Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coverage Axis: Inner Point Selection for 3D Shape Skeletonization   In this paper, we present a simple yet effective formulation called Coverage
Axis for 3D shape skeletonization. Inspired by the set cover problem, our key
idea is to cover all the surface points using as few inside medial balls as
possible. This formulation inherently induces a compact and expressive
approximation of the Medial Axis Transform (MAT) of a given shape. Different
from previous methods that rely on local approximation error, our method allows
a global consideration of the overall shape structure, leading to an efficient
high-level abstraction and superior robustness to noise. Another appealing
aspect of our method is its capability to handle more generalized input such as
point clouds and poor-quality meshes. Extensive comparisons and evaluations
demonstrate the remarkable effectiveness of our method for generating compact
and expressive skeletal representation to approximate the MAT.

25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph