ABSTRACT
In previous chapters we searched for lower-dimensional representations of our data that might show interesting structure. However, there are an infinite number of possibilities, so we might try touring through space, looking at many of these representations. This chapter includes a description of several tour methods that can be roughly categorized into the following groups:
1. Grand Tours: If the goal is to look at the data from all possible viewpoints to get an idea of the overall distribution of the pdimensional data, then we might want to look at a random sequence of lower-dimensional projections. Typically, there is little user interaction with these methods other than to set the step size for the sequence and maybe to stop the tour when interesting structure is found. This was the idea behind the original torus grand tour of Asimov [1985].
