title: Formulation of four Katsevich algorithms in native geometry.
abstract: We derive formulations of the four exact helical Katsevich algorithms in the native cylindrical detector geometry, which allow efficient implementation in modern computed tomography scanners with wide cone beam aperture. Also, we discuss some aspects of numerical implementation.
authors.affiliation: Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364, USA. akatsevi@pegasus.cc.ucf.edu
authors.forename: Alexander
authors.initials: A
authors.lastname: Katsevich
authors.forename: Katsuyuki
authors.initials: K
authors.lastname: Taguchi
authors.forename: Alexander A
authors.initials: AA
authors.lastname: Zamyatin
mesh_terms: D000465:Algorithms; D021621:Imaging, Three-Dimensional / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods; D009716:Numerical Analysis, Computer-Assisted; D011856:Radiographic Image Enhancement / Q000379:methods; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted; D036542:Tomography, Spiral Computed / Q000379:methods*