree of
self-intersection in the input surface, our focus is on efficiency in the most
common case: many minimal self-intersections. The embedding hexahedron mesh is
created from a uniform background grid and consists of hexahedron elements that
are geometrical copies of grid cells. Multiple copies of a single grid cell are
used to resolve regions of self-intersection/overlap. Lastly, we develop a
novel topology-aware embedding mesh coarsening technique to allow for
user-specified mesh resolution as well as a topology-aware tetrahedralization
of the hexahedron mesh.

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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas