Before revision:  This connection between HCS and ACSF generalizes the link between "grid peeling" and the ACSF observed by Eppstein et al. ( 2017  ), which applied only to convex curves , and which was studied only for regular grids .
After revision:  This connection between HCS and ACSF generalizes the link between ACSF and convex-layer decomposition ( Eppstein et al. ( 2017 ), which applied only to convex curves , and which was studied only for regular grids .