Eigenvectors of ATA
Suppose (x,y) is on an edge.  What is ATA?
derive on board
• gradients along edge all point the same direction
• gradients away from edge have small magnitude
•      is an eigenvector with eigenvalue
• What’s the other eigenvector of ATA?
– let N be perpendicular to
– N is the second eigenvector with eigenvalue 0
The eigenvectors of ATA relate to edge direction and magnitude