Deformation and fracturing using adaptive shape matching with stiffness adjustment

This paper presents a fast method that computes deformations with fracturing of an object using a hierarchical lattice. Our method allows numerically stable computation based on so-called shape matching. During the simulation, the deformed shape of the object and the condition of fracturing are used to determine the appropriate detail level in the hierarchy of the lattices. Our method modifies the computation of the stiffness of the object in different levels of the hierarchy so that the stiffness is maintained uniform 1 by introducing a stiffness parameter that does not depend on the hierarchy. By merging the subdivided lattices, our method minimizes the increase of computational cost.