Interior tomography from low-count local projections and associated Hilbert transform data

Qiong Xu; Hengyong Yu; Xuanqin Mou; Ge Wang

doi:10.1117/12.877901

3 March 2011 Interior tomography from low-count local projections and associated Hilbert transform data

Qiong Xu, Hengyong Yu, Xuanqin Mou, Ge Wang

Author Affiliations +

Proceedings Volume 7961, Medical Imaging 2011: Physics of Medical Imaging; 796130 (2011) https://doi.org/10.1117/12.877901
Event: SPIE Medical Imaging, 2011, Lake Buena Vista (Orlando), Florida, United States

Abstract

This paper presents a statistical interior tomography approach combining an optimization of the truncated Hilbert transform (THT) data. With the introduction of the compressed sensing (CS) based interior tomography, a statistical iteration reconstruction (SIR) regularized by the total variation (TV) has been proposed to reconstruct an interior region of interest (ROI) with less noise from low-count local projections. After each update of the CS based SIR, a THT constraint can be incorporated by an optimizing strategy. Since the noisy differentiated back-projection (DBP) and its corresponding noise variance on each chord can be calculated from the Poisson projection data, an object function is constructed to find an optimal THT of the ROI from the noisy DBP and the present reconstructed image. Then the inversion of this optimized THT on each chord is performed and the resulted ROI will be the initial image of next update for the CS based SIR. In addition, a parameter in the optimization of THT step can be used to determine the stopping rule of the iteration heuristically. Numerical simulations are performed to evaluate the proposed approach. Our results indicate that this approach can reconstruct an ROI with high accuracy by reducing the noise effectively.

Citation Download Citation

Qiong Xu, Hengyong Yu, Xuanqin Mou, and Ge Wang "Interior tomography from low-count local projections and associated Hilbert transform data", Proc. SPIE 7961, Medical Imaging 2011: Physics of Medical Imaging, 796130 (3 March 2011); https://doi.org/10.1117/12.877901

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE