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

Sinogram recovery with the method of convex projections for limited-data reconstruction in computed tomography

Not Accessible

Your library or personal account may give you access

Abstract

Image reconstruction from incomplete projection data is strongly required in widespread applications of computed tomography. This problem can be formulated as a sinogram–recovery problem. The sinogram–recovery problem is to find a complete sinogram that is compatible with the Helgason–Ludwig consistency condition, the measured incomplete sinogram, and other a priori knowledge about the sinogram in question. The direct use of the Helgason–Ludwig consistency condition considerably reduces computational requirements and the accumulation of digital-processing errors over the conventional iterative reconstruction–reprojection method. Most research for solving the sinogram–recovery problem is based on directly inverting systems of linear equations associated with the Helgason–Ludwig consistency condition. However, these noniterative techniques cannot be applied to various different types of limited-data situations in a unified way. Moreover, nonlinear a priori constraints such as the nonnegativity and the amplitude limit are not easily incorporated. We solve the sinogram–recovery problem by using an iterative signal-recovery technique known as the method of projection onto convex sets. Once an estimation of the complete sinogram is obtained, the conventional convolution–backprojection method can be utilized to reconstruct an image. The performance of the proposed method is investigated both with numerical phantoms and with actual x-ray data.

© 1991 Optical Society of America

Full Article  |  PDF Article
More Like This
Strategy of computed tomography sinogram inpainting based on sinusoid-like curve decomposition and eigenvector-guided interpolation

Yinsheng Li, Yang Chen, Yining Hu, Ahmed Oukili, Limin Luo, Wufan Chen, and Christine Toumoulin
J. Opt. Soc. Am. A 29(1) 153-163 (2012)

Superresolved tomography by convex projections and detector motion

Miles N. Wernick and Chin-Tu Chen
J. Opt. Soc. Am. A 9(9) 1547-1553 (1992)

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

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 (64)

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