Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SurfCut: Surfaces of Minimal Paths From Topological Structures   We present SurfCut, an algorithm for extracting a smooth, simple surface with
an unknown 3D curve boundary from a noisy 3D image and a seed point. Our method
is built on the novel observation that certain ridge curves of a function
defined on a front propagated using the Fast Marching algorithm lie on the
surface. Our method extracts and cuts these ridges to form the surface
boundary. Our surface extraction algorithm is built on the novel observation
that the surface lies in a valley of the distance from Fast Marching. We show
that the resulting surface is a collection of minimal paths. Using the
framework of cubical complexes and Morse theory, we design algorithms to
extract these critical structures robustly. Experiments on three 3D datasets
show the robustness of our method, and that it achieves higher accuracy with
lower computational cost than state-of-the-art.

13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ