An X-ray of a finite set F in a direction u is a function giving the number of its points on each line parallel to u (see Section 2 for formal definitions), ...

Abstract. We study the determination of finite subsets of the integer lattice. Zn. , n ≥ 2, by X-rays. In this context, an X-ray of a set in a direction u ...

We study the determination of finite subsets of the integer lattice Zn, n ≥ 2, by X-rays. In this context, an X-ray of a set in a direction u gives the ...

Discrete tomography: Determination of finite sets by X-rays. HTML articles powered by AMS MathViewer. by R. J. Gardner and Peter Gritzmann: Trans. Amer. Math ...

Problems of Discrete Tomography concern the recovery of lattice sets from their X-rays in a given set S of lattice directions. A lattice set E is a finite point ...

In this chapter we introduce the topic of discrete tomography and give a brief historical survey of the relevant contributions. After discussing the nature ...

(1997) Discrete tomography: Determination of finite sets by X-rays, Trans. Amer. Math. Soc. 349, 2271–2295.CrossRefGoogle Scholar. [17] Gardner, R.J. and ...

A discrete point X-ray of a finite subset F of Rn at a point p gives the number of points in F lying on each line passing through p.

In this paper we deal with uniqueness and reconstruction problems in Discrete Tomography. For a finite set D of directions in Z 2 , we introduce the class ...

Discrete tomography focuses on the problem of reconstruction of binary images from a small number of their projections. A discrete tomography reconstruction ...