Millimeter-wave (mm-wave) imaging systems are proving to be critical in high-resolution imaging to enable automatic security screening applications. In this article, we introduce a novel K-band computational imaging system that integrates custom-designed metasurfaces with shape-morphing origami platforms to enable scene adaptive imaging. The system comprises of metasurface-based active transceivers operating at frequencies ranging from 17 to 27 GHz mounted on a shape morphing origami platforms to demonstrate diffraction-limited reconstruction of 2D and 3D targets. This approach is scalable, modular, conformable, and cost-effective. Furthermore, we exploit information-theoretic techniques based on the Shannon-Hartley theorem to analyze measurements and reconstruct scenes, which in turn provides a mathematical basis to the formal design of such imaging apertures.