What is an equivalent of a parabola (Euclidean metric) in Voronoi sweep for Manhattan metric??

69 Views Asked by At

How do we build Voronoi on Manhattan metric (l1 norm)? Using sweep line (same as for Euclidean)? If yes, then what is the equivalent for a parabola abstraction during a sweep line (e.g what arc shape defines equidistance from a point to an arc and from an arc to a sweep line)? pictorial representation of a question

Thank you!