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

Tomography of cylindrical objects: comparison of noise property and accuracy of Abel inversion techniques with and without noise filtering

Not Accessible

Your library or personal account may give you access

Abstract

I have analyzed and compared the noise property and accuracy of three kinds of Abel inversion technique, i.e., the polynomial interpolation, versatile polynomial fitting (VPF) and modified Fourier–Hankel (MFH) methods. All these techniques will amplify noise due to the intrinsic property of Abel inversion. A technique that is more sensitive to noise also has a higher inversion accuracy for data without noise. Among the techniques without a noise resisting property, the third-degree polynomial interpolation and MFH methods have comparable performance and give higher inversion accuracies than other techniques. The VPF and MFH methods, which can be used without extra filtering of noise, yield markedly better results compared with those obtained by using noise filters in advance of inversion. Both of these two methods can be considered for applying to experimental data if there are no better smoothing techniques available.

© 2011 Optical Society of America

Full Article  |  PDF Article
More Like This
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)

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 (9)

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

Tables (1)

You do not have subscription access to this journal. Article tables 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 (31)

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved