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Optimized analytic reconstruction for SPECT
-
Jean-Pol Guillement
und
Roman G. Novikov
Veröffentlicht/Copyright:
2. Oktober 2012
Abstract.
We develop optimized analytic reconstruction for the single-photon emission computed tomography (SPECT). This reconstruction is based on (1) Novikov's exact and Chang's approximate inversion formulas for the attenuated ray transform, (2) filtering techniques, and (3) Morozov type discrepancy principle. Our numerical examples include comparisons with the standard least square and expectation maximization iterative SPECT reconstructions.
Keywords: Single-photon emission computed tomography; analytic reconstructions; iterative reconstructions
Received: 2012-02-28
Published Online: 2012-10-02
Published in Print: 2012-10-01
© 2012 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Preface
- Single-logarithmic stability for the Calderón problem with local data
- The identification problem for the functional equation with a parameter
- A posteriori error analysis for unstable models
- A review of selected techniques in inverse problem nonparametric probability distribution estimation
- Unified approach to classical equations of inverse problem theory
- Optimized analytic reconstruction for SPECT
- Numerical method for solving an inverse electrocardiography problem for a quasi stationary case
- A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
- On inverse problems in partially ordered spaces with a priori information
- An iterative method for a two-dimensional inverse scattering problem for a dielectric
- On the Shack–Hartmann based wavefront reconstruction: Stability and convergence rates of finite-dimensional approximations
- Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem
Schlagwörter für diesen Artikel
Single-photon emission computed tomography;
analytic reconstructions;
iterative reconstructions
Artikel in diesem Heft
- Masthead
- Preface
- Single-logarithmic stability for the Calderón problem with local data
- The identification problem for the functional equation with a parameter
- A posteriori error analysis for unstable models
- A review of selected techniques in inverse problem nonparametric probability distribution estimation
- Unified approach to classical equations of inverse problem theory
- Optimized analytic reconstruction for SPECT
- Numerical method for solving an inverse electrocardiography problem for a quasi stationary case
- A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
- On inverse problems in partially ordered spaces with a priori information
- An iterative method for a two-dimensional inverse scattering problem for a dielectric
- On the Shack–Hartmann based wavefront reconstruction: Stability and convergence rates of finite-dimensional approximations
- Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem
