Layered reconstruction of stippling art

Given a point set S ⊆ R2, reconstruction refers to the process of identifying a vector shape that best approximates the input. Although this field was pioneered since 1983 by Edelsbrunner [Edelsbrunner et al. 2006] and has been heavily studied since then, the general problem still remains open, ill-posed and challenging. Solving it is essential for a wide range of applications, from image processing, pattern recognition and sketching to wireless networks.