Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Divergence-Free Shape Interpolation and Correspondence   We present a novel method to model and calculate deformation fields between
shapes embedded in $\mathbb{R}^D$. Our framework combines naturally
interpolating the two input shapes and calculating correspondences at the same
time. The key idea is to compute a divergence-free deformation field
represented in a coarse-to-fine basis using the Karhunen-Lo\`eve expansion. The
advantages are that there is no need to discretize the embedding space and the
deformation is volume-preserving. Furthermore, the optimization is done on
downsampled versions of the shapes but the morphing can be applied to any
resolution without a heavy increase in complexity. We show results for shape
correspondence, registration, inter- and extrapolation on the TOSCA and FAUST
data sets.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ