The use of a cross-shaped patterned resistive sheet as an infrared-selective absorber, including the effects of a SiNx mechanical support dielectric layer is discussed. These cross patterned resistive sheets are a modified form of classical Salisbury Screens that utilize a resistive absorber layer placed a quarter-wavelength in front of a mirror. In comparison with previously designed patterned resistive sheets that have only a single resistive layer with rectangular patterned holes, here we consider a resistive absorber layer and a support dielectric layer with cross patterned holes through both the resistive absorption layer and the support layer.