On interactive visualization of high-dimensional data using the hyperbolic plane

: se the concept of visualizing general abstract data by intermediate projection into the hyperbolic space. Its favorable properties were reported earlier and led to the "hyperbolic tree browser" (see www.inxight.com). The circular Poincare model of the 2-dimensional hyperbolic space (H2) allows effective human-computer interaction: by moving the "focus" via mouse the user can navigate in the data without loosing the "context". In H2 the "fish-eye" behavior originates not simply by a non-linear view transformation but rather by extraordinary, non-Euclidean properties of the H2. Especially, the exponential growth of length and area of the underlying space makes the H2 a prime target for mapping hierarchical and (now also) high-dimensional data. By borrowing concepts from multi-dimensional scaling we map proximity data directly into the H2. This removes the restriction of "quasi-hierarchical", graph-based data ? limiting previous work. Si...

• Type: Conference
• Year: 2002
• Where: KDD
• Authors: Helge Ritter, Jörg A. Walter
• Keywords: 2-dimensional Hyperbolic Space, Data Mining, General Abstract Data, KDD 2002, Proximity Data