Integrating a channeled spectropolarimeter with a computed tomographic imaging spectrometer (CTIS) allows the creation of a snapshot imaging spectropolarimeter, capturing the complete spatially and spectrally-resolved Stokes vectors of a scene in a single data frame. The main body of the research contained here is focused on finding ways to improve the CTIS measurement technique. The first effort is a reworking of the instrument's calibration procedure, followed by a survey and comparison of ideas for alternative CTIS designs. The second effort develops a new approach to CTIS reconstruction...