A system and method are provided for registering a coordinate system for a shape sensing system to a coordinate system for pre-procedural or intra-procedural imaging data. A stable curvature in a shape reconstruction is identified and matched to another curvature, where the other curvature is from another shape construction from a subsequent time or from imaging data from another imaging modality. The matched curvatures are aligned, aligning the coordinate systems for the respective curvatures.