Abstract: A processor for a computerized numerical controller for providing motion planning and interpolation has a first transputer element programmed to convert program data to fixed format binary data and to store converted data in a generated convert data buffer. The convert data buffer is transmitted to a second transputer element programmed to precalculate motion control data therefrom and stores such precalculated data in a generated precalculated data buffer. The precalculated data buffer is transmitted to a third transputer element programmed to interpolate the precalculated data to provide a real time interpolated point stream defining a motion trajectory.

Abstract: A method and apparatus for computerized numerical control of machine tools includes a computer program and a controller for establishing an arbitrary plane with respect to the principal planes for providing cutter radius compensation. The processor precalculates structured data portions of the program that affect motion of the cutter. The precalculated data is stored and, in coordination with other inputs, is utilized to control machine tool servo drives to provide a "determine position loop error" function.

Abstract: A system for learning a characterization of an object and thereafter identifying the presence and orientation of the object is capable of controlling a robotic system for grasping the object. In an off-line learning mode, a television camera produces a video signal from the object and a preprocessor develops a segmented line outline of the object in digital form. A computer is programmed to generate a mathematical "rubber band" or convex hull around the object outline formed from segmented lines and to store the x-y coordinates of the lines. The centroid of the hull is calculated and an R(.0.) function as the radius from the centroid to the hull with the maxima thereof is calculated for characterizing the orientation of the object. A truncated Fourier series of the R(.0.) function is generated and the coefficients stored. In an on-line characterization mode, the apparatus generates a characterization of an unknown object and compares it with the learned and stored values of R(.0.) and Fourier coefficients.