Representation-based hybrid model

A system, comprising:

• a controller configured to:
• execute a model of a material based on a geometric template of the material defined by geometric parameters and at least one geometric constraint of the material, wherein the material comprises at least two physical domains;
• determine a value of an objective function based on differences between a three-dimensional representation of the material based on measurements of the material and the model of the material based on the geometric template of the material;
• determine updated values of the geometric parameters of the geometric template;
• iterate the execute the model of the material, the determine the value of the objective function, and the determine the updated values of the geometric parameters until a parameter associated with the objective function satisfies a criterion;
• and
• output, in response to the parameter associated with the objective function satisfying the criterion, the updated values of the geometric parameters associated with the objective function that satisfies the criterion.

A computer-readable storage medium storing instructions that, when executed, cause at least one processor to:

• execute a model of a material based on a geometric template of the material defined by geometric parameters and at least one geometric constraint of the material, wherein the material comprises at least two physical domains;
• determine a value of an objective function based on differences between a three-dimensional representation of the material based on measurements of the material and the model of the material based on the geometric template of the material;
• determine updated values of the geometric parameters of the geometric template;
• iterate the execute the model of the material, the determine the value of the objective function, and the determine the updated values of the geometric parameters until a parameter associated with the objective function satisfies a criterion;
• and
• output, in response to the parameter associated with the objective function satisfying the criterion, the updated values of the geometric parameters associated with the objective function that satisfies the criterion.