A riveting method that includes riveting a first aircraft part to a second aircraft part. The method includes capturing a plenoptic image of the rivet and at least one of the first part and the second part in the vicinity of the rivet, by a plenoptic imaging device secured to a riveting head, after riveting the first part to the second part. The method includes detecting the positioning and the surface condition of the rivet, from the plenoptic image captured by the imaging device.