For picture-frame-type single-crystal specimens of the ferromagnetic nickel-base alloy PE 16, the dependence of the domain wall velocity v on the applied magnetic field H and on temperature T has been experimentally investigated for 1.7<T<5 K. The results are interpreted by assuming that the domain wall can overcome the interaction with obstacles present in the specimen by thermal activation. Interaction potentials, which have been in common use for such problems, e.g., triangular ones, failed to give agreement between theory and experiment. Therefore a formalism has been developed, by which information on the interaction force, F (x), between the obstacle and the domain wall can directly be obtained from the experimental data. By using F (x), a relation H (v,T) can be reconstructed which is in perfect agreement with the experimental results. The obstalces, which interact with the domain wall, are probably single atoms or small clusters.