[Insight-users] Regularization of deformable registration

[matthias.honal at uniklinik-freiburg.de]

Hi,

I would like to use regularization terms for deformable BSpline
registration in ITK. In (Rohlfing et al, Volume-Preserving Nonrigid
Registration of MR Breast Images Using Free-Form Deformation with an
Incompressibility Constraint, TMI 22(6), 2003) it is suggested to monitor
the Jacobian of the deformation field.
I found the itkDeformationFieldJacobianDeterminantFilter which might be
helpful in that context. To be able to actually use such a regularization
however, a penalty term which contains the jacobian must be included in the
cost function. Now I'm wondering whether something similar (which I
probably missed) is already implemented in ITK or whether the
itkDeformationFieldJacobianDeterminantFilter can be used in a more simple
way to achieve regularization? Otherwise, the ITK way to go would be to
implement a new cost function which includes the penalty term and an
efficient way to compute its derivative?

I would be happy about any comments to that problem or pointers to code
examples where something similar is already implemented in ITK.

Thanks a lot,
Matthias

____________________________
Matthias Honal
University Hospital Freiburg
Dept. of Diagnostic Radiology
Medical Physics
Hugstetter Str. 55
79106 Freiburg, Germany

Tel: (++49) 761 270 3922
Fax: (++49) 761 270 3831
Email: matthias.honal at uniklinik-freiburg.de