A process for constructing highly accurate three-dimensional mappings of objects along a rail tunnel in which GPS signal information is not available includes providing a vehicle for traversing the tunnel on the rails, locating on the vehicle a LiDAR unit, a mobile GPS unit, an inertial navigation system, and a speed sensor to determine the speed of said vehicle. A stationary GPS, whose geolocation is well-defined, is located near the entrance of the tunnel. Image-identifiable targets having a well-defined geodetic locations are located at preselected locations within the tunnel. The vehicle traverses the tunnel, producing mass point cloud datasets along said tunnel. Precise measurements of 3D rail coordinates are also obtained. The datasets are adjusted based on the mobile GPS unit, the inertial navigation system, the speed sensor, the location of the image-identifiable targets, and the precise measurements of 3D rail coordinates, to thereby produce highly accurate, and substantially geodetically correct, three-dimensional mappings of objects along the tunnel.