Loading...
research article
Mixture Of Kernels And Iterated Semidirect Product Of Diffeomorphisms Groups
Bruveris, Martins
•
Risser, Laurent
•
Vialard, Francois-Xavier
In the framework of large deformation diffeomorphic metric mapping (LDDMM), a multiscale theory for the diffeomorphism group is developed based on previous works of the authors. The purpose of this paper is (1) to develop in detail a variational approach for multiscale analysis of diffeomorphisms, (2) to generalize to several scales the the semidirect product representation, and (3) to illustrate the resulting diffeomorphic decomposition on synthetic and real images. We also show that the so-called kernel bundle method and the mixture of kernels are equivalent.
Type
research article
Web of Science ID
WOS:000312702100009
Authors
Bruveris, Martins
•
Risser, Laurent
•
Vialard, Francois-Xavier
Publication date
2012
Publisher
Published in
Volume
10
Issue
4
Start page
1344
End page
1368
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 28, 2013
Use this identifier to reference this record