A new approach to image reconstruction from projections using a recurrent neural network

R Cierniak - International Journal of Applied Mathematics and …, 2008 - sciendo.com
A new neural network approach to image reconstruction from projections considering the
parallel geometry of the scanner is presented. To solve this key problem in computed …

A 2D approach to tomographic image reconstruction using a Hopfield-type neural network

R Cierniak - Artificial intelligence in medicine, 2008 - Elsevier
OBJECTIVE: In this paper a new approach to tomographic image reconstruction from
projections is developed and investigated. METHOD: To solve the reconstruction problem a …

[PDF][PDF] A practical statistical approach to the reconstruction problem using a single slice rebinning method

R Cierniak, P Pluta, A Kaźmierczak - Journal of Artificial Intelligence …, 2020 - sciendo.com
The paper presented here describes a new practical approach to the reconstruction problem
applied to 3D spiral x-ray tomography. The concept we propose is based on a continuous-to …

[PDF][PDF] An analytical iterative statistical algorithm for image reconstruction from projections

R Cierniak - International Journal of Applied Mathematics and …, 2014 - intapi.sciendo.com
The main purpose of the paper is to present a statistical model-based iterative approach to
the problem of image reconstruction from projections. This originally formulated …

Comparison of algebraic and analytical approaches to the formulation of the statistical model-based reconstruction problem for X-ray computed tomography

R Cierniak, A Lorent - Computerized Medical Imaging and Graphics, 2016 - Elsevier
The main aim of this paper is to investigate properties of our originally formulated statistical
model-based iterative approach applied to the image reconstruction from projections …

A neuronal approach to the statistical image reconstruction from projections problem

R Cierniak, A Lorent - International Conference on Computational …, 2012 - Springer
The image reconstruction from projections problem is still the primary challenge for
designers of the computed tomography devices. The presented paper describes a new …

Fast iterative image reconstruction method for 3D computed tomography

R Cierniak - US Patent 9,508,164, 2016 - Google Patents
Y. Censor, Finite series-expansion reconstruction methods, Pro ceeding of the IEEE, vol. 71,
No. 3, pp. 409-419, 1983. K. Sauer, C. Bouman. A local update strategy for iterative recon …

Ultrafast iterative model-based statistical 3D reconstruction algorithm for x-ray computed tomography

R Cierniak, M Knas - Information Technologies in Biomedicine, Volume 3, 2014 - Springer
We present in this paper the orginally formulated 3D reconstruction algorithm for spiral cone-
beam x-ray tomography. Proposed here appraoch is based on the fully analytical …

Parallel realizations of the iterative statistical reconstruction algorithm for 3D computed tomography

R Cierniak, J Bilski, J Smola̧g, P Pluta… - Artificial Intelligence and …, 2017 - Springer
The presented paper describes a parallel realization of an approach to the reconstruction
problem for 3D spiral x-ray tomography. The reconstruction problem is formulated taking into …

Regularization Methods for the Analytical Statistical Reconstruction Problem in Medical Computed Tomography

R Cierniak, A Lorent, P Pluta, N Shah - … 12-16, 2016, Proceedings, Part II …, 2016 - Springer
The main purpose of this paper is to present the properties of our novel statistical model-
based iterative approach to the image reconstruction from projections problem regarding its …