dd is the low level utility that you can use to accomplish this task, it essentially a low level byte-for-byte copy utility. If you want the "UNIX" way of accomplishing this, then read on.
All references to the file system and hard disks are located locally on the virtual /dev/ filesystem. There are a multitude of "nodes" in /dev/ that are interfaces to almost all the devices on your computer. For example, /dev/hda or /dev/sda would refer to the first hard drive in your system (hda vs sda depends on the hard drive), and /dev/hda1 would refer to the first partition on your hardrive.
The most straight forward way to make a raw image of your partitions is to use dd to dump the entire partition to a single file (remember the OS access the partitions /dev/sda1 through a file interface). Make sure you are on a larger partition or on a secondary drive and perform the following command
dd if=/dev/hda1 of=./part1.image to backup(repeat for different partitions)
dd if=./part1.image of=/dev/hda1 to restore
You can use the exact same command to backup the entire hard disk (replace hda1 with hda). You can then use any compression program (gunzip, zip, bzip) to compress the file for storage. You can use this same technique to make rote copies of entire partitions to make clones of your computer.
There is one limitation though, when restoring the backup, the partition needs to be the same size as the partition you took the image from, so this limits your options in case of a restore. However, you can always expand the partition after you've restored the backup using gparted or parted. The picture gets even muddier when you are trying to restore entire disk copies, however, if you are restoring the backup to the same exact hardrive you don't need to worry about this at all.
However, if you want a "friendlier" utility ala norton ghost then this suggestion might not be for you.