In one preferred embodiment, the present invention provide a navigation system for a movable platform comprising a GNSS receiver sensor for providing position signals representative of the estimated current position of the movable platform; a camera sensor for providing photographic images representative of the surroundings of the movable platform; and an IMU (Inertial Measurement Unit) sensor for providing specific force and angular rate signals representative of the current specific forces and rate of the movable platform. A processor is responsive to the camera photographic images to estimate the position and attitude of the movable platform, the covariance of the position and attitude estimates and the covariance of consecutive position and attitude estimates. The processor is responsive to the GNSS receiver's estimated position signal, the camera's estimated position and attitude signal, the camera's estimated position and attitude covariance, the camera's estimated correlation of the covariance of consecutive position and attitude estimates, and the specific force and angular rate signals, for providing a navigation solution representative of the estimated current position, velocity, and attitude of the movable platform.