Title: Error estimation of discrete convolution back projection for discrete Radon transform

Authors: Tanuja Srivastava; Nirmal Yadav

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

Abstract: In computerised tomography, an image must be recovered from its sampled projections in the form of Radon transform. In this work, we propose a method for recovering the image from convolution backprojection algorithm for discrete Radon transform. This method is easy to implement with some arithmetic operations without interpolation. The implementation of method is reported on sample images. The total error estimation in this algorithm, owing to approximation of the function is also reported.

Keywords: Radon transform; image reconstruction; error estimation; discrete convolution backprojection; computed tomography.

DOI: 10.1504/IJICT.2015.070310

International Journal of Information and Communication Technology, 2015 Vol.7 No.4/5, pp.455 - 468

Received: 06 Jul 2013
Accepted: 06 Dec 2013
Published online: 02 Jul 2015 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article