Method and apparatus for improved PPA magnetic resonance imaging with a radial data acquisition and computer software product

PPA method for improved imaging with radial data acquisition in magnetic resonance imaging, comprising the steps of: - Step 1: subsampling of k-space by measuring a number of projections φ with a coil array of M component coils - Step 2: determining a shift operator C (± nΔk) for a projection φ - Step 3: Applying the displacement operator C (± nΔk) to individual points of the projection φ - Step 4: Repeat steps 2 and 3 for all projections φ - Step 5: Reconstruction of an image in the spatial domain based on the purely mathematical completed in this manner without explicit projections of the measurement coils profiles.