ACM Computing Surveys (CSUR)
Foundations of Multidimensional and Metric Data Structures (The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling)
Similarity Search: The Metric Space Approach (Advances in Database Systems)
Similarity Search: The Metric Space Approach (Advances in Database Systems)
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Spatial distance has been for decades a natural concept in applications such as computational geometry, geomatics, meshing, and others. There are several other applications, however, where a more general notion of proximity is necessary. To reuse the large body of knowledge built around spatial distances, researchers have tried to map non-spatial proximity measures to those. This approach is not always successful, and fails in some emblematic cases. Instead, a flexible model, called "metric spaces", captures in a natural way more general proximity concepts. We will briefly present its fundamentals; exhaustive books and surveys exist [2, 3, 1].