In this paper, a method is developed that reconstructs a high resolution image from an arbitrary set of multi-slice 3D MR images with a high in-plane resolution and a low through-plane resolution. Such images are often recorded to increase the efficiency of the acquisition. With a model of the acquisition of MR images, which is improved compared to previous super-resolution methods for MR images, a large system with linear equations is obtained. With the conjugated gradient method and this linear system, a high resolution image is reconstructed from MR images of an object. Also, a new and efficient method to apply an affine transformation to multi-dimensional images is presented. This method is used to efficiently reconstruction the high resolution image from multi-slice MR images with arbitrary orientations of the slices.

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Keywords Super-resolution, affine transformation, conjugated gradients, multi-dimensional imaging, multi-slice imaging, reconstruction
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Poot, D.H.J, van Meir, V, & Sijbers, J. (2010). General and efficient super-resolution method for multi-slice MRI. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 6361 LNCS(PART 1), 615–622. doi:10.1007/978-3-642-15705-9_75