Title

A Note On Computing The Derivative At A Constant Direction

Abstract

The derivative at constant direction is frequently used in inversion of cone-beam data. Several algorithms for computing the derivative have been proposed in the literature. The best algorithm to date has been proposed recently by Noo et al (2007 Phys. Med. Biol. 52 5393-414). In this note we propose a new, simple and efficient formula for computing the derivative. Numerical experiments with helical CT show that our formula and the one of Noo et al provide fairly similar spatial resolution and noise stability, even though the new formula is more efficient and easier to implement. © 2011 Institute of Physics and Engineering in Medicine.

Publication Date

2-21-2011

Publication Title

Physics in Medicine and Biology

Volume

56

Issue

4

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0031-9155/56/4/N01

Socpus ID

79551706231 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79551706231

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