An Algebraic Framework for Deformable Image Registration

This paper presents a novel approach to deformable image registration using a parametric transformation model. The aligning transformation is simply found by solving a system of non-linear equations. Each equation is generated by integrating the product of a set of polynomial functions and the image intensity function over corresponding image domains. The capabilities of the algorithm have been studied on synthetic and real datasets on which it compares favorably to state of the art methods in terms of alignment accuracy.