A method for calibrating a dyeing machine, comprising: for each of multiple colors: performing a maximizing stage to determine an effective maximum ink dispensing rate corresponding to an effective maximum colorimetric value for the dyeing machine; performing a linearizing stage, comprising: determining multiple ink dispensing rates for performing the linearizing stage by dividing the effective maximum ink dispensing rate into multiple intervals, calculating from the effective maximum colorimetric value, a linear correspondence between the multiple ink dispensing rates and multiple calculated colorimetric values, dyeing a set of substrates according to the multiple ink dispensing rates, acquiring color values of the dyed set of substrates, interpolating a non-linear correspondence between the multiple ink dispensing rates and the acquired color values, and mapping the linear correspondence to the non-linear correspondence.