Weak*-Convergence to Minimum Energy Measure and Dispersed-Dot Halftoning

Abstract

In this paper, we investigate a weak*-convergence property of certain sequences of probability measures to an energy-minimizing measure and then derive a simple heuristic algorithm to realize optimal point distributions constrained by a given density function as a nearly minimum energy state. With the derived results, we develop a new dispersed-dot halftoning technique, which achieves uniform distributions of dots while approximating the original image in the weak*-sense.