Apparatus and method to determine a color within a range of colors producible by an output device

An apparatus comprising:

• a memory configured to store instructions;
• and
• a processor configured to:
• receive information specifying a color gamut;
• receive a first indication of a first color associated with a first point in a geometrical representation of the color gamut in a three-dimensional (3D) color space, wherein each point of the geometrical representation corresponds to a color of the color gamut;
• execute the instructions to generate, based on the first color, a second indication of a second color that is included in the color gamut, the second color associated with a second point in the 3D color space, wherein the color gamut corresponds to a range of colors producible by an output device, wherein the second point is identified based on a particular value of data associated with a plurality of color distances between the first point and a subset of points of the geometrical representation, wherein the color distances are determined using a color distance function, wherein the subset of points includes more than one and fewer than all points of the geometrical representation, and wherein a third point in the geometrical representation has a shorter Euclidian distance to the first point than an Euclidian distance between the first point and the second point;
• and
• initiate generation of an output by the output device, the output including the second color in place of the first color.

A non-transitory computer-readable storage medium storing instructions executable by a processor to perform, initiate, or control operations comprising:

• receiving information specifying a color gamut, wherein the color gamut corresponds to a range of colors producible by an output device;
• receiving a first indication of a first color, the first color associated with a first point in a geometrical representation of the color gamut in a three-dimensional (3D) color space, wherein each point of the geometrical representation corresponds to a color of the color gamut;
• based on the first color, generating a second indication of a second color that is included in the color gamut, the second color associated with a second point in the 3D color space, wherein the second point is identified based on a particular value of data associated with a plurality of color distances between the first point and a subset of points of the geometrical representation, wherein the color distances are determined using a color distance function, wherein the subset of points includes more than one and fewer than all points of the geometrical representation, and wherein a third point in the geometrical representation has a shorter Euclidian distance to the first point than an Euclidian distance between the first point and the second point;
• and
• initiating generation of an output by the output device, the output including the second color in place of the first color.

A method comprising:

• receiving information specifying a color gamut, wherein the color gamut corresponds to a range of colors producible by an output device;
• receiving a first indication of a first color, the first color associated with a first point in a geometrical representation of the color gamut in a three-dimensional (3D) color space;
• using a regression analysis technique, determining a spline function based on a plurality of color distances between the first point and a subset of points of the geometrical representation to generate data, wherein the subset of points includes more than one and fewer than all points of the geometrical representation, and wherein the color distances are determined using a color distance function;
• identifying a critical point of the spline function to determine a particular value of the data;
• based on the first color, generating a second indication of a second color that is included in the color gamut, the second color associated with a second point in the 3D color space, wherein the second point is identified based on the particular value of the data;
• and
• generating an output by the output device, the output including the second color in place of the first color.