1. A color reproduction predicting apparatus comprising: a lattice point determiner for determining first lattice points for forming a first lattice in a device value space, and second lattice points for forming a second lattice in the device value space, the second lattice having smaller lattice intervals than the first lattice; an interior point group determiner for determining a cell interior point group of the first lattice by determining at least one interior point for each of cells defined based on the first lattice points determined by the lattice point determiner; and a colorimetric value predictor for predicting colorimetric values for device values of the second lattice points determined by the lattice point determiner, based on device values and colorimetric values corresponding to the first lattice points determined by the lattice point determiner, as well as device values and colorimetric values corresponding to the cell interior point group determined by the interior point group determiner.