1. A system for generating a patch surface model of a geometric structure, the system comprising: a computer-based model construction system configured to be coupled to a device that includes at least one sensor configured to acquire a set of original location data points corresponding to respective locations on a surface of the geometric structure, the computer-based model construction system further configured to: generate a reference surface based on the acquired original location data points; subdivide the reference surface into a plurality of triangles; project at least some of the original location data points onto a respective nearest point on the subdivided reference surface; compute a function that morphs the projected location data points towards the original location data points to generate a patch surface model; and determine a boundary for the patch surface model.