Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning Implicit Functions for Topology-Varying Dense 3D Shape
  Correspondence   The goal of this paper is to learn dense 3D shape correspondence for
topology-varying objects in an unsupervised manner. Conventional implicit
functions estimate the occupancy of a 3D point given a shape latent code.
Instead, our novel implicit function produces a part embedding vector for each
3D point, which is assumed to be similar to its densely corresponded point in
another 3D shape of the same object category. Furthermore, we implement dense
correspondence through an inverse function mapping from the part embedding to a
corresponded 3D point. Both functions are jointly learned with several
effective loss functions to realize our assumption, together with the encoder
generating the shape latent code. During inference, if a user selects an
arbitrary point on the source shape, our algorithm can automatically generate a
confidence score indicating whether there is a correspondence on the target
shape, as well as the corresponding semantic point if there is one. Such a
mechanism inherently benefits man-made objects with different part
constitutions. The effectiveness of our approach is demonstrated through
unsupervised 3D semantic correspondence and shape segmentation.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con