Apparatus, methods, and systems for multi-primary display or projection

A method for using an apparatus having a processor and at least four light sources to generate at least four primary colors to generate a target color, wherein each of the at least four primary colors form a vertex of a gamut area in a CIE color space, and wherein the gamut area includes at least two sub gamut areas, the method comprising:

• determining which of the sub gamut areas contain chromaticity coordinates of the target color in CIE color space;
• using square matrices to perform a color mixing algorithm for sub gamut areas that contain the CIE color space chromaticity coordinate of the target color;
• calculating proportional values of each of the primary colors to generate the target color;
• and
• providing an output control signal to control an intensity of each of the at least four light sources to generate the target color or to instruct a display device to control pixel data for the target color,
• the method further comprising utilizing the proportional values to drive the light sources to produce a desired illumination color and projecting the desired illumination color.

A method for using an apparatus having a processor and at least four light sources to generate at least four primary colors to generate a target color, wherein each of the at least four primary colors form a vertex of a gamut area in a CIE color space, wherein the gamut area includes at least two sub gamut areas, and wherein each unique combination of three vertices of the gamut form a triangle and each triangle forms one of the sub gamut areas, the method comprising:

• determining which of the sub gamut areas contain chromaticity coordinates of the target color in CIE color space;
• using square matrices to perform a color mixing algorithm for sub gamut areas that contain the CIE color space chromaticity coordinate of the target color, wherein using square matrices to perform the color mixing algorithm includes performing the color mixing algorithm for each triangle that contains the CIE color space chromaticity coordinates of the target color;
• calculating proportional values of each of the primary colors to generate the target color, wherein calculating proportional values of each of the primary colors includes performing a linear combination of the values for each of the primary colors for all triangles that contain the CIE color space chromaticity coordinates of the target color to calculate proportional values of each of the primary colors to generate the target color;
• and
• providing an output control signal to control an intensity of each of the at least four light sources to generate the target color or to instruct a display device to control pixel data for the target color.

A method for using an apparatus having a processor and at least four light sources to generate at least four primary colors to generate a target color, wherein each of the at least four primary colors form a vertex of a gamut area in a CIE color space, wherein the gamut area includes at least two sub gamut areas, and wherein each unique combination of three vertices of the gamut form a triangle and each triangle forms one of the sub gamut areas, the method comprising:

• determining which of the sub gamut areas contain chromaticity coordinates of the target color in CIE color space, wherein determining which of the sub gamut areas contain chromaticity coordinates of the target color in CIE color space includes, for each triangle, performing a cross correlation function of:
• a first side vector extending from a first vertex to a second vertex of the triangle with a first target vector representative of the target color to determine a side of the first side vector where the target color is located;
• a second side vector extending from the second vertex to a third vertex of the triangle with a second target vector representative of the target color to determine a side of the second side vector where the target color is located;
• and
• a third side vector extending from the third vertex to the first vertex of the triangle with a third target vector representative of the target color to determine a side of the third side vector where the target color is located;
• using square matrices to perform a color mixing algorithm for sub gamut areas that contain the CIE color space chromaticity coordinate of the target color;
• calculating proportional values of each of the primary colors to generate the target color;
• and
• providing an output control signal to control an intensity of each of the at least four light sources to generate the target color or to instruct a display device to control pixel data for the target color.