This invention provides a system and a method for supporting the operation of subsea installations for 3D reconstruction of flexible pipes (1) during a direct vertical connection operation, comprising the steps of painting the flexible pipe (1) with a specific regular pattern, and performing a 3D reconstruction of the points sampled on the flexible pipe (1) to obtain the radius of curvature of the flexible pipe (1), in which the 3D reconstruction comprises the steps of: capturing images of the flexible pipe (1) during the direct vertical connection operation; sending the captured images to a dedicated computer (4); and processing the captured images, generating information on the radius of curvature, wherein the method initially comprises at least one of the following steps: painting the bend restrictor (6) with a specific regular pattern; painting straps (71) for buoys (7) with a specific regular pattern; and painting straps (71) for the arch bend, in the event of second-end direct vertical connection.