Systems and methods for creating space-filling solid models

A computer-implemented method for creating a space-filling solid model, comprising:

• (a) defining a three-dimensional (3D) domain;
• (b) defining a 3D Voronoi site geometry for each of a plurality of Voronoi sites, the Voronoi site geometry characterized by at least one curve or at least one surface extending in three dimensions;
• (c) arranging the plurality of Voronoi sites within the 3D domain;
• (d) dividing the 3D domain into a plurality of two-dimensional (2D) stacked layers;
• (e) partitioning each of the 2D stacked layers based on the Voronoi site geometry of each of the plurality of Voronoi sites defined in (b) using a distance function;
• and
• (f) interpolating, layer-by-layer, the partitioned 2D stacked layers to create the space-filling solid model.

A non-transitory machine-readable medium including instructions that, when executed by a processor, cause the processor to:

• define a three-dimensional (3D) domain;
• define a 3D Voronoi site geometry for each of a plurality of Voronoi sites, the Voronoi site geometry characterized by at least one curve or at least one surface extending in three dimensions;
• define a spatial arrangement of the plurality of Voronoi sites;
• arrange the plurality of Voronoi sites within the 3D domain according to the defined spatial arrangement;
• and
• partition the 3D domain based on the defined Voronoi site geometry of each of the plurality of Voronoi sites and the defined spatial arrangement of the plurality of Voronoi sites using a distance function to create a space-filling solid model.