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 first lattice points and the second lattice points covering a common range 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; an adjustment parameter detetminer for determining at least one adjustment parameter for each of the cells, the at least one adjustment parameter identifying a prediction model for colorimetric values on or inside a boundary of each of the cells, using device values of the cell interior point group determined by the interior point group determiner and colorimetric values of the cell interior point group corresponding to the device values of the cell interior point group; 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, by applying the prediction model identified by the at least one adjustment parameter determined by the adjustment parameter determiner to each of the cells.