Image Reconstruction from Radially Acquired Data Using Multipolar Encoding Fields

Gerrit Schultz¹, Hans Weber¹, Daniel Gallichan¹, Jrgen Hennig¹, Maxim Zaitsev¹

In this contribution a radial imaging technique is presented in the context of nonlinear and non-bijective encoding fields. Efficient image reconstruction methods are described and analyzed. For multipolar encoding fields, the reconstruction can be performed in a particularly simple and useful way: The inverse Radon Transform to polar coordinates leads to undistorted images represented in polar coordinates. In the angular direction pixels are aliased equidistantly. Therefore a standard Cartesian SENSE algorithm is applicable for the unfolding process. The developed reconstruction method is applied to simulated as well as measured data to demonstrate each reconstruction step separately.