Journal ArticleDOI
Adaptive Reconstruction of Discrete-Valued Objects from few Projections
TLDR
This paper describes how the binary reconstruction problem to multi-valued objects can be reconstructed just by combining binary decisions, and shows how approximately known absorption levels can be adaptively estimated within the reconstruction process.About:
This article is published in Electronic Notes in Discrete Mathematics.The article was published on 2005-07-01. It has received 17 citations till now. The article focuses on the topics: Discrete tomography & Combinatorial optimization.read more
Citations
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Journal ArticleDOI
Discrete tomographic reconstruction via adaptive weighting of gradient descents
TL;DR: This work proposes a new method for multivalued DT, which performs the reconstruction as an energy minimisation task, and designs a novel optimisation process for approximating the minima of this energy function.
Journal ArticleDOI
On image reconstruction algorithms for binary electromagnetic geotomography
TL;DR: The assumption for a binary representation of the image to be reconstructed substantially relaxes image reconstruction problems related to ill-posedness that comes from an intrinsic limitation of an angular range of projections.
Information Content of Projections and Reconstruction of Objects in Discrete Tomography
TL;DR: A masodik tezispont egy uj rekonstrukcios algoritmust ad meg a diszkret tomografia tobbszintő esetere.
References
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Book
The EM algorithm and extensions
TL;DR: The EM Algorithm and Extensions describes the formulation of the EM algorithm, details its methodology, discusses its implementation, and illustrates applications in many statistical contexts, opening the door to the tremendous potential of this remarkably versatile statistical tool.
Mathematical methods in image reconstruction
Frank Natterer,Frank Wübbeling +1 more
TL;DR: This chapter discusses reconstruction algorithms, stability and resolution in tomography, and problems that have peculiarities in relation to nonlinear tomography.
Book
Mathematical Methods in Image Reconstruction
Frank Natterer,Frank Wübbeling +1 more
TL;DR: In this article, the authors present a reconstruction algorithm for nonlinear tomography problems that have peculiarities, based on integral geometry and structural and resolution properties of the tomography images.
Journal ArticleDOI
Image reconstruction and restoration: overview of common estimation structures and problems
TL;DR: The problem of image reconstruction and restoration is first formulated, and some of the current regularization approaches used to solve the problem are described, and a Bayesian interpretation of the regularization techniques is given.