3. Solution model

## 3.2 Mapping

Having gathered the data, we need to present them on a media suitable for visualization. For this, a mapping has been defined in section 2.3.1. Because actual digital systems use an array of squared pixels, the presentation below focuses on this kind of organization to simplify comprehension for the reader. Note, though, that a mapping to any kind of organization can be extrapolated.
A naive approach to this problem would be to find a configuration in that preserves the connective structure of the graph (see section 2.3.2 "Morphisms" on page 15). Depending on the data set, such a mapping can only give poor results, since elements of cyberspace do not have, by far, the same connectivity as elements of visualization media.

As specified in section 2.1.2, each resource is represented as a point in data space where is the number of elements of . Thus, a constraint to dimensionality reduction can be established (see section 2.3.3 "Metrics" on page 16).

**3.2.1 ** - Metric multidimensional scaling-
**3.2.2 ** - Non-metric multidimensional scaling-
**3.2.3 ** - Self-organizing maps-

Cyberspace geography visualization - 15 October 1995

Luc Girardin, The Graduate Institute of International Studies