Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular solutions, momentum maps and computational anatomy   This paper describes the variational formulation of template matching
problems of computational anatomy (CA); introduces the EPDiff evolution
equation in the context of an analogy between CA and fluid dynamics; discusses
the singular solutions for the EPDiff equation and explains why these singular
solutions exist (singular momentum map). Then it draws the consequences of
EPDiff for outline matching problem in CA and gives numerical examples.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
27
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
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th