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Drawing Graphs in Euler Diagrams
[chapter]
2004
Lecture Notes in Computer Science
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The system described here links graph drawing and Euler diagram drawing into a system for drawing graph-enhanced Euler diagrams. ...
In any drawing, the nodes are required to be included in the corresponding zone. We are, in effect, embedding graphs in Euler diagrams. ...
Drawing Euler Diagrams Enhanced With Graphs In this section we describe our three stage generic method for laying out graphs in Euler diagrams. The software system has been implemented in Java. ...
doi:10.1007/978-3-540-25931-2_9
fatcat:35rucpfugnhl7fdkicjekn6b4q
Drawing Euler diagrams with circles and ellipses
2011
2011 IEEE Symposium on Visual Languages and Human-Centric Computing (VL/HCC)
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In this paper, we present a novel approach to Euler diagram drawing that draws diagrams with circles, ellipses and curves in general. ...
Previous research on automated Euler diagram drawing has used various different approaches, each of which had their own problems, including: (a) failure to draw a diagram in all cases, (b) poor diagram ...
Euler diagrams are associated with various graphs. In this paper, we are interested in three of these associated graphs, all of which are defined in [7] . ...
doi:10.1109/vlhcc.2011.6070401
dblp:conf/vl/StapletonR11
fatcat:nvjnjhgytjfirm3awlp4ht3u4m
Visualise Undrawable Euler Diagrams
2008
2008 12th International Conference Information Visualisation
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Euler diagram characteristics might collide with the sets relationships to depict, making it impossible to outline a correct draw. ...
We aim to introduce methods and constructions to produce a clear representation, as close as possible to Euler diagrams, even for sets that are not formally drawable in that way. ...
Drawing Euler diagrams is a difficult task. ...
doi:10.1109/iv.2008.78
dblp:conf/iv/SimonettoA08
fatcat:upbtwonhunemxhfbhkr5c5e6ju
Towards a General Solution to Drawing Area-Proportional Euler Diagrams
2005
Electronical Notes in Theoretical Computer Science
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We present a deterministic algorithm for drawing Euler diagrams using n simple polygons so that the regions have a prescribed area. ...
. , n}, the algorithm can still be applied, but will sometimes create an Euler diagram where the curves are self-intersecting. ...
Figure 4 shows the Euler Graph and Dual of the Euler diagram in Figure 3 . ...
doi:10.1016/j.entcs.2005.02.017
fatcat:phvrnqrddzg4tatxk6cmotma5y
Fully Automatic Visualisation of Overlapping Sets
2009
Computer graphics forum (Print)
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In this paper, we present an approach for the automatic generation of Euler-like diagrams. ...
Euler diagrams, one of the most natural ways of depicting intersecting sets, may provide a solution to these problems. ...
Therefore, a drawing of the intersection graph decides positions and shapes of the zones and classes in the Euler diagram. ...
doi:10.1111/j.1467-8659.2009.01452.x
fatcat:hsciniagzbco5dfcfetx2dl5he
A general method for drawing area-proportional Euler diagrams
2011
Journal of Visual Languages and Computing
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In this paper, we considerably advance the state-of-the-art in area-proportional Euler diagram drawing by presenting the first method that is capable of generating such a diagram given any area-proportional ...
Area-proportional Euler diagrams have many applications, for example they are often used for visualizing data in medical and biological domains. ...
Acknowledgements The authors are supported by the EPSRC for the Visualization with Euler diagrams project (EP/E011160/1 and EP/E010393/1). ...
doi:10.1016/j.jvlc.2011.07.001
fatcat:tgvaqup7rvc3bnkmjafiacifzy
An Heuristic for the Construction of Intersection Graphs
2009
2009 13th International Conference Information Visualisation
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The final Euler diagram can be constructed by drawing the sets boundaries around the nodes of the intersection graph, either manually or automatically. ...
A planar drawing of this graph will then indicate how to draw the sets in order to depict all the set intersections. ...
Recent studies on automatically drawing Euler diagrams have been facing these problems. ...
doi:10.1109/iv.2009.30
dblp:conf/iv/SimonettoA09
fatcat:gwhydjiu4jgdzgxvvdfltdh2je
A survey of Euler diagrams
2014
Journal of Visual Languages and Computing
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They first appeared several hundred years ago, however, there has been a resurgence in Euler diagram research in the twenty-first century. ...
It also overviews application areas and the ways in which Euler diagrams have been extended. ...
An Euler graph is shown in Figure 12 . It is the Euler graph of the Euler diagram given in Figure 11 . ...
doi:10.1016/j.jvlc.2013.08.006
fatcat:nbvjcu5ttvftdgys7e4z3m44xa
Drawing Euler Diagrams for Information Visualization
[chapter]
2010
Lecture Notes in Computer Science
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Euler diagrams have numerous applications in information visualization as well as logical reasoning. ...
There have been a number of techniques devised for the automated drawing of Euler diagrams, each of which has its own advantages and disadvantages. ...
Euler diagrams have numerous applications in information visualization as well as logical reasoning. ...
doi:10.1007/978-3-642-14600-8_4
fatcat:56ktonhbhjdwvfqv6vznrojxi4
Drawing Euler Diagrams with Circles
[chapter]
2010
Lecture Notes in Computer Science
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Euler diagrams are a popular and intuitive visualization tool which are used in a wide variety of application areas, including biological and medical data analysis. ...
As with other data visualization methods, such as graphs, bar charts, or pie charts, the automated generation of an Euler diagram from a suitable data set would be advantageous, removing the burden of ...
Dual Graph Methods: With these methods, a so-called dual graph of the required Euler diagram is identified and embedded in the plane. Then the Euler diagram is formed from the dual graph. ...
doi:10.1007/978-3-642-14600-8_7
fatcat:m4mb436sqfdivflhhs2xyho3su
Drawing Euler Diagrams from Region Connection Calculus Specifications with Local Search
[chapter]
2014
Lecture Notes in Computer Science
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Euler diagrams are described as set of circles. ...
This paper describes a local search based approach and a software tool to approximate the problem of drawing Euler diagrams. Specifications are written using RCC-8-constraints and radius constraints. ...
Tulip displays the graph and extracts an Euler diagram from it. ...
doi:10.1007/978-3-319-11558-0_41
fatcat:xitzc66l3vdpnjqdyyblyiyvva
Subdivision Drawings of Hypergraphs
[chapter]
2009
Lecture Notes in Computer Science
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In this paper we study two new types of subdivision drawings which are more general than concrete Euler diagrams and more restricted than vertex-based Venn diagrams. ...
Vertex-based Venn diagrams and concrete Euler diagrams are both subdivision drawings. ...
This research was initiated during the Bertinoro Workshop on Graph Drawing, 2008. ...
doi:10.1007/978-3-642-00219-9_39
fatcat:hecguozo4ncdvaudyb2mlh74zi
Embedding Wellformed Euler Diagrams
2008
2008 12th International Conference Information Visualisation
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The method in this paper achieves an embedding of any wellformed Euler diagram. The method first triangulates the dual graph. ...
Finally, the process attempts to embed the Euler diagram from the dual graph. This paper describes a method for embedding wellformed Euler diagrams from dual graphs. ...
In these diagrams, the dual graph is shown with dotted lines to more easily distinguish it from the Euler diagram. ...
doi:10.1109/iv.2008.57
dblp:conf/iv/RodgersZSF08
fatcat:yelxndmhhfcxfdsxfl2asi3ovy
Generating Euler Diagrams
[chapter]
2002
Lecture Notes in Computer Science
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The work makes use of properties of the dual graph of an abstract diagram to identify which abstract diagrams are "drawable" within given wellformedness rules on concrete diagrams. ...
This article describes an algorithm for the automated generation of any Euler diagram starting with an abstract description of the diagram. ...
Related work There is much work on graph-drawing algorithms, see e.g. [1] . Euler diagrams are similar to the hypergraphs discussed in [2] . ...
doi:10.1007/3-540-46037-3_6
fatcat:szyfiue2hfek3ilbj7kd7oeb2e
Changing euler diagram properties by edge transformation of euler dual graphs
2009
2009 IEEE Symposium on Visual Languages and Human-Centric Computing (VL/HCC)
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Recently, various techniques for automated Euler diagram drawing have been proposed, contributing to the Euler diagram generation problem: given an abstract description, draw an Euler diagram with that ...
In this paper we define transformations of the dual graph that allow us to alter the properties that the generated diagram possesses. ...
Acknowledgements This work is supported by the UK EP-SRC grants EP/E011160/1 and EP/E010393/1 for the Visualization with Euler Diagrams project. ...
doi:10.1109/vlhcc.2009.5295268
dblp:conf/vl/HowseRS09
fatcat:xaridejtovgb3dnx7dvvz2h3ea
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