The invention relates to a method of non-destructive testing of an aeronautical component (10), comprising a righting processing (E2) comprising the following steps: - (E21, E22) Generation of a median surface (SM) of the component (10) extracted from a tomographic volume, said median surface (SM) dividing the component (10) into two parts, - (E23) Determination of a field of normal vectors (N) normal to said median surface (SM), - (E24) Flattening of said median surface (SM) to form a flattened median surface (SMa) in a plane (P), - (E25) Reconstruction of a righted volume (Vr) containing the component (10, 10') righted about the flattened median surface (SMa), said reconstruction being performed by mapping between voxels (Vx') of the righted volume (Vr) along directions orthogonal to the flattened median surface (SMa) and between voxels (Vx) of the volume (V) along the normal vectors (N) of the median surface (SM) which are associated with these respective orthogonal directions, - (E3) Analysis of the right
