This work proposes a scheme for multi–resolution representation of union of balls in the plane. This representation is inspired by curvature motion for smooth curves. More precisely, the proposed evolution of centres and radii of the balls are based on equations of evolution of the medial axis of a curve that performs curvature motion. The results obtained are very close to the pixel approximation of curvature motion.
Thomas Lewiner, Cynthia O. L. Ferreira, Marcos Cra