Quality Evaluation of Image Recording Strategies for Limited Angle Tomography

Abstract In this paper we propose a new method for evaluating image recording strategies for limited angle tomography. In limited angle tomography exact three-dimensional (3-D) reconstruction is not achievable. With this method a metric for the reachable reconstruction quality by defined X-ray source trajectories is calculated. The result of our method is independent of reconstruction algorithms. Our approach is based on the gradients of the scanned volume and their grade of determinability. Compared to simulated reconstruction accuracy with simultaneous algebraic reconstruction techniques, the method of evaluation shows the same dependencies on X-ray source trajectories. By using the proposed method different source trajectories for a limited angle range are comparable with respect to the reachable reconstruction quality.

[1]  Jerry L. Prince,et al.  Exact 3D cone-beam reconstruction from projections obtained over a Wobble trajectory on a C-arm , 2004, 2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821).

[2]  Hengyong Yu,et al.  Katsevich-type algorithms for variable radius spiral cone-beam CT , 2004, SPIE Optics + Photonics.

[3]  Rolf Clackdoyle,et al.  Cone-beam tomography from 12 pinhole vertices , 2001, 2001 IEEE Nuclear Science Symposium Conference Record (Cat. No.01CH37310).

[4]  A. Kak,et al.  Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm , 1984, Ultrasonic imaging.

[5]  H. Tuy.  AN INVERSION FORMULA FOR CONE-BEAM RECONSTRUCTION* , 1983 .

[6]  H. Kudo,et al.  Closed Sinusoid Trajectory for C-Arm CT Imaging , 2006, 2006 IEEE Nuclear Science Symposium Conference Record.

[7]  R. Tita,et al.  Free isocentric 3d imaging and a novel approach for wobble trajectories using a modified standard c-arm , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.