Morphing of watertight spline models using manufacturing data, inspection data, and product manufacturing information

A non-transitory computer-readable memory medium comprising program instructions which, when executed by a processor, cause a computer to:

• receive a first watertight spline model of a first tangible object;
• receive a set of points from a second tangible object and metadata associated with the set of points;
• construct a second watertight spline model of the second tangible object based at least in part on the set of points, the metadata, and the first watertight spline model:
• determine a discrepancy between knot vectors of the first watertight spline model and knot vectors of the second watertight spline model;
• perform knot insertion on the knot vectors of the first watertight spline model to remove the determined discrepancy such that the knot vectors of the first watertight spline model and the knot vectors of the second watertight spline model are the same;
• determine a warp function based on a difference between the first watertight spline model and the second watertight spline model, wherein the warp function comprises a continuous function approximating differences between the first tangible object and the second tangible object;
• and
• store the warp function in the non-transitory computer-readable memory medium.

A non-transitory computer-readable memory medium comprising program instructions which, when executed by a processor, cause a computer to:

• determine a first watertight spline model of a physical object;
• apply a stress to the physical object;
• while applying the stress to the physical object, determine a second watertight spline model of the physical object while experiencing strain, wherein the first and second watertight spline models are described in at least one computer-aided (CAx) model domain, and wherein knot vectors of the first and second watertight spline models are the same;
• determine, by the computer, a warp function based on a difference between the second watertight spline model and the first watertight spline model, wherein the warp function comprises a continuous function approximating differences between a shape of the physical object while experiencing strain and while not experiencing strain;
• determine a first constitutive relationship for the physical object based at least in part on the warp function;
• and
• store the first constitutive relationship in the non-transitory computer-readable memory medium.