A Voronoi diagram-based algorithm for the gridding of PROPELLER MRI data

PROPELLER(periodically rotated overlapping parallel lines with enhanced reconstruction)method is a new technique of MRI imaging,and the quality of the MRI images reconstructed by PROPELLER is seriously affected by data gridding.A new gridding method based on Voronoi diagrams was proposed.Firstly,the sampling data was grouped based on the grid,and the points with the same position were eliminated.Then,a closure was established round the sampling data.Voronoi diagrams were generated and their areas were used as the sampling density compensation in the gridding reconstruction.Finally,a rapid gridding algorithm based on grid-grouping was proposed.Experimental results demonstrate that the method can be used in MR image reconstruction to obtain clear images with high contrast and good details.The signal to noise ratio of images can be improved as well.