Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology-Preserving Shape Reconstruction and Registration via Neural
  Diffeomorphic Flow   Deep Implicit Functions (DIFs) represent 3D geometry with continuous signed
distance functions learned through deep neural nets. Recently DIFs-based
methods have been proposed to handle shape reconstruction and dense point
correspondences simultaneously, capturing semantic relationships across shapes
of the same class by learning a DIFs-modeled shape template. These methods
provide great flexibility and accuracy in reconstructing 3D shapes and
inferring correspondences. However, the point correspondences built from these
methods do not intrinsically preserve the topology of the shapes, unlike
mesh-based template matching methods. This limits their applications on 3D
geometries where underlying topological structures exist and matter, such as
anatomical structures in medical images. In this paper, we propose a new model
called Neural Diffeomorphic Flow (NDF) to learn deep implicit shape templates,
representing shapes as conditional diffeomorphic deformations of templates,
intrinsically preserving shape topologies. The diffeomorphic deformation is
realized by an auto-decoder consisting of Neural Ordinary Differential Equation
(NODE) blocks that progressively map shapes to implicit templates. We conduct
extensive experiments on several medical image organ segmentation datasets to
evaluate the effectiveness of NDF on reconstructing and aligning shapes. NDF
achieves consistently state-of-the-art organ shape reconstruction and
registration results in both accuracy and quality. The source code is publicly
available at https://github.com/Siwensun/Neural_Diffeomorphic_Flow--NDF.

9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
2
The categories of this paper are: math