This thesis reviews multiple forms of terahertz spectroscopy and imaging, and exploits a combination of aspects from the techniques involved to undertake a novel method. With the use of this method, subsurface interfaces within a practical, insulated system are spatially imaged and identified. Initially, transmission spectroscopy is used to select the insulating material of the system based on favourable dielectric properties, followed by the use of dove prism reflection spectroscopy to understand and qualitatively contrast the responses of the interfaces to reflecting terahertz pulses. After constructing a reflection imaging system, multiple interface materials concealed by insulation are successfully located and identified by coloured overlays in a 100 by 100 image. Further exploration of applications involving the proposed method is also discussed.