In a method for imaging with nuclear magnetic resonance, magnetic resonance signals are read out under the influence of a magnetic gradient field. A direction of a gradient of the gradient field is modified such during the reception. The k-space trajectory proceeds along a curved path. The magnetic resonance signals are sampled with a variable sampling rate and are digitized. The sampling rate is varied such that an occupation density of k-space with samples is essentially uniform. Interpolation samples that are arranged on a rectangular grid in k-space are generated from the samples by interpolation. The interpolation samples are subjected to a Fourier transformation for generating image data.