Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Adaptation of the Fourier–Hankel method for deflection tomographic reconstruction of axisymmetric field

Not Accessible

Your library or personal account may give you access

Abstract

In this work, we describe an adaptation of Fourier–Hankel method to Abel inversion for the deflection tomographic reconstruction of axisymmetric temperature field. This technique is compared with existing methods to test the accuracy and error propagation using simulated Moiré stripes of natural convection flow above a heated horizontal disk in air. Simpson’s 1/3rd rule and one-point and two-point formulas are used in this comparison. The results showed that the proposed technique for Abel inversion is accurate and has the powerful capacity to control the smoothing degree of noise in the inversion process.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Abel inversion method using Chebyshev wavelets for tomographic reconstruction of an axisymmetric medium

Mahfoud Elfagrich, Abdessadek Ait Haj Said, and Kamal El Fagrich
Appl. Opt. 60(21) 6067-6075 (2021)

Abel inversion of deflectometric data: comparison of accuracy and noise propagation of existing techniques

Pankaj S. Kolhe and Ajay K. Agrawal
Appl. Opt. 48(20) 3894-3902 (2009)

Modified Fourier-Hankel method based on analysis of errors in Abel inversion using Fourier transform techniques

Shuiliang Ma, Hongming Gao, and Lin Wu
Appl. Opt. 47(9) 1350-1357 (2008)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (15)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (39)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved