Topology-adaptive modeling of objects by a level set method with multi-level stopping conditions

Level set methods were proposed mainly by mathematicians for extracting bounding contours of multiple regions or shapes with holes. In the paper, we propose a new method of constructing a surface/solid model of a 3-D object of arbitrary topology on the basis of the approach. Given sensor data covering the whole object surface, the method begins with an initial approximation of the object by evolving a closed-surface into a model typologically equivalent to the real object. The refined approximation is then performed by deforming it at an optimally tuned speed. By numerically solving the level set equations for tracking the evolving surfaces, it becomes possible to handle 3-D objects of arbitrary topology while maintaining high accuracy in the shape fitting