Overview of reconstruction algorithms for exact cone-beam tomography

Rolf Clackdoyle; Michel Defrise

doi:10.1117/12.179253

8 July 1994 Overview of reconstruction algorithms for exact cone-beam tomography

Rolf Clackdoyle, Michel Defrise

Proceedings Volume 2299, Mathematical Methods in Medical Imaging III; (1994) https://doi.org/10.1117/12.179253
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

An overview of the current state of cone-beam tomography using `exact' analytic methods is presented. The fundamental theories of Smith and Grangeat are described as the even and odd parts of generalized unifying formulation. Various versions of the orbit condition for data sufficiency are reviewed, with examples to illustrate the relative restrictiveness and applicability to situations with truncated projection data. Existing strategies for reconstruction algorithms, and methods of handling redundant data are summarized. Finally a brief discussion of `equivalent methods' is included, with a demonstration that Tuy's inversion formula is equivalent to Grangeat's method.

Citation Download Citation

Rolf Clackdoyle and Michel Defrise "Overview of reconstruction algorithms for exact cone-beam tomography", Proc. SPIE 2299, Mathematical Methods in Medical Imaging III, (8 July 1994); https://doi.org/10.1117/12.179253

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