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.

journal_name

Phys Med Biol

authors

Katsevich A

doi

10.1088/0031-9155/56/4/N01

subject

Has Abstract

pub_date

2011-02-21 00:00:00

pages

N53-61

issue

4

eissn

0031-9155

issn

1361-6560

pii

S0031-9155(11)68905-7

journal_volume

56

pub_type

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