Abstract: Apparatus for determining a spatial property in a 3D-space, wherein the apparatus comprises a physical pointer, a camera and a position and orientation measurement system, wherein a first object in the 3D-space comprises a pattern on it, wherein the physical pointer is configured to contact a surface area of a second object in the 3D-space, wherein the camera is configured to capture, at a position of the camera with respect to the first object, image data comprising an image of the pattern; wherein the position and orientation measurement system is configured to determine a heading, position, verticality, attitude, and/or inclination of the camera based on the image of the pattern, and determine, based on the determined heading, position, verticality, attitude, and/or inclination of the camera and a relative position of the physical pointer with respect to the camera, the spatial property of the surface area by the physical pointer.

Abstract: Apparatus for determining a spatial property in a 3D-space, wherein the apparatus comprises a physical pointer, a camera and a position and orientation measurement system, wherein a first object in the 3D-space comprises a pattern on it, wherein the physical pointer is configured to contact a surface area of a second object in the 3D-space, wherein the camera is configured to capture, at a position of the camera with respect to the first object, image data comprising an image of the pattern; wherein the position and orientation measurement system is configured to determine a heading, position, verticality, attitude, and/or inclination of the camera based on the image of the pattern, and determine, based on the determined heading, position, verticality, attitude, and/or inclination of the camera and a relative position of the physical pointer with respect to the camera, the spatial property of the surface area by the physical pointer.

Abstract: A system is provided for determining the position of an offshore structure in a fixed reference frame by observations from a moving reference frame. The system comprises a plurality of markers located at defined positions on the structure and an imaging device, arranged to view the markers and generate image data representative of the relative positions of the markers in the moving reference frame. The imaging device may be mounted aboard a vessel. A local positioning system is arranged to determine a position of the imaging device in the fixed reference frame and generate position data. A processing unit is arranged to receive the image data from the imaging device and the position data from the local positioning system and compute the position of the structure based on the defined positions of the markers.