title: Accelerating x-ray data collection using pyramid beam ray casting geometries.
abstract: Image reconstruction from its projections is a necessity in many applications such as medical (CT), security, inspection, and others. This paper extends the 2-D Fan-beam method in [2] to 3-D. The algorithm, called Pyramid Beam (PB), is based upon the parallel reconstruction algorithm in [1]. It allows fast capturing of the scanned data, and in 3-D, the reconstructions are based upon the discrete X-ray transform [1]. The PB geometries are reordered to fit parallel projection geometry. The underlying idea is to use the algorithm in [1] by porting the proposed PB geometries to fit the algorithm in [1]. The complexity of the algorithm is comparable with the 3-D FFT. The results show excellent reconstruction qualities while being simple for practical use.
authors.affiliation: School of Computer Science, Tel Aviv University, Tel Aviv, Israel. amir@math.tau.ac.il
authors.forename: Amir
authors.initials: A
authors.lastname: Averbuch
authors.forename: Guy
authors.initials: G
authors.lastname: Lifschitz
authors.forename: Yoel
authors.initials: Y
authors.lastname: Shkolnisky
mesh_terms: D000465:Algorithms; D005583:Fourier Analysis; D021621:Imaging, Three-Dimensional / Q000379:methods*; D019047:Phantoms, Imaging; D011856:Radiographic Image Enhancement / Q000379:methods*; D014057:Tomography, X-Ray Computed / Q000379:methods*