Diagrammatic representations
Diagrammatic representations pertain to the field of visual languages. They require the same formal definition as symbolic representations, but are defined upon the rich world of geometry.
I am investigating diagrammatic systems for the representation of sets, logic, probability theory, and any kinds of visualisations that are to communicate complex knowledge by means of diagrams. The main purpose of those systems is to ease the comprehension of complex situations, in particular of the mathematical domain. In this way, the diagrammatic representations I develop provide new means for learning and teaching, but also new tools that provide users in the humanities and elsewhere access to complex and abstract areas.
Publications
Björn Gottfried (2015)
The systematic design of visual languages applied to logical reasoning.
Journal of Visual Languages & Computing.
28, 212-225, Elsevier Inc.
doi:10.1016/j.jvlc.2015.02.001
Björn Gottfried (2015)
A comparative study of linear and region based diagrams.
Accepted for publication at
Journal of Spatial Information Science.
Björn Gottfried (2015)
The diamond of contraries.
Journal of Visual Languages & Computing.
26, 29-41, Elsevier Inc.
doi 10.1016/j.jvlc.2014.11.003
Björn Gottfried (2014)
Set space diagrams.
Journal of Visual Languages & Computing.
25 (4), 518-532, Elsevier Inc.
doi 10.1016/j.jvlc.2014.04.003
Björn Gottfried (2012)
Using space to represent data: diagrammatic reasoning.
Cognitive Processing,
13(4), 371-373, Springer.
doi 10.1007/s10339-012-0515-3
Björn Gottfried (2011)
Interpreting motion events of pairs of moving objects.
GeoInformatica,
15 (2), 247-271, Springer.
doi 10.1007/s10707-009-0095-2
Björn Gottfried (2008)
Representing Short-Term Observations of
Moving Objects by a Simple Visual Language.
Journal of Visual Languages & Computing,
19 (3), 321-342, Elsevier Inc.
doi:10.1016/j.jvlc.2007.11.001