Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Curvature line parametrization from circle patterns   We study local and global approximations of smooth nets of curvature lines
and smooth conjugate nets by respective discrete nets (circular nets and planar
quadrilateral nets) with infinitesimal quads. It is shown that choosing the
points of discrete nets on the smooth surface one can obtain second-order
approximation globally. Also a simple geometric construction for approximate
determination of principal directions of smooth surfaces is given.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an