Abstract: The prevented invention provides a method to visualize complicated metro maps in a limited displaying area, in which the route to the passenger's destination is highlighted. In order to achieve high readability, it sets 1) the distance between neighboring stations to be equal, 2) the transportation lines to lie in octilinear directions, 3) the angles of incident edges at each station to be maximized, and 4) the station positions to be inside the displaying area. It also labels the names of stations that passenger will pass by to make the route navigation easy and intuitive.

Abstract: The prevented invention provides a method to visualize complicated metro maps in a limited displaying area, in which the route to the passenger's destination is highlighted. In order to achieve high readability, it sets 1) the distance between neighboring stations to be equal, 2) the transportation lines to lie in octilinear directions, 3) the angles of incident edges at each station to be maximized, and 4) the station positions to be inside the displaying area. It also labels the names of stations that passenger will pass by to make the route navigation easy and intuitive.

Abstract: A method for warping a video is provided. The method for warping a video, comprising steps of (a) receiving a video having at least a frame having a specific area; (b) defining a target video cube having a predetermined warping ratio and including the specific area; and (c) warping the frame so that the warped frame conforms to an aspect ratio of the target video cube.