Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximating rational Bezier curves by constrained Bezier curves of
  arbitrary degree   In this paper, we propose a method to obtain a constrained approximation of a
rational B\'{e}zier curve by a polynomial B\'{e}zier curve. This problem is
reformulated as an approximation problem between two polynomial B\'{e}zier
curves based on weighted least-squares method, where weight functions
$\rho(t)=\omega(t)$ and $\rho(t)=\omega(t)^{2}$ are studied respectively. The
efficiency of the proposed method is tested using some examples.

32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas