Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clothoid Fitting and Geometric Hermite Subdivision   We consider geometric Hermite subdivision for planar curves, i.e.,
iteratively refining an input polygon with additional tangent or normal vector
information sitting in the vertices. The building block for the (nonlinear)
subdivision schemes we propose is based on clothoidal averaging, i.e.,
averaging w.r.t. locally interpolating clothoids, which are curves of linear
curvature. To define clothoidal averaging, we derive a new strategy to
approximate Hermite interpolating clothoids. We employ the proposed approach to
define the geometric Hermite analogues of the well-known Lane-Riesenfeld and
four-point schemes. We present results produced by the proposed schemes and
discuss their features. In particular, we demonstrate that the proposed schemes
yield visually convincing curves.

27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess