Most of the scientific fields that deal with this subject are in engineering, computer science' physics, mathematics, optics and computational biology. As to the other half of the question, I am not an expert but I can suggest the following paper:
Analyzing landscape diversity in time: The use of Renyi's generalized entropy function
This paper analyses the use of Renyi's generalized entropy function to identify landscape temporal transformation. In order to demonstrate its application we analyze recent historic landscape diversity changes focusing on the evolution of boundaries between patches in the town of Isernia (central Italy).
Firstly, three 1:25,000 land cover/vegetation raster maps (1954, 1981 and 1992) were selected. Next, changes in landscape diversity were measured analyzing the variation in the extension of boundary types between adjacent land cover categories (patches) from 1954 to 1992. To do this, Renyi's diversity curves for each year were built and compared.
The major advantage in applying the Renyi generalized parametric diversity function to analyze landscape changes in time is that diversity profiles do not display a single index. In fact, a family of indexes is shown, many of which are currently applied and widely used in landscape ecology.