The standard registration problem is to find a transformation that
best aligns a reference image Ir to another (floating) image If.
In this context, an image defines the intensity for each spatial
location. That is, it is a mapping of positions to intensity values;
.
Given this definition,
registration is formulated as a mathematical problem by taking a cost
function,
C(I1,I2), that quantifies the quality of the
registration and then finding the transformation T* which gives the
minimum cost:
(1) |