Microwave remote sensing instruments such as radiometers and scatterometers have proven themselves effective in a variety of Earth Science studies. The resolution of these sensors, while adequate for many applications, is a limiting factor to their application in other studies. As a result, there is a strong interest in developing ground processing methods which can enhance the spatial resolution of the data. A number of resolution enhancement algorithms have been developed based on inverse filtering and irregular sampling reconstruction. This Chapter discusses the use of resolution enhancement and reconstruction algorithms in microwave remote sensing. While the focus is on microwave instruments, the techniques and algorithms considered are applicable to a variety of sensors, including those not originally designed for imaging.