From Nagoya there are many ways to get to Inuyama, in the northern part of Aichi Prefecture.
Nagoya is quickly reachable from Tōkyō or Ōsaka by Shinkansen.
From here you have to enter the underground station of Meitetsu-Nagoya Station, and take a Meitetsu-Gifu bound train, getting off at Inuyama-Yūen Station.