An imaging process is disclosed, as well as a nuclear spin tomograph for generating mainly T.sub.1-weighted images with high signal-to-noise ratio and high spatial resolution. According to the invention, the imaging process is characterised in that it comprises at least one data acquisition module including at least one layer-selective .alpha. high-frequency impulse and magnetic gradients (G.sub.x, G.sub.y, G.sub.z) for layer selection and/or encoding of a k-space. Acquired data describe a spin-lattice relaxation moment, the data acquisition module being repeated for acquiring data on at least one additional moment. Moreover, at least one 180.degree. high-frequency impulse or at least one 180.degree. high-frequency impulse and at least one 90.degree. high-frequency impulse that precedes the 180.degree. high-frequency impulse is connected upstream of the data acquisition module in order to generate spin-lattice relaxation. The magnetic gradients G.sub.x and G.sub.y are switched after the layer-selective .alpha. high-frequency impulse for k-space encoding, with a sinusoidal variation-in-time curve of the magnetic gradients G.sub.x and G.sub.y, so as to cover in a spiral the k-space, additional data being acquired during k-space encoding.