Volume preserving image registration via a post-processing stage | Zendy

Reinhard Hameeteman | Zendy; Jifke F. Veenland | Zendy; Wiro J. Niessen | Zendy

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Volume preserving image registration via a post-processing stage

Author(s) -

Reinhard Hameeteman,

Jifke F. Veenland,

Wiro J. Niessen

Publication year - 2008

Publication title -

proceedings of spie, the international society for optical engineering/proceedings of spie

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.192

H-Index - 176

eISSN - 1996-756X

pISSN - 0277-786X

DOI - 10.1117/12.770646

Subject(s) - image registration , vector field , computer science , displacement (psychology) , field (mathematics) , divergence (linguistics) , displacement field , fourier transform , computer vision , poisson's equation , algorithm , artificial intelligence , volume (thermodynamics) , image processing , image (mathematics) , mathematics , geometry , mathematical analysis , engineering , finite element method , psychology , linguistics , philosophy , physics , structural engineering , quantum mechanics , pure mathematics , psychotherapist

In this paper a method to remove the divergence from a vector field is presented. When applied to a displacement field, this will remove all local compression and expansion. The method can be used as a post-processing step for (unconstrained) registered images, when volume changes in the deformation field are undesired. The method involves solving Poisson's equation for a large system. Algorithms to solve such systems include Fourier analysis and Cyclic Reduction. These solvers are vastly applied in the field of fluid dynamics, to compensate for numerical errors in calculated velocity fields. The application to medical image registration as described in this paper, has to our knowledge not been done before. To show the effect of the method, it is applied to the registration of both synthetic data and dynamic MR series of the liver. The results show that the divergence in the displacement field can be reduced by a factor of 10-1000 and that the accuracy of the registration increases.

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