Reducing 3D lookup table interpolation error while minimizing on-chip storage

An apparatus comprising:

• a processing unit comprising circuitry configured to:
• partition a three dimensional (3D) representation of a gamut mapping space into a plurality of sub-cubes;
• calculate centroid mappings for N sub-cubes of the plurality of sub-cubes, in response to determining that the N sub-cubes have an interpolation error that exceeds a threshold, wherein a centroid mapping for a given sub-cube corresponds to a geometric center of the given sub-cube;
• and
• provide a target pixel to a display, based at least in part on the centroid mappings.

A system comprising:

• a processor comprising circuitry configured to calculate centroid mappings for N sub-cubes corresponding to a three dimensional (3D) representation of a gamut mapping space, wherein a centroid mapping for a given sub-cube corresponds to a geometric center of the given sub-cube;
• and
• a display controller comprising circuitry configured to:
• receive a first source pixel from a source image, wherein the source image is represented in a first gamut;
• identify vertices of a geometric shape that bounds pixel components of the first source pixel in a 3D representation of a pixel component space;
• convert the first source pixel to a target pixel in a second gamut, wherein the second gamut is different from the first gamut;
• and
• provide the target pixel to a display.