In a method and apparatus for improving the vessel/tissue contrast in time-of-flight angiography with a magnetic resonance tomography measurement, a sequence of radiofrequency excitation pulses is generated that each have a flip angle and a temporal spacing in the sequence defined by a repetition time, gradient pulses are generated with gradient coils such that, using an analog-to-digital converter, the magnetic resonance response signals are sampled in the frequency domain (k-space) in a slice referred to as a k-matrix, the k-matrix is sampled such that the respective distances of the measuring points from the center of the k-matrix are continuously increased (or decreased), and the repetition time is varied during the sampling, and/or the flip angle is varied during the sampling.