Fig 1.
Geometric principles for shaping links.
a) Schematic illustration of the parameters controlling the shape of the link between two nodes Si and Sj. The reference point M lies on the geodesic distance dij between the nodes. Bezier boundary points are referred as to B and can be moved by modulating four quantities, i.e., h, dU, α and dS. Note that the angles and
are always square and not customizable for the sake of simplicity. b) Typical configurations that can be obtained with different combinations of the controlling parameters a1, a2, a3, a4 in the GUI. Default (0.75, 0.5, 0.38, 0), Bell (0.75, 0.5, 0, 0.5), Triangle (0.75, 0, 0, 0), Circle (0.5, 0.5, 0.5, 0.5), Circle2 (0.9, 1, 0.8, 1), Square (0.5, 1, 0.5, 1), Peak (0.75, 0, 0, 1), Straight (0, 0, 0, 0).
Fig 2.
Screenshot of the Vizaj’s graphical user interface (GUI).
Spatial networks are built in a 3D scene. The network can be zoomed and rotated via the cursor input. When the cursor hit a node, its connections and label are dynamically highlighted. On the right, all the controlling parameters are listed and accessible to the user.
Fig 3.
Height, radius and color of the links.
The height of the links is proportional to the internode distance dij. The radius is instead inversely proportional to dij. The color of the links code for the weight of the connections. This synthetic network has been visualized with Vizaj using a Circle shape for the links.
Fig 4.
Nodes are stops and links is travel connections. Mixed modes of travel are included (tram, rail, metro and bus). The color of the links indicates the number of vehicles that used that connection on a Monday. Only the connections covering a physical distance above 500 meters are displayed for the sake of simplicity. Data available from [13]. The network visualization has been generated with Vizaj using a Square shape for the links.
Fig 5.
Representation of the node degrees.
In this synthetic network, nodes are homogeneously distributed on a sphere. Links are established via a Barabasi-Albert model. Node degrees are illustrated as vertical bars perpendicular to the surface of the nodes. The network visualization has been generated with Vizaj using a Peak shape for the links.
Fig 6.
Nodes correspond to airports, links correspond to flight routes. Only the 1000 most conencted nodes are shown for the sake of simplicity. Data available from openflights.org/data.html. The network has been visualized with Vizaj using a Circle shape for the links.
Fig 7.
A yellow cube is shown within a 3D synthetic lattice. Links are mostly established between neighbor nodes. The color of the links indicates the elevation of the connection. The network has been visualized with Vizaj using a Triangle shape for the links.
Fig 8.
Structural brain connectivity.
Nodes represent brain regions of interest, links represent anatomical connections between nodes. In particular, the color of the links indicates the probability to find anatomical fiber bundles between different brain areas. Data available from [14]. The network has been visualized with Vizaj using a Bell shape for the links.
Fig 9.
Graphical implementation of the links.
a) Line option: links are made of single pixels. b) Volume option: links are made of multiple adjacent cylinders along the path between the two connected nodes. This synthetic network has been visualized with Vizaj using a Default shape for the links.