Algebraic Topology, a field of mathematics known very well to mathematicians, but not to Computer Scientists, has hidden applications to Computer Science. Algebraic topology can be used to determine how to procedurally generate a 3D mesh or examine the relationship between neurons in a neural network. The subject in which I will be blogging about pertains to a sub-field of Computer Graphics called Computer Vision. Algebraic topology can be used to find holes in a binary image efficiency. The paper below explains this in detail:

Study done by HP researchers:
http://www.hpl.hp.com/techreports/2009/HPL-2009-375.pdf

Website that explains the importance of Algebraic Topology with Computer Science:
http://comptop.stanford.edu/u/events/atmcs1.html

Interested even further?
http://inperc.com/wiki/index.php?title=Introductory_algebraic_topology:_...

Warning: The information presented in the links above lie WAY beyond the scope of the course. You have been warned. ;)