Computing array of high-resolution halftone pixel values by addressing halftone dot function and averaging values to determine value at printer resolution

A print engine that performs a computational halftoning process, comprising:

• a printer module for printing halftoned pixel values at a printer resolution;
• a data processing system;
• a memory system communicatively connected to the data processing system and storing instructions configured to cause the data processing system to implement a halftoning process that determines halftone pixel values, wherein the halftoning process includes:
• receiving input digital image data for an array of inputs specifying a code value as a function of printer coordinates in a printer coordinate system at the printer resolution;
• for each input pixel performing the following operations:
• defining an array of high-resolution printer coordinates at a higher spatial resolution than the printer resolution;
• transforming the array of high-resolution printer coordinates into a corresponding array of high-resolution dot coordinates in a halftone dot coordinate system;
• computing an array of high-resolution halftoned pixel values responsive to the code value of the input pixel by addressing a halftone dot function using the array of high-resolution dot coordinates, wherein the halftone dot function computes a halftoned pixel value as a function of dot coordinates in the halftone dot coordinate system;
• and
• averaging the high-resolution halftoned pixel values in the array of high-resolution halftoned pixel values to determine the halftoned pixel value at the printer resolution;
• and
• printing the halftoned pixel values using the printer module.