Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degree reduction of disk rational B\'ezier curves   How to quickly and stably realize the degree reduction of the rational Bezier
curve is an open problem in CAGD. Based on the weighted least squares method
and weighted sum method of multi-objective optimization, this paper transforms
the degree reduction problem of the rational B\'ezier curve into a convex
optimization problem and then uses quadratic programming to solve it. Prove
that the solution is the minimum. Numerical experiments show that the method is
fast and stable.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci