Manuscript 2D-3D Non-rigid Registration using Iterative Reconstruction

Abstract

In this paper, we propose a novel intensity–based method that address non–rigid 2D-3D registration problem. This method allows non–rigid transformation for volumetric data to establish the proper alignment with a sparse number of 2D projections. The key issue of nonrigid 2D-3D registration is how to define the distance measure between 3D data and 2D projection. In this work, we use the idea that comes from algebraic reconstruction theory to handle this problem. We modify the Euler–Lagrange equation by introducing a new 3D force. This external force term is computed from the residual of the algebraic reconstruction procedures. It means that we integrate the algebraic reconstruction technique into the variational registration framework, so that the 3D displacement field is driven to minimize the “reconstruction distance ” between volumetric data and those 2D projections. Experimental results are presented on both artificial phantom and a real 3D Digital Subtraction Angiography (DSA) data.