The structure of a set of high dimensional data objects (e.g. images,
documents, molecules, genetic expressions, etc.) is notoriously difficult to
visualize. In contrast, lower dimensional structures (esp. 3 or fewer
dimensions) are natural to us and easy to visualize. A not unreasonable
approach then is to explore one low dimensional visualization after another
in the hope that together these will shed light on the higher dimensional
structure. In our poster, we describe the graph theoretic structure recently
proposed by Hurley and Oldford (2011) that represents low-dimensional spaces
as graph nodes and transitions between spaces as edges. Of interest are walks
along these graphs that reveal meaningful structure. If the nodes are two
dimensional and edges exist, say, only between 2d spaces which share a
variate, then the walk could be represented dynamically as a series of
scatterplots, one transitioning into the next via a 3d rigid transformation.
We demonstrate how these graphs are constructed and dynamically explored via
our open source R package, RnavGraph.