Abstract: A method for printing barcode, comprising the steps of obtaining a 1D barcode for an area of a medium; obtaining a 2D bar code; combining the 1D and 2D bar codes in the area to overlap at least in part; and printing the combination of the 2D barcode with the 1D barcode in the area of the medium.

Abstract: A pixel color in an image can be represented by a dot color in a dot pattern as follows. A subset of a limited set of display colors is selected. The subset has N display colors that can render a solid color patch of the pixel color. The colors of the subset correspond to vertices of a simplex in the color space. The simplex has (N−1) dimensions. A point operation is then performed to select one of the vertices of the simplex and thereby select the dot color of the subset color corresponding to the selected vertex. Consequently, a solid patch of the pixel color can be rendered by a dot pattern having no more than N different colors. The dot pattern can be displayed by an imaging device such as an inkjet printer, which has a limited set of display colors.