El método de los elementos finitos en el registro de imágenes de resonancia magnética
Abstract
Image registration is a problem that has not been solved yet in a precise form, and has applications in different fields of image processing, including the processing of magnetic resonance images. In this work, we present some novel ideas on the application of the Finite Element Method to the solution of this problem, which improve the computed deformation fields (both for small and large deformations) that register a set of images. To show the behaviour of our method, we include results on both synthetic and real images. We also include applications to 3-D image registration that use an intensity correction technique, which are useful in the processing of functional MRI, where the precise localization of brain regions that activate under a stimulus is very important
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