CD-ing a file to itself

I wrote an application in Applescript to open a black picture and fullscreen it in preview. I need the app to "cd" to itself, no matter where it is. That means if it is on the desktop it can pull up that picture from within the apps files, and if the app is moved somewhere else, it can still pull that picture from within the app. Should the app just create a directory in the Application Support folder or is this possible?