Landmark matching via large deformation diffeomorphisms

@article{Joshi2000LandmarkMV,
  title={Landmark matching via large deformation diffeomorphisms},
  author={Sarang C. Joshi and Michael I. Miller},
  journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society},
  year={2000},
  volume={9 8},
  pages={
          1357-70
        }
}
  • S. Joshi, M. Miller
  • Published 1 August 2000
  • Mathematics, Computer Science, Medicine
  • IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
This paper describes the generation of large deformation diffeomorphisms phi:Omega=[0,1]3<-->Omega for landmark matching generated as solutions to the transport equation dphi(x,t)/dt=nu(phi(x,t),t),epsilon[0,1] and phi(x,0)=x, with the image map defined as phi(.,1) and therefore controlled via the velocity field nu(.,t),epsilon[0,1]. Imagery are assumed characterized via sets of landmarks {xn, yn, n=1, 2, ..., N}. The optimal diffeomorphic match is constructed to minimize a running smoothness… 
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