A central theme of this ERC project is to use the measurement of orbital angular momentum, the degree of the light’s twist, as a new imaging and sensing modality. But twists are not the only complex shape possible. This project will apply random complex shapes of light beams to surface imaging. The new approach will enable full 3D reconstruction of images using only a few single element detectors.Beyond classical beams, single photons can be shaped and measured too. Quantum correlations between twisted and complex-shaped photon pairs will enable new demonstrations of quantum behaviour and deliver imaging performance beyond the classical limit.