Formation of multi-dimensional images of a scene from the measured electromagnetic radiation constitutes an important class of techniques in space science and astrophysics. Regardless of the wavelengths used for probing the environment, the problem can be often formulated as the reconstruction of the physical properties of a time-varying plasma from indirect and often distorted observations. The image reconstruction is commonly formulated as a linear inverse problem, the solution to which is obtained through either statistical estimation and optimal filtering strategies or deterministic vector optimization methods. This talk will review recent advances in space remote imaging, the associated inverse problems, and the reconstruction techniques.