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

72 5 Methods 5.1 Overview In this document, registration is understood as 2D-to-2D non-rigid image registration, i.e., it is the matching of two two-dimensional images. One image is an atlas, which is derived from a model (template); the other image is based on measured fMRI data (reference). The images are shown in Figure 35. The general problem can then be described as follows. Given two im- ages T and R, P ® W P ® W = P = W : : ] 2 , 0 [ ] 129 , 1 [ ] 129 , 1 [ R T x p Equation 1: Template image and reference image the aim is to transform T in a way so that it becomes similar to R. T R ® Equation 2: Transformation of template