Abstract: An arrangement is disclosed, in form of various embodiments, for more rapid scanning of an addressed point in space with programmable angular relationships, using either merely rotary motion for angle and reduced motion for position in two or three dimensions, or simply rotary motion for displacement with a consistent angular relationship in two or three dimensions.

Abstract: An arrangement for removing excess material from an object surface, to provide a desired finished surface. Holes are drilled into the object so that the bottoms of the holes lie on the desired finished surface. The holes have a shape so that the observed hole diameter at the prevailing surface of the object is dependent on the hole depth and thereby dependent on the amount of material remaining to be removed between the prevailing surface and the desired finished surface. The prevailing surface is continuously observed and measured, and the depths of material to be removed in a sequence of steps is calculated dependent on the measurements of the prevailing surface and the coordinates of the desired finished surface. As a result of the calculations, the depth of material removed during each step is controlled, so that upon carrying out a sequence of such steps, the surface exposed on the object after the last step has been carried out, coincides with the desired finished surface.

Abstract: An arrangement for removing excess material from an object surface, to provide a desired finished surface. Holes are drilled into the object so that the bottoms of the holes lie on the desired finished surface. The holes have a shape so that the observed hole diameter at the prevailing surface of the object is dependent on the hole depth and thereby dependent on the amount of material remaining to be removed between the prevailing surface and the desired finished surface. The prevailing surface is continuously observed and measured, and the depths of material to be removed in a sequence of steps is calculated dependent on the measurements of the prevailing surface and the coordinates of the desired finished surface. As a result of the calculations, the depth of material removed during each step is controlled, so that upon carrying out a sequence of such steps, the surface exposed on the object after the last step has been carried out, coincides with the desired finished surface.

Abstract: An arrangement for the construction of surfaces and bodies by stacking planar elements against each other. The planar elements have cross-sections corresponding to respective cross-sections of the surface to be constructed. The planar elements are assembled and attached to each other in sections, with neighboring sections being detached from each other so that the planar elements may be produced by cutting through plate-shaped material, and the cut-out elements are held to the parent plates by tabs. The tabs are arranged in a staggered manner among the sections of planar elements to facilitate easy removal of the planar elements from the remaining plate-shaped material to be discarded.

Abstract: An arrangement in which a three-dimensional surface is copied by recording images of planar sections of the surface. The surface is subdivided into the sections, and the sections are illuminated in sequence by a projector which directs a plane of light against the surface. A camera spaced from the projector records the intersection of the illuminating plane with the surface. By recording sections in sequence with the camera, the entire surface may be covered. The camera is focused on the illuminating plane in the region about the object surface. The recorded information is stored in a computer and used as a guide to repeat the procedure with a thinner plane of light for the purpose of obtaining increased accuracy of the final data.

Abstract: The method of generating data for files containing information regarding three-dimensional surface configurations, involving selective compilation of area data through use of projected rays of differing orientation, recording of the radiation patterns produced by these rays on the surface, and correlation of records from overlapping fields of view to meld information from contiguous areas into a continuous data bank.

Abstract: The spatial locations of points defining a specular surface are determined by disposing the specular surface in the field of view of a lens and by using the specular surface to view by reflection an irradiated reference surface disposed successively in different positions. Reference surface indicia viewed in common line of sight relation to each specular surface point in such different positions of the reference surface are identified. Radiant energy reflected by a specular surface point through the lens node and the location of the lens node defines a further line in space. The intersection of this further line and such line of sight defines the spatial location of such specular surface point. Photographic records made with the reference surface in such different positions contain representations of reflected radiant energy for all specular surface points in the field of view of the lens and in line of sight relation to the reference surface.