Icons and other graphics have strange colored strips after waking Macbook
I have the exact same Problem! I have a MBP 2011 model with OSX 10.75.

I have also done a few hardware upgrades to this machine: I replaced the original memory with 8GB, and I installed a second 128GB OCZ SSD disc a few months ago. The SSD is the OS disc and the original disc is now my second disk.

I have the exact problem after the deep sleep, when the machine runs out of power.

From Mark’s tip, I replaced the new 8 GB RAM back to the original 4 GB RAM, but the problem remains! I assume it is a problem of the OCZ disc. I tried to update the used firmware but I failed as I need a Windows OS to do so.

So I made a workaround: I entered in the Terminal:

$ sudo pmset -a hibernatemode 0


This means that the laptop will never enter DeepSleep (or hibernation, that is the RAM is always powered and in the event of a power loss the state is lost), and in this case the sleepimage /var/vm/sleepimage can also be removed.

Orginial Article: http://linuxtoosx.blogspot.com/2011/10/optimizing-mac-os-x-for-ssd-drives.html

It is no solution for the problem but a workaround to avoid the deep sleep. But this means that your work will not be recovered after shutdown from low battery.