Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and
  Multi-View Reconstruction   Triangulated meshes have become ubiquitous discrete-surface representations.
In this paper we address the problem of how to maintain the manifold properties
of a surface while it undergoes strong deformations that may cause topological
changes. We introduce a new self-intersection removal algorithm, TransforMesh,
and we propose a mesh evolution framework based on this algorithm. Numerous
shape modelling applications use surface evolution in order to improve shape
properties, such as appearance or accuracy. Both explicit and implicit
representations can be considered for that purpose. However, explicit mesh
representations, while allowing for accurate surface modelling, suffer from the
inherent difficulty of reliably dealing with self-intersections and topological
changes such as merges and splits. As a consequence, a majority of methods rely
on implicit representations of surfaces, e.g. level-sets, that naturally
overcome these issues. Nevertheless, these methods are based on volumetric
discretizations, which introduce an unwanted precision-complexity trade-off.
The method that we propose handles topological changes in a robust manner and
removes self intersections, thus overcoming the traditional limitations of
mesh-based approaches. To illustrate the effectiveness of TransforMesh, we
describe two challenging applications, namely surface morphing and 3-D
reconstruction.

37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph