General and Efficient Super-Resolution Method for Multi-slice MRI
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.
KeywordsSpatial Frequency High Resolution Image Sampling Function Nyquist Frequency Slice Orientation
- 1.Zimmerman, R.A., Gibby, W.A., Carmody, R.F.: Neuroimaging: clinical and physical principles. Springer, New York (2000)Google Scholar
- 7.Engl, H.W., Hanke, M., Neubauer, A.: Regularization of inverse problems. Kluwer Academic Publishers, Dordrecht (2000)Google Scholar
- 9.Shewchuk, J.R.: An introduction to the conjugate gradient method without the agonizing pain. Technical report, Carnegie Mellon University, Pittsburgh, PA, USA (1994)Google Scholar