Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplacian2Mesh: Laplacian-Based Mesh Understanding   Geometric deep learning has sparked a rising interest in computer graphics to
perform shape understanding tasks, such as shape classification and semantic
segmentation on three-dimensional (3D) geometric surfaces. Previous works
explored the significant direction by defining the operations of convolution
and pooling on triangle meshes, but most methods explicitly utilized the graph
connection structure of the mesh. Motivated by the geometric spectral surface
reconstruction theory, we introduce a novel and flexible convolutional neural
network (CNN) model, called Laplacian2Mesh, for 3D triangle mesh, which maps
the features of mesh in the Euclidean space to the multi-dimensional
Laplacian-Beltrami space, which is similar to the multi-resolution input in 2D
CNN. Mesh pooling is applied to expand the receptive field of the network by
the multi-space transformation of Laplacian which retains the surface topology,
and channel self-attention convolutions are applied in the new space. Since
implicitly using the intrinsic geodesic connections of the mesh through the
adjacency matrix, we do not consider the number of the neighbors of the
vertices, thereby mesh data with different numbers of vertices can be input.
Experiments on various learning tasks applied to 3D meshes demonstrate the
effectiveness and efficiency of Laplacian2Mesh.

9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
16
The categories of this paper are: stat
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The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
7
The categories of this paper are: hep-th