Title :
Relation Between the Filtered Backprojection Algorithm and the Backprojection Algorithm in CT
Author :
Wei, Yuchuan ; Wang, Ge ; Hsieh, Jiang
Author_Institution :
Dept. of Radiol., Univ. of Iowa, Iowa City, IA, USA
Abstract :
In this letter, we present a new fan-beam CT formula, based on which we discuss the relation between the filtered backprojection (FBP) algorithm and the backprojection (BP) algorithm. Specifically, the FBP algorithm can be expressed in a series with its first-order approximation being the BP algorithm. As a result, we identify a link between X-ray CT and number theory.
Keywords :
computerised tomography; diagnostic radiography; image reconstruction; medical image processing; number theory; waveform analysis; BP algorithm; FBP; X-ray CT; backprojection algorithm; common waveform analysis; computed tomography; fan-beam CT formula; filtered backprojection algorithm; first-order approximation; number theory; Approximation algorithms; Biomedical imaging; Computed tomography; Filters; Helium; Image quality; Image reconstruction; Imaging phantoms; Medical services; X-ray imaging; Common waveform analysis; computed tomography (CT); generalized function; number theory;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2005.851615
