New cone-beam reconstruction algorithm and its application to circular orbits

Hui Hu

doi:10.1117/12.174259

1 May 1994 New cone-beam reconstruction algorithm and its application to circular orbits

Hui Hu

Proceedings Volume 2163, Medical Imaging 1994: Physics of Medical Imaging; (1994) https://doi.org/10.1117/12.174259
Event: Medical Imaging 1994, 1994, Newport Beach, CA, United States

Abstract

It is discovered that for circular scanning orbits a function to be reconstructed, f (, can be broken into three terms: f () = fMo(f) + fMl(f) +fN(i)' where f,,(i) represents the null space component of f (i), fçi')corresponds to the reconstruction proposed by Feldkamp etal, while fM1() representsthe remaining part ofthe measurement space component, denoted as f, that is not provided in the Feldkamp reconstruction. Thus, a new cone beam reconstruction algorithm for circular scans is proposed as follows: 1) compute f) using Feldkamp algorithm; 2) compute fMtfr) using the formula developed inthis paper; and 3) estimate f4). This new algorithm has the following merits: 1) By including the correction term fMl(?),itprovides a more accurate reconstruction of f,fl) than Feldkamp algorithm; 2) It computes f(r) and fMl?) in a filtered—backprojection fashion, assuring an accurate and computationally efficient reconstruction of f4(?). For this reason, we expect that it would compare favorably in practice to Grangeat algorithm. This mathematical framework also provides a new perspective to understand the analytical relation between Grangeat algorithm and Feldkamp algorithm.

Citation Download Citation

Hui Hu "New cone-beam reconstruction algorithm and its application to circular orbits", Proc. SPIE 2163, Medical Imaging 1994: Physics of Medical Imaging, (1 May 1994); https://doi.org/10.1117/12.174259

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

Includes PDF, HTML & Video, when available