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example, description logics techniques such as the subsumption test can be used
to establish relations between classes during ontology alignment. In the FOAM
[Ehrig, 2005] algorithm, all three types of comparisons are made between enti-
ties. e resulting similarities provide evidence that two entities are the same (or
similar) and can potentially be aligned. Calculating the similarity between two
entities requires a range of similarity functions that combine dierent features of
the ontologies with appropriate similarity measures. Section 4.4 provides a detailed
example of ontology alignment.
4.2 Introduction to Information Visualization
Visualization has appealing potential when it comes to creating, exploring, or
verifying complex and large collections of data such as ontologies. In particular,
Information Visualization (InfoVis), which deals with abstract and non-spatial
data, oers a bundle of techniques to represent hierarchical or semi-structured data.
us it is no surprise that many ontology tools integrated visualization in some
fashion during the past decade. Many tools rely on simple types of visualizations
like two-dimensional trees or graphs. Usually the nodes stand for concepts and the
edges represent relationships of concepts, but other approaches exist as well.
A literature study indicated a broad interpretation of ontology visualization dif-
fering among the various tools. InfoVis uses visual metaphors to ease the interpre-
tation and understanding of multidimensional data to provide users with relevant
information. A visual metaphor consists of graphical primitives such as point, line,
area, or volume and utilizes them to encode information by position in space, size,
shape, orientation, color, texture, and other visual cues, connections and enclosures,
temporal changes, and viewpoint transformations [Card et al., 1999]. e goal of
InfoVis is to promote a more intuitive and deeper level of understanding of the inves-
tigational data and foster new insights into the underlying processes [Tufte, 2001].
An enormous amount of work was done in the eld of InfoVis in recent years. e
methods range from geometric techniques such as scatter plots and parallel coordi-
nates [Inselberg and Dimsdale. 1990]), glyphs like InfoBug [Chuah and Eick, 1997],
icon-based techniques like Cherno faces [Cherno, 1973], stick gures [Pickett and
Grinstein, 1988], pixel-oriented recursive patterns [Keim et al., 1995], and spiral and
axis techniques [Keim, 1996] to interactive visualizations for hierarchical informa-
tion such as cones or cam trees [Robertson et al., 1991], hyperbolic trees [Lamping
et al., 1995], graph-based techniques such as small world graphs [van Ham and van
Wijk, 2004], maps such as themescape [Wise et al., 1995], distortion-oriented meth-
ods like the sheye lens [Furnas, 1986], other focus + context techniques [Pirolli et
al., 2001], and hybrids like Stardinates [Lanzenberger et al., 2003].
Combining several views is well known as multiple view visualization, which
oers several advantages such as improved user performance, discovery of unforeseen
relationships, and desktop unication [North and Shneiderman, 1997]. Generally,