# ANALYSIS OF AN EXTENDED PMART FOR CT IMAGE RECONSTRUCTION AS A NONLINEAR DYNAMICAL SYSTEM

### Tetsuya Yoshinaga

#### Abstract

Among iterative image reconstruction algorithms for computed tomography (CT), it is known that the power multiplicative algebraic reconstruction technique (PMART) has a good property for convergence speed and maximization of entropy. In this paper, we investigate an extended PMART, which is a dynamical class for accelerating the convergence. The convergence process of the state in the neighborhood of the true reconstructed image can be reduced to the property of a fixed point observed in the dynamical system. For investigating convergence speed, we present a computational method of obtaining parameter sets in which a given real or absolute value of the characteristic multiplier is equal. The advantage of the extended PMART is verified by comparing with the standard multiplicative algebraic reconstruction technique (MART) using numerical experiments.

#### References

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#### Paper Citation

#### in Harvard Style

Yoshinaga T. (2006). **ANALYSIS OF AN EXTENDED PMART FOR CT IMAGE RECONSTRUCTION AS A NONLINEAR DYNAMICAL SYSTEM** . In *Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,* ISBN 972-8865-40-6, pages 440-444. DOI: 10.5220/0001364304400444

#### in Bibtex Style

@conference{visapp06,

author={Tetsuya Yoshinaga},

title={ANALYSIS OF AN EXTENDED PMART FOR CT IMAGE RECONSTRUCTION AS A NONLINEAR DYNAMICAL SYSTEM},

booktitle={Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,},

year={2006},

pages={440-444},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001364304400444},

isbn={972-8865-40-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,

TI - ANALYSIS OF AN EXTENDED PMART FOR CT IMAGE RECONSTRUCTION AS A NONLINEAR DYNAMICAL SYSTEM

SN - 972-8865-40-6

AU - Yoshinaga T.

PY - 2006

SP - 440

EP - 444

DO - 10.5220/0001364304400444