Determination of modeling accuracy between three-dimensional object representations

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

• receive a first three-dimensional (3D) object representation of an object, the first 3D object representation comprising a first set of surface patches, and the first set of surface patches comprising a first surface patch;
• receive a second 3D object representation of the object, the second 3D object representation comprising a second set of surface patches, and the second set of surface patches comprising a second surface patch;
• identify a first set of grid points by application of a first grid to a surface of the first surface patch in parametric space;
• select a set of random points on the surface of the first surface patch;
• calculate a sampling error based on a distance between the first set of grid points and the set of random points;
• identify a second set of grid points by application of a second grid to a surface of the second surface patch in parametric space;
• calculate a modeling difference based on a distance between the first set of grid points and the second set of grid points;
• and
• determine a modeling accuracy between the first and second surface patches based on the modeling difference and the sampling error.

A method comprising:

• receiving a first (3D) object representation of an object to convert into an alternative 3D object representation of the object;
• converting the first 3D object representation into a second 3D object representation and a third 3D object representation;
• identifying a first set of grid points by application of a first grid to a surface of the first 3D object representation;
• selecting a set of random points on the surface of the first 3D object representation;
• calculating a sampling error based on a distance between the first set of grid points and the set of random points;
• identifying a second set of grid points by application of a second grid to a surface of the second 3D object representation;
• calculating a first modeling difference based on a distance between the first set of grid points and the second set of grid points;
• identifying a third set of grid points by application of a third grid to a surface of the third 3D object representation;
• calculating a second modeling difference based on a distance between the first set of grid points and the third set of grid points;
• and
• selecting the second 3D object representation as the alternative 3D object representation based on the first and second modeling differences and the sampling error.