A method and a system for magnetic resonance imaging are provided. The method includes acquiring a magnetic resonance (MR) data set of an object by sampling only a portion of a k-space of the object. This sampled portion may be substantially triangle-shaped or be composed of multiple planes that extend through a point of origin of the k-space and are tangential to a common spherical cap in the k-space. An inverse Fourier transformation is then applied to the MR data set to transform the MR data set from the k-space to image space. A final MR image with a fan- or cone-beam geometry is then computed based on the transformed MR data set in image space.
