Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Practical Reduction of Edge Flip Sequences in Two-Dimensional
  Triangulations   The development of laser scanning techniques has popularized the
representation of 3D shapes by triangular meshes with a large number of
vertices. Compression techniques dedicated to such meshes have emerged, which
exploit the idea that the connectivity of a dense mesh does not deviate much
from the connectivity that can be constructed automatically from the vertex
positions (while possibly being guided by additional codes). The edge flip is
one of the tools that can encode the differences between two meshes, and it is
important to control the length of a sequence of flips that transform one
triangulation into another. This paper provides a practical solution to this
problem. Indeed, the problem of determining a minimal sequence of edge flips
between two triangulations is NP-complete for some types of triangulations
including manifold triangulations of surfaces, so that it is necessary to
develop heuristics. Moreover, it is sometimes difficult to establish a first
sequence of flips between two meshes, and we advocate a solution based on the
reduction of an existing sequence. The new approach we propose is founded on
the assignment of labels to identify the edges, with a property of label
transfer during a flip. This gives a meaning to the tracking of an edge in a
sequence of flips and offers the exploitation of very simple combinatorial
properties. All the operations are performed directly on the sequence of labels
denoting the edges to be flipped, almost regardless of the underlying surface,
since only local temporary connectivity is involved.

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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: math-ph