The invention relates to a system (100) for adapting a plurality of model meshes to a plurality of image data, the system comprising a registration unit (110) for registering the plurality of model meshes with the plurality of image data on the basis of a computation of a registration transformation for transforming the plurality of model meshes, and an adaptation unit (120) for adapting the plurality of registered model meshes to the plurality of image data on the basis of a computation of locations of mesh vertices of the plurality of model meshes. The system (100) may further comprise a computing unit (130) for computing sparse vector fields comprising vectors of displacements of vertices of the adapted model meshes, an approximation unit (140) for computing dense vector fields on the basis of the sparse vector fields, a merge unit (150) for merging image data sets by means of the computed dense vector fields, and a reconstruction unit (155) for reconstructing a motion-compensated image data from the computed dense vector fields. The described system (100) is capable of reducing motion artifacts in tomographic images computed from data acquired at a plurality of different cardiac cycle phases.
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