A method includes forming a plurality of test patches in an array of orthogonal rows. The test patches are formed by using at least one printhead in an imaging machine. Each of the test patches is associated with a respective one of a plurality of initial input color values. The array of test patches includes a plurality of rows of varied-input test patches and at least one row of first equivalent-input test patches. A respective output color value of each of the test patches is measured. At least one first mathematical relationship is generated based on the output color values of the at least one row of first equivalent-input test patches. A plurality of adjusted input color values are calculated for respective ones of the varied-input test patches. Each adjusted input color value is calculated based upon the generated at least one first mathematical relationship. A second mathematical relationship is computed between the adjusted input color values and the output color values. The imaging machine is calibrated by using the second mathematical relationship.