A printing system for receiving grayscale input image data and rendering halftoned image data having embedded data on a recording medium includes an addressable three dimensional memory system. The memory system has a first set of address lines defining an x dimension, a second set of address lines defining a y dimension, and a third set of address lines providing an intensity dimension, and halftoning circuitry for receiving and transforming grayscale input image data into multi-bit value output data. A look-up table is used to match multi-bit value output data representing x dimension, y dimension, and intensity, to grayscale input image data. The system uses addressing circuitry for addressing the three dimensional memory system, with the first set of address lines and the second set of address lines defining a screen stored in the memory system, the first set of address lines and the second set of address lines providing x and y address values defined at a desired screen angle. Data is embedded in the halftone pattern by using rotation circuitry to modify the x and y address values as they are read from the look-up table. A modulating device receives this multi-bit value output data containing embedded data from the halftoning circuitry and converts it into modulated scan spots of defined intensity.
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