Imaging spectroscopy in the He i 1083 nm lines is a powerful tool for probing the top of the chromosphere and bottom of the transition region, but simple techniques for spectral calibration and analysis often fail for this line. A method for spectral flat-fielding using a uniform solar exposure with spectral lines in place is presented and illustrated with 1083 nm data obtained at the National Solar Observatory (NSO) Kitt Peak Vacuum Telescope with the NASA/NSO Spectromagnetograph. An efficient method for analysis of the data producing images in continuum intensity, line-of-sight velocity, equivalent width, central line depth, Doppler width, and line asymmetry is also presented and illustrated.