K luminosity function built with different contamination-correction methods. The black histogram shows the KLF when star counts from the galaxy model is used, the blue dash-dot histogram shows the KLF when star count from the control field is used, the red histogram shows the KLF when the color-cut method is used to compensate for contamination (see Sect. 4.3). Vertical error bars are counting statistics uncertainties computed as for the black histogram.