An image processor sets the dot value to a value for forming a dot in a case where the dot forming condition is satisfied; sets the dot value to a value for forming no dot in a case where the dot forming condition is not satisfied and the target pixel is not the edge pixel; sets the dot value to a value for forming a dot in a case where the dot forming condition is not satisfied and a particular condition is satisfied; and sets a distribution error value to a smaller value than another error value in a case where the dot forming condition is not satisfied and the particular condition is satisfied and thereby the dot value is set to the value for forming a dot.

An image processing apparatus includes an image processor that performs error diffusion processing by applying an error diffusion matrix to multi-valued image data having pixels two-dimensionally arranged, so as to convert the multi-valued image data into binary image data. The binarization unit applies an error diffusion matrix in which the diffusion coefficient of a pixel diagonal to a focused-on pixel is greater than those of other pixels.

An image processing apparatus has a determination unit that determines a print operation to be performed and a generation unit that generates quantized data for printing a dot by comparing a threshold value and the multi-valued data. In a case of performing a first print operation, dot arrangement of the multiple types of inks printed on the print medium by the print unit on a basis of pieces of quantized data generated by the generation unit is higher in exclusiveness and dispersibility between or among dots of the multiple types of inks and lower in an overlap rate between or among the dots of the multiple types of inks than dot arrangement of the multiple types of inks printed on the print medium by the print unit on a basis of the pieces of quantized data generated by the generation unit in the case of performing the second print operation.

An image processing apparatus which performs image processing for print processing, including: a pseudo halftone processing unit configured to perform pseudo halftone processing by dithering with respect to an input image, and generate a halftone image constituted by plural dots, and a threshold matrix holding unit configured to hold a threshold matrix used for the pseudo halftone processing, wherein in the threshold matrix, thresholds are arranged such that the halftone image has a density region in which dots to be formed depending on a density of the input image are not rotational symmetric on a 90 basis, and orientations of the dots differ from each other in the density region.

Methods of manufacturing a volumetric continuous gradient complex dielectric element with drop-on-demand techniques, such as inkjet printing, by calculating spatial placement of nanocomposite-ink droplets are disclosed. The methods comprise determining or having a multi-dimensional gradient profile representing a volumetric gradient complex dielectric element. Providing or having a plurality of nanocomposite-inks, at least one of the nanocomposite-inks having a curable organic-matrix and a concentration of nanoparticles dispersed within to print the volumetric continuous gradient complex dielectric device. A print mask is determined in one-, two-, or three-dimensions that reconstructs the multi-dimensional gradient profile as a discretized pattern based on the material properties of the plurality of nanocomposite-inks and properties of a printing apparatus with a plurality of printheads. A spatial or spatio-temporal print schedule is determined that results in an at least approximate reproduction of the gradient profile when printed with the printing apparatus.

Methods of printing a color image having more than one color comprise receiving multiple-bit image data comprising multiple-bit pixel values, deriving 1-bit image data comprising first and second sets of 1-bit image data, and printing from the 1-bit image data the color image. Methods of generating 1-bit image data for a color image having more than one color comprise receiving multiple-bit image data comprising multiple-bit pixel values, and electronically deriving a first set and a second set of 1-bit image data.

An image processing apparatus including: a halftone processing unit configured to generate halftone image data represented by a halftone dot corresponding to a density value by performing halftone processing using a dither matrix for input image data; a phase change processing unit configured to correct a deviation of a laser beam scan line that is used in forming an image in accordance with the input image data on a printing medium by performing phase change processing to shift the phase of a pixel in the halftone image data in a sub scanning direction; and a pseudo high-resolution processing unit configured to convert the halftone image data after the phase change processing into halftone image data with a lower resolution by performing pseudo high-resolution processing, and in the dither matrix, threshold values are arranged so that the number of pixels in the sub scanning direction, which make up the halftone dot, is always even.

In various embodiments, an image processing method using self-adaptive error diffusion algorithm, a related apparatus and device are provided. In some embodiments, the method comprises: determining a neighboring region in an original image for error diffusion process, the neighboring region including a center point and its adjacent points; based on pixel values of the center point and the adjacent points, calculating an error diffusion process weight value for each adjacent point corresponding to an error diffusion process from the center point towards each adjacent point; after binarizing the pixel value of the center point, calculating an error value according to the binarized pixel value of the center point; adding a product of the error diffusion process weight value for each adjacent point and the error value to the pixel value of each adjacent point respectively to obtain an error-diffusion-processed pixel value for each adjacent point in the neighboring region.

Methods of manufacturing a volumetric continuous gradient complex dielectric element with drop-on-demand techniques, such as inkjet printing, by calculating spatial placement of nanocomposite-ink droplets are disclosed. The methods comprise determining or having a multi-dimensional gradient profile representing a volumetric gradient complex dielectric element. Providing or having a plurality of nanocomposite-inks, at least one of the nanocomposite-inks having a curable organic-matrix and a concentration of nanoparticles dispersed within to print the volumetric continuous gradient complex dielectric device. A print mask is determined in one-, two-, or three-dimensions that reconstructs the multi-dimensional gradient profile as a discretized pattern based on the material properties of the plurality of nanocomposite-inks and properties of a printing apparatus with a plurality of printheads. A spatial or spatio-temporal print schedule is determined that results in an at least approximate reproduction of the gradient profile when printed with the printing apparatus.

An image processing apparatus which performs image processing for print processing, including: a pseudo halftone processing unit configured to perform pseudo halftone processing by dithering with respect to an input image, and generate a halftone image constituted by plural dots, and a threshold matrix holding unit configured to hold a threshold matrix used for the pseudo halftone processing, wherein in the threshold matrix, thresholds are arranged such that the halftone image has a density region in which dots to be formed depending on a density of the input image are not rotational symmetric on a 90 basis, and orientations of the dots differ from each other in the density region.