Novel Methods for the Visualization and Analysis of Functional Maps in Cortex

Methods 73 With other words, we are looking for a displacement field u, ( ) ( ( )) ( ) ( , ) : ( , ) ( , ), ( , ) T R u v x y u x y v x y + » = W ® W x u x x u ! = y x x where are the pixel coordinates Equation 3: Deformation⁷ and Displacement field so that a suitable defined energy becomes as small as possible. 7 Instead of the plus sign in Equation 3, a minus sign is sometimes used, e.g. in section 5.2.10. Figure 35: Images that are to be matched Left: Measured phase image (reference, R); Right: Atlas phase image (template, T)