Wavelet Methods for Medical Image Registration

Registration of CT and MRI images with medical atlases showing location of anatomical structures that may not appear in the images is required for accurate di-agnostics and eeective treatment. Registration maps computed as solutions of elliptic boundary value problems have proven eeective for two dimensional problems but conventional algorithms are too slow for clinical applications of three dimensional images. EEcient wavelet methods have have been developed for the two dimensional Laplace equation. This paper extends these methods to three dimensions and to Navier's equation for linearized elasticity. Future research is also discussed.