Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Stability of Convergence of Curve Evolutions in Vector Fields   Curve evolution is often used to solve computer vision problems. If the curve
evolution fails to converge, we would not be able to solve the targeted problem
in a lifetime. This paper studies the theoretical aspect of the convergence of
a type of general curve evolutions. We establish a theory for analyzing and
improving the stability of the convergence of the general curve evolutions.
Based on this theory, we ascertain that the convergence of a known curve
evolution is marginal stable. We propose a way of modifying the original curve
evolution equation to improve the stability of the convergence according to our
theory. Numerical experiments show that the modification improves the
convergence of the curve evolution, which validates our theory.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph