Elastic registration based on matrix-valued spline functions and direct integration of landmarks and intensities
Stefan Wörz, Andreas Biesdorf, Karl Rohr · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2012
We introduce a new approach for spline-based elastic registration using both point landmarks and intensity information. With this approach, both types of information and a regularization based on the Navier equation are directly integrated in a single energy minimizing functional. For this functional, we have derived an analytic solution, which is based on matrix-valued non-radial basis functions. Our approach can cope with monomodal and multimodal images. For the latter case, we have integrated a computationally efficient analytic similarity measure. We have successfully applied our approach to synthetic images, phantom images, and MR images of the human brain.