METHOD FOR UPSAMPLING COLOR CORRECTION TABLES, AN APPARATUS FOR CREATING AN UPSAMPLED COLOR CORRETION TABLE, AND A PROGRAM FOR UPSAMPLING COLOR CORRECTION TABLES

A method of forming a multidimensional upsampled table, which includes a plurality of upsampled contents and a plurality of upsampled columns and a plurality of upsampled rows, includes reading a multidimensional unsampled table having a plurality of unsampled content values. The multidimensional unsampled table has a plurality of unsampled columns and a plurality of unsampled rows. The multidimensional unsampled table is monotonic in the plurality of unsampled columns and is monotonic in the plurality of unsampled rows. The method further includes performing a Piecewise Cubic Hermite Interpolating Polynomial (PCHIP) interpolation to upsample the multidimensional unsampled table and to create the multidimensional upsampled table, and storing the multidimensional upsampled table. The PCHIP interpolation is independent of an order of interpolation direction.