Reverse engineer diskimage path from Volume name?

I have a sparse-image diskimage that is mounted on my system but I can't find the original file.

Is there a way to reverse engineer the location of the diskimage on file from the mount point (e.g /Volume/my-sparse-image) using command line tools?

I've tried diskutil and mount with no luck.

From serverfault clscott

• One option is to open Disk Utility as it should show the Disk Image on the left hand side and the volume it mounted below it.

  Alternatively if you run hdiutil info it will show the image path and mount point (along with other information) of all the disk images mounted on your computer.

  clscott : I really want to use the command line because I'm working on a utility script for my coworkers. `hdiutil info` without any other arguments is answer I needed.
  From Chealion