TY - GEN
T1 - Generating Euler diagrams from existing layouts
AU - Stapleton, Gem
AU - Howse, John
AU - Rodgers, Peter
AU - Zhang, Leishi
PY - 2008/1/1
Y1 - 2008/1/1
N2 - Euler diagrams have a wide variety of uses, from information visualization to logical reasoning. In all of their application areas, the ability to automatically layout Euler diagrams brings considerable benefits. In this paper, we present a novel approach to Euler diagram generation. We develop certain graphs associated with Euler diagrams in order to allow curves to be added by finding cycles in these graphs. This permits us to build Euler diagrams inductively, adding one curve at a time. Our technique is adaptable, allowing the easy specification, and enforcement, of sets of wellformednesss conditions; we present a series of results that identify properties of cycles that correspond to the wellformedness conditions. This improves upon other contributions towards the automated generation of Euler diagrams which implicitly assume some fixed set of wellformedness conditions must hold. In addition, unlike most of these other generation methods, our technique allows any abstract description to be drawn as an Euler diagram. To establish the utility of the approach, a prototype implementation has been developed.
AB - Euler diagrams have a wide variety of uses, from information visualization to logical reasoning. In all of their application areas, the ability to automatically layout Euler diagrams brings considerable benefits. In this paper, we present a novel approach to Euler diagram generation. We develop certain graphs associated with Euler diagrams in order to allow curves to be added by finding cycles in these graphs. This permits us to build Euler diagrams inductively, adding one curve at a time. Our technique is adaptable, allowing the easy specification, and enforcement, of sets of wellformednesss conditions; we present a series of results that identify properties of cycles that correspond to the wellformedness conditions. This improves upon other contributions towards the automated generation of Euler diagrams which implicitly assume some fixed set of wellformedness conditions must hold. In addition, unlike most of these other generation methods, our technique allows any abstract description to be drawn as an Euler diagram. To establish the utility of the approach, a prototype implementation has been developed.
KW - Information visualization
KW - diagram layout
KW - Venn diagrams
M3 - Conference contribution with ISSN or ISBN
VL - 13
T3 - Electronic Communications of the EASST
SP - 16
EP - 31
BT - Proceedings of the Second International Workshop on Layout of (Software) Engineering Diagrams (LED 2008)
PB - European Association of Software Science and Technology (EASST)
CY - Berlin, Germany
T2 - Proceedings of the Second International Workshop on Layout of (Software) Engineering Diagrams (LED 2008)
Y2 - 1 January 2008
ER -