Method and device for reconstructing a sequence of mr images using a regularized nonlinear inverse reconstruction process

A method for reconstructing a sequence of magnetic resonance (MR) images of an object under investigation, comprises the steps of (a) providing a series of sets of image raw data including an image content of the MR images to be reconstructed, said image raw data being collected with the use of at least one radiofrequency receiver coil of a magnetic resonance imaging (MRI) device, wherein each set of image raw data includes a plurality of data sampies being generated with a gradient-echo sequence, in particular a FLASH sequence, that spatially encodes an MRl signal received with the at least one radiofrequency receiver coil using a non-Cartesian k-space trajectory, each set of image raw data comprises a set of homogeneously distributed lines in k-space with equivalent spatial frequency content,; the lines of each set of image raw data cross the center of k-space and cover a continuous range of spatial frequencies, and the positions of the lines of each set of image raw data differ in successive sets of image raw data, and (b) subjecting the sets of image raw data to a regularized nonlinear inverse reconstruction process to provide the sequence of MR images, wherein each of the MR images is created by a simultaneous estimation of a sensitivity of the at least one receiver coil and the image content and in dependency on a difference between a current estimation of the sensitivity of the at least one receiver coil and the image content and a preceding estimation of the sensitivity of the at least one receiver coil and the image content.