Title: Convolution backprojection algorithm for tomographic image reconstruction with contourlet transform

Authors: Nirmal Yadav; Tanuja Srivastava

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

Abstract: In the present script, the problem of recovering tomographic images from projection data using the multiresolution approximation of contourlet transform, is considered. This algorithm has similarity with main convolution backprojection but it defines local information in different directions. In this algorithm, error arises due to the approximation of the density function has also been estimated.

Keywords: radon transform; wavelet transform; Fourier transform; tomography; convolution backprojection; tomographic images; image reconstruction; projection data; multiresolution approximation; image processing; contourlet transform.

DOI: 10.1504/IJCSM.2016.076400

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.2, pp.156 - 165

Received: 18 Jan 2014
Accepted: 20 Aug 2014
Published online: 06 May 2016 *

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