1. An image processing apparatus comprising: a trajectory information generation unit configured to electronically convert position information into trajectory information, the position information identifies a location of a first image on a trajectory as being before a location of a second image on the trajectory and identifies the location of the second image on the trajectory as being before a location of a third image on the trajectory; a setting unit configured to electronically convert the trajectory information into section information, the section information defines a first section of the trajectory as being from the first image to the second image and a second section of the trajectory as being from the second image to the third image; and a play list information generation unit configured to electronically convert the section information into a hierarchical structure of a first group of lattice elements and a hierarchical structure of a second group of the lattice elements, the first group represents the first section and the second group represents the second section.