Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation

R. Van De Walle, H.H. Barrett, K.J. Myers, M.I. Aitbach, B. Desplanques, A.F. Gmitro, J. Cornelis, I. Lemahieu
2000 IEEE Transactions on Medical Imaging  
A minimum-norm least-squares image-reconstruction method for the reconstruction of magnetic resonance images from non-Cartesian sampled data is proposed. The method is based on a general formalism for continuous-to-discrete mapping and pseudoinverse calculation. It does not involve any regridding or interpolation of the data and therefore the methodology differs fundamentally from existing regridding-based methods. Moreover, the method uses a continuous representation of objects in the image
more » ... cts in the image domain instead of a discretized representation. Simulations and experiments show the possibilities of the method in both radial and spiral imaging. Simulations revealed that minimum-norm least-squares image reconstruction can result in a drastic decrease of artifacts compared with regridding-based reconstruction. Besides, both in vivo and phantom experiments showed that minimum-norm least-squares image reconstruction leads to contrast improvement and increased signal-to-noise ratio compared with image reconstruction based on regridding. As an appendix, an analytical calculation of the raw data corresponding to the well-known Shepp and Logan software head phantom is presented.
doi:10.1109/42.897806 pmid:11212364 fatcat:gkboz4gamnhpvnhw7od5s5w5xa