Methods and systems for modeling a physical object

A non-transitory computer readable medium having stored therein instructions executable by a computing device to cause the computing device to perform the functions of:

• receiving a model of the object, wherein the model includes a geometrical model and a material porosity model;
• dividing the material porosity model into a series of two-dimensional layer representations, wherein each two-dimensional layer represents a cross-section of the material porosity model of the object and specifies a material porosity variation for the two-dimensional layer;
• and
• generating a boundary constrained line representation of each two-dimensional layer representation using continuous space-filling fractal curves to characterize the material porosity variation for each two-dimensional layer.

A system comprising:

• a processor;
• a data storage medium;
• and
• machine language instructions stored on the data storage medium and executable by the processor to perform the functions of:
• receiving a model of the object, wherein the model includes a geometrical model and a material porosity model;
• dividing the material porosity model into a series of two-dimensional layer representations, wherein each two-dimensional layer represents a cross-section of the material porosity model of the object and specifies a material porosity variation for the two-dimensional layer;
• and
• generating a boundary constrained line representation of each two-dimensional layer representation using continuous space-filling fractal curves to characterize the material porosity variation for each two-dimensional layer.