Algebraic transformations of cadastral topological data

This paper presents algebraic transformations of cadastral topological data. The traditional notation of data in attribute tables has been transformed into a matrix. The new approach supports algebraic transformations and has produced new descriptive forms for cadastral structures. In the second part of the paper, new topological data were transformed to a quantum metric to generate new descriptions of the neighborhood of sets of geometric elements relating to cadastral data. The resulting descriptions can be used in analytical processes such as neighborhood analyses and aggregation of areas.