This paper oers a new fast algorithm for non-rigid Viscous Fluid Registration of medical images that is at least an order of magnitude faster than the previous method by Christensen et al. [4]. The core algorithm in the uid registration method is based on a linear elastic deformation of the velocity eld of the uid. Using the linearity of this deformation we derive a convolution lter which we use in a scalespace framework. We also demonstrate that the 'demon'-based registration method of Thirion [13] can be seen as an approximation to the uid registration method and point to possible problems.

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