Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries of discrete curves and point clouds via trigonometric
  interpolation   We formulate a simple algorithm for computing global exact symmetries of
closed discrete curves in plane. The method is based on a suitable
trigonometric interpolation of vertices of the given polyline and consequent
computation of the symmetry group of the obtained trigonometric curve. The
algorithm exploits the fact that the introduced unique assigning of the
trigonometric curve to each closed discrete curve commutes with isometries. For
understandable reasons, an essential part of the paper is devoted to
determining rotational and axial symmetries of trigonometric curves. We also
show that the formulated approach can be easily applied on nonorganized clouds
of points. A functionality of the designed detection method is presented on
several examples.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an