A device for spatially measuring surfaces, comprising a projector for projecting patterns into an object space, two cameras for recording images of a surface in the object space, said surface to be measured, and a control and evaluation unit for activating the cameras and for evaluating the images recorded by these, wherein the projector comprises a light source , a projection lens and at least one rotatably arranged pattern structure as an imaging element, as well as a drive for rotating the at least one pattern structure and wherein the control and evaluation unit is configured to carry out the following steps: - activating the cameras for simultaneously recording images at each of a multitude of successive points in time of recording, so that a sequence of brightness values is acquired for points in image planes of each of the cameras , - identifying corresponding points in the image planes of the cameras , by way of evaluating a correlation function between the sequences of brightness values acquired for potentially corresponding points and maximizing a value of a thus formed correlation, - determining spatial coordinates of surface points on the surface by way of triangulation on the basis of the points identified as being corresponding, wherein the at least one pattern structure is designed in the shape of a rotatable disc or a rotatable cylinder surface or of a rotating belt which is closed, is led around at least two rollers, and is rotatable by the rotation of the rollers in the belt direction, and wherein the pattern structure comprises an aperiodic strip pattern with strips which are orientated in the radial direction of the disc or parallel to an axis of symmetry of the cylinder surface or transversely to the belt direction. wherein the projector comprises a light source , a projection lens and at least one rotatably arranged pattern structure as an imaging element, as well as a drive for rotating the at least one pattern structure and wherein the control and evaluation unit is configured to carry out the following steps: - activating the cameras for simultaneously recording images at each of a multitude of successive points in time of recording, so that a sequence of brightness values is acquired for points in image planes of each of the cameras , - identifying corresponding points in the image planes of the cameras , by way of evaluating a correlation function between the sequences of brightness values acquired for potentially corresponding points and maximizing a value of a thus formed correlation, - determining spatial coordinates of surface points on the surface by way of triangulation on the basis of the points identified as being corresponding, - activating the cameras for simultaneously recording images at each of a multitude of successive points in time of recording, so that a sequence of brightness values is acquired for points in image planes of each of the cameras , - identifying corresponding points in the image planes of the cameras , by way of evaluating a correlation function between the sequences of brightness values acquired for potentially corresponding points and maximizing a value of a thus formed correlation, - determining spatial coordinates of surface points on the surface by way of triangulation on the basis of the points identified as being corresponding, wherein the at least one pattern structure is designed in the shape of a rotatable disc or a rotatable cylinder surface or of a rotating belt which is closed, is led around at least two rollers, and is rotatable by the rotation of the rollers in the belt direction, and wherein the pattern structure comprises an aperiodic strip pattern with strips which are orientated in the radial direction of the disc or parallel to an axis of symmetry of the cylinder surface or transversely to the belt direction. <EOS>