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A convolution back projection algorithm for local tomography

Published online by Cambridge University Press:  17 February 2009

Challa S. Sastry  and
P. C. Das
Challa S. Sastry
Affiliation:
Artificial Intelligence Lab, Department of Computer and Information Sciences, University of Hyderabad, Hyderabad 500046, India; e-mail: s.challa@lycos.com.
P. C. Das
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India; e-mail: pcdas@iitk.ac.in.
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Abstract

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The present work deals with the problem of recovering a local image from localised projections using the concept of approximation identity. It is based on the observation that the Hilbert transform of an approximation identity taken from a certain class of compactly supported functions with sufficiently many zero moments has no significant spread of support. The associated algorithm uses data pertaining to the local region along with a small amount of data from its vicinity. The main features of the algorithm are simplicity and similarity with standard filtered back projection (FBP) along with the economic use of data.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 3 , January 2005 , pp. 341 - 360
Copyright
Copyright © Australian Mathematical Society 2005

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