Progressive attenuation fields: Fast 2D-3D image registration without precomputation

This paper introduces the progressive attenuation field (PAF), a method to speed up computation of digitally reconstructed radiograph (DRR) images during intensity-based 2D-3D registration. Unlike traditional attenuation fields, a PAF is built on the fly as the registration proceeds. It does not require any precomputation time, nor does it make any prior assumptions of the patient pose that would limit the permissible range of patient motion. We use a cylindrical attenuation field parameterization, which is better suited for medical 2D-3D registration than the usual two-plane parameterization. The computed attenuation values are stored in a hash table for time-efficient storage and access. Using a clinical gold-standard spine image dataset, we demonstrate a speedup of 2D-3D image registration by a factor of four over ray-casting DRR with no decrease of registration accuracy or robustness.