Tomographic imaging using poissonian detector data
Abstract
An image reconstruction method for reconstructing a tomographic image (f.sub.j) of a region of investigation within an object (1), comprises the steps of providing detector data (y.sub.i) comprising Poisson random values measured at an i-th of a plurality of different positions, e.g. i=(k,l) with pixel index k on a detector device and angular index l referring to both the angular position (.alpha..sub.l) and the rotation radius (r.sub.l) of the detector device (10) relative to the object (1), providing a predetermined system matrix A.sub.ij assigning a j-th voxel of the object (1) to the i-th detector data (y.sub.i), and reconstructing the tomographic image (f.sub.j) based on the detector data (y.sub.i), said reconstructing step including a procedure of minimizing a functional F(f) depending on the detector data (y.sub.i) and the system matrix A.sub.ij and additionally including a sparse or compressive representation of the object (1) in an orthobasis T, wherein the tomographic image (f.sub.j) represents the global minimum of the functional F(f). Furthermore, an imaging method and an imaging device using the image reconstruction method are described.
- Inventors:
- Issue Date:
- Research Org.:
- Scivis wissenschaftliche Bildverarbeitung GmbH (Goettingen, DE)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1176528
- Patent Number(s):
- 8559690
- Application Number:
- 12/990,849
- Assignee:
- Scivis wissenschaftliche Bildverarbeitung GmbH (Goettingen, DE)
- Patent Classifications (CPCs):
-
G - PHYSICS G06 - COMPUTING G06T - IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- Resource Type:
- Patent
- Resource Relation:
- Patent File Date: 2010 Jan 28
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 62 RADIOLOGY AND NUCLEAR MEDICINE; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
Citation Formats
Aspelmeier, Timo, Ebel, Gernot, and Hoeschen, Christoph. Tomographic imaging using poissonian detector data. United States: N. p., 2013.
Web.
Aspelmeier, Timo, Ebel, Gernot, & Hoeschen, Christoph. Tomographic imaging using poissonian detector data. United States.
Aspelmeier, Timo, Ebel, Gernot, and Hoeschen, Christoph. Tue .
"Tomographic imaging using poissonian detector data". United States. https://www.osti.gov/servlets/purl/1176528.
@article{osti_1176528,
title = {Tomographic imaging using poissonian detector data},
author = {Aspelmeier, Timo and Ebel, Gernot and Hoeschen, Christoph},
abstractNote = {An image reconstruction method for reconstructing a tomographic image (f.sub.j) of a region of investigation within an object (1), comprises the steps of providing detector data (y.sub.i) comprising Poisson random values measured at an i-th of a plurality of different positions, e.g. i=(k,l) with pixel index k on a detector device and angular index l referring to both the angular position (.alpha..sub.l) and the rotation radius (r.sub.l) of the detector device (10) relative to the object (1), providing a predetermined system matrix A.sub.ij assigning a j-th voxel of the object (1) to the i-th detector data (y.sub.i), and reconstructing the tomographic image (f.sub.j) based on the detector data (y.sub.i), said reconstructing step including a procedure of minimizing a functional F(f) depending on the detector data (y.sub.i) and the system matrix A.sub.ij and additionally including a sparse or compressive representation of the object (1) in an orthobasis T, wherein the tomographic image (f.sub.j) represents the global minimum of the functional F(f). Furthermore, an imaging method and an imaging device using the image reconstruction method are described.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Oct 15 00:00:00 EDT 2013},
month = {Tue Oct 15 00:00:00 EDT 2013}
}
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