To convert (something) to the metric system of measurement; to express in metric units. Canada began to metrize its road signs in the 1970s.
(Mathematics) To endow (a set or topological space) with a metric, thereby making it a metric space. The Urysohn theorem shows how to metrize certain normal spaces.
(Poetry, rare) To arrange or compose in metrical verse. The poet sought to metrize the folk tale for his new collection.