Though the processes influencing the spatial variation of a measured variable in the atmosphere obey physical laws, the number of forces acting on the measured variable can make it appear random. There is still, however, an underlying structure relative to its location. Such as variable is known as a regionalized variable and is best described using a random function. A single realization of a regionalized variable Z for all locations in x (x1, x2…xn) constitutes the random function which is defined as
Structure from motion can be applied in various applications including geo-mapping and digital elevation modeling. The results can be analyzed to show geographical and spatial changes through time, location modeling, and high resolution orthomosaic imagery among other applications.