Hans Knutsson1, Carl-Fredrik Westin, 12
1Department of Biomedical Engineering, Medical Informatics, Linkping University, Linkping, Sweden; 2Department of Radiology, BWH, Harvard Medical School, Boston, MA, United States
We have presented a novel method for generating evenly distributed samples in a part of q-space that can be pre-specified in a general way. We have demonstrated the feasibility for two shapes, a sphere and a cube. The results are interesting from several points of view. There is a market tendency for the samples to group in shells indicating that the present work may provide a preferable alternative to recently proposed shell-interaction schemes . The distributions attained for the cube case are far from Cartesian, this may be an advantage in a sparse reconstruction, e.g. compressed sensing, setting.