System and method for generating a visualized data representation preserving independent variable geometric relationships

A system for generating a visualized data representation preserving independent variable geometric relationships, comprising:

• a reorient module selecting a pair of convex clusters each rendered on a display having a center of mass located at an original fixed distance from a common origin, each convex cluster being oriented along a vector formed at a fixed angle from a common polar axis, further comprising:
• a measurement module determining a span measured between the centers of mass of each convex cluster and, for each convex cluster, a segment measured from the center of mass of each convex shape to a point closest to the other convex shape along the span;
• an evaluation module evaluating a new fixed distance from the common origin for the center of mass for one of the convex clusters located along the vector for that convex cluster if the span is less than the sum of the segments of the convex clusters wherein the new fixed distance substantially equals a root of a quadratic equation formed by the original fixed distances of the clusters and angle formed there between;
• and
• a display and visualize module displaying the pair of convex clusters rendered using at least the new fixed distance for the center of mass of the one convex cluster.

A method for generating a visualized data representation preserving independent variable geometric relationships, comprising:

• selecting a pair of convex clusters each rendered on a display having a center of mass located at an original fixed distance from a common origin, each convex cluster being oriented along a vector formed at a fixed angle from a common polar axis;
• determining a span measured between the centers of mass of each convex cluster and, for each convex cluster, a segment measured from the center of mass of each convex shape to a point closest to the other convex shape along the span;
• evaluating a new fixed distance from the common origin for the center of mass for one of the convex clusters located along the vector for that convex cluster if the span is less than the sum of the segments of the convex clusters wherein the new fixed distance substantially equals a root of a quadratic equation formed by the original fixed distances of the clusters and angle formed there between;
• and
• displaying the pair of convex clusters rendered using at least the new fixed distance for the center of mass of the one convex cluster.

A system for providing a perspective-corrected representation of a multi-dimensional convex shape rendering, comprising:

• a display rendering a plurality of shapes, each shape defining a convex volume representing a data grouping located within a multi-dimensional concept space and including a center of mass logically located within the convex volume;
• a comparison module measuring a span between the centers of mass for a pair of the convex shapes, each convex shape located at an independent distance along a vector drawn from a common origin and formed at an independent angle from a common axis drawn through the common origin;
• and
• a distance determining module determining a perspective-corrected independent distance from the common origin for one such convex shape if the span does not substantially equal the sum of the distances of center of mass to point closest to the other convex shape of each convex shape, the perspective-corrected independent distance substantially equaling a root of a quadratic equation formed by the independent distances of the convex shapes and angle formed there between.

A method for providing a perspective-corrected representation of a multi-dimensional convex shape rendering, comprising:

• rendering a plurality of shapes, each shape defining a convex volume representing a data grouping located within a multi-dimensional concept space and including a center of mass logically located within the convex volume;
• measuring a span between the centers of mass for a pair of the convex shapes, each convex shape located at an independent distance along a vector drawn from a common origin and formed at an independent angle from a common axis drawn through the common origin;
• and
• determining a perspective-corrected independent distance from the common origin for one such convex shape if the span does not substantially equal the sum of the distances of center of mass to point closest to the other convex shape of each convex shape, the perspective-corrected independent distance substantially equaling a root of a quadratic equation formed by the independent distances of the convex shapes and angle formed there between.