Abstract: The invention is directed to “spatio-data coordination” (SD coordination) which defines the mapping of user actions in physical space into the space of data in a visualisation. SD coordination is intended to lower the user's cognitive load when exploring complex multi-dimensional data such as biomedical data, multiple data attributes vs time in a space-time-cube visualisation, or three-dimensional projections of three-or-higher-dimensional data sets.

Abstract: A modified Euler diagram may use multiple convex shapes to display sets or members of sets. In one embodiment, a compact Euler diagram may represent members once, with the sets split into separate regions that may form a containment hierarchy over the members. The split set regions may be drawn with simple convex shapes and joined with connecting lines, which may be concave shapes. In another embodiment, each set may be illustrated with a single convex shape and the members of more than one set may be duplicated. In such an embodiment, the members may be drawn with convex shapes and joined with connectors, which may be concave shapes. The modified Euler diagrams may be deterministically created by grouping the elements into sets, organizing the sets by size, placing elements in the sets, and creating connections between the elements using a set of constraints.

Abstract: A modified Euler diagram may use multiple convex shapes to display sets or members of sets. In one embodiment, a compact Euler diagram may represent members once, with the sets split into separate regions that may form a containment hierarchy over the members. The split set regions may be drawn with simple convex shapes and joined with connecting lines, which may be concave shapes. In another embodiment, each set may be illustrated with a single convex shape and the members of more than one set may be duplicated. In such an embodiment, the members may be drawn with convex shapes and joined with connectors, which may be concave shapes. The modified Euler diagrams may be deterministically created by grouping the elements into sets, organizing the sets by size, placing elements in the sets, and creating connections between the elements using a set of constraints.

Abstract: A method and system for drawing directed graphs including receiving data coordinates associated with nodes for graphing, performing a constrained stress minimization, and outputting results of the constrained stress minimization and displaying the results on a visual medium. The described method may take the form of instructions residing on a computer readable medium. The described method and system may be utilized for drawing directed graphs in a very wide range of applications ranging from gene networks, to flowcharts, to display of relational characteristics of breakfast cereal and so on.