For a long time topological relationships between spatial objects have been a focus of
research in a number of disciplines like artificial intelligence, cognitive science, linguistics …

Spatial databases, addressing the growing data management and analysis needs of spatial
applications such as geographic information systems, have been an active area of research …

In this paper, we describe an efficient indexing method for a shape-based similarity search
of the trajectory of dynamically changing locations of people and mobile objects. In order to …

Assessing spatial scenes for similarity is difficult from a cognitive and computational
perspective. Solutions to spatial‐scene similarity assessments are sensible only if …

The paper outlines a model-theoretic framework for investigating and comparing a variety of
mereotopological theories. In the first part we consider different ways of characterizing a …

Many real and artificial entities in geographic space, such as transportation networks and
trajectories of movement, are typically modelled as lines in geographic information systems …

This paper develops a formal model of topological relations between a directed line
segment (DLine) and a region in a two-dimensional space. Such model forms a foundation …

This chapter focuses on the topological and mereological relations, contact, and parthood,
between spatio-temporal regions as axiomatized in so-called mereotopologies. Despite, or …

Qualitative models of spatial knowledge concern the description of both the shape of objects
and their relative position in space. While there are contributions related to the latter aspect …

Directed line segments are fundamental geometric elements used to model through their
spatial relations such concepts as divergence, confluence, and interference. A new model is …