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
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Book ChapterDOI
Multimaterial Tomography: Reconstruction from Decomposed Projection Sets
TL;DR: A mathematical formulation is described where the newly proposed reconstruction problem is formalised by an equation system and it is shown that the model can be solved by equation system-based reconstruction techniques like the SIRT method while maintaining convergence.
Proceedings Article
Limited angle image reconstruction using four high resolution projection axes at co-prime ratio view angles
TL;DR: This paper proposes a sequential image reconstruction algorithm for the exact reconstruction of an image from a limited number of projection angles based on a decomposition sequence which defines the order in which the image pixels are restored.
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.