Advances in Discrete Tomography and Its Applications is a unified presentation of new
methods, algorithms, and select applications that are the foundations of multidimensional …

We deal with the question of uniqueness, namely to decide when an unknown finite set of
points in Z 2 is uniquely determined by its X-rays corresponding to a given set S of lattice …

An accurate knowledge of the complex microstructure of a heterogeneous material is crucial
for its performance prediction, prognosis and optimization. X‐ray tomography has provided a …

X-ray tomography has provided a non-destructive means for microstructure characterization
in three and four dimensions. A stochastic procedure to accurately reconstruct material …

We present a new algorithm for reconstructing binary images from their projections along a
small number of directions. Our algorithm performs a sequence of related reconstructions …

In the reconstruction problem of discrete tomography, projections are considered from a
finite set ${\mathcal {S}} $ of lattice directions. Employing a limited number of projections …

How to perfectly recover a binary signal from its discrete Fourier transform (DFT) coefficients
is studied. The theoretic lower bound and a practical recovery strategy are derived and …

Binary tomography is concerned with the recovery of binary images from a few of their
projections (ie, sums of the pixel values along various directions). To reconstruct an image …

If an unknown finite set C⊂ Z 2 is cut by lines parallel to given directions, then one may
count the number of points of C that are intercepted by each line, that is, the projections of C …

Discrete tomography deals with the reconstruction of images from their projections where
the images are assumed to contain only a small number of grey values. In particular, there is …