Image reconstruction in regions of interest from truncated Radon transforms of even dimensions

Inverse Problems

Volumn 21, Issue 3, 2005, Pages 1169-1177

  Pan, Xiaochuan ^a   Zou, Yu ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FUNCTIONS; INTEGRAL EQUATIONS; MAGNETIC RESONANCE; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PARAMAGNETISM;

CONE-BEAM PROJECTION; RADON TRANSFORMS; REGIONS OF INTERESTS (ROI); X-RAY TRANSFORMS;

IMAGE RECONSTRUCTION;

EID: 18744402765     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/3/022     Document Type: Article

References (13)

1. Noo F, Clackdoyle R and Pack J 2004 A two-step Hilbert transform method for 2D image reconstruction Phys. Med. Biol. 49 3903-23
2. Zou Y and Pan X 2004 Exact image reconstruction on PI-line from minimum data in helical cone-beam CT Phys. Med. Biol. 49 941-59
3. Zou Y and Pan X 2004 An extended data function and its backprojection onto PI-lines in helical cone-beam CT Phys. Med. Biol. 49 N383-7
4. Pack J D, Noo F and Clackdoyle R 2005 Cone-beam reconstruction using the backprojection of locally filtered projections IEEE Trans. Med. Imaging 24 2317-36
5. Sidky E, Zou Y and Pan X 2005 Minimum-data filtered-backprojection algorithm for helical cone-beam computed tomography Phys. Med. Biol. 50 1643-57
6. Zou Y, Pan X and Sidky E 2005 Theory and algorithms for image reconstruction on chords and within region of interests J. Opt. Soc. Am. at press
7. Zou Y, Pan X and Sidky E 2005 Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan Phys. Med. Biol. 50 13-27
8. Pan X, Zou Y and Xia D 2005 Peripheral and central ROI-image reconstruction from and data-redundancy exploitation in truncated fan-beam data Med. Phys. 32 673-84
9. Natterer F 1986 The Mathematics of Computerized Tomography (New York: Wiley)
10. Deans S R 1993 The Radon Transform and Some of Its Applications (Malabar, FL: Krieger)
11. Danielsson P E, Edholm P and Seger M 1997 Towards exact 3D-reconstruction for helical cone-beam scanning of long objects: a new detector arrangement and a new completeness condition Proc. 1997 Int. Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine (Pittsburgh) ed D W Townsend and P E Kinahan pp 141-4
12. Robinson A and Laurmann J A 1956 Wing Theory (Cambridge: Cambridge University Press)
13. Kanwal R P 1971 Linear Integral Equations Theory and Technique (New York: Academic)