We propose an automatic method for pain intensity measurement from video. For each video, pain intensity was measured using the dynamics of facial movement using 66 facial points. Gram matrices formulation was used for facial points trajectory representations on the Riemannian manifold of symmetric positive semi-definite matrices of fixed rank. Curve fitting and temporal alignment were then used to smooth the extracted trajectories. A SVR regression model was then trained to encode the extracted trajectories into ten pain intensity scores consistent with the Visual Analogue Scale for pain intensity measurement. The proposed approach was evaluated using the UNBC McMaster Shoulder Pain Expression database and compared to the state of the art on the same data. Using both 5-folds cross-validation and leave-one-subject-out cross-validation, our results are competitive with respect to state of the art methods.