Journal ArticleDOI
Binary image reconstruction based on prescribed numerical information
Reads0
Chats0
TLDR
Algorithms are developed for solving binary image reconstruction problems given some numerical information on the image and correctness of the algorithms are discussed.Abstract:
The problem of reconstruction of a binary image in the field of discrete tomography is a classic instance of seeking solution applying mathematical techniques. Here two such binary image reconstruction problems are considered given some numerical information on the image. Algorithms are developed for solving these problems and correctness of the algorithms are discussed.read more
References
More filters
Journal ArticleDOI
On Context-Free Languages
TL;DR: In this report, certain properties of context-free (CF or type 2) Grammars are investigated, like that of Chomsky, and it is shown that this type of grammar is essentially stronger than type 2 grammars and has the advantage over type 1 grammARS that the phrase structure of a grammatical sentence is unique, once the derivation is given.
Book ChapterDOI
Combinatorial Properties of Matrices of Zeros and Ones
TL;DR: In this paper, a matrix A of m rows and n columns, all of whose entries are 0's and 1's, is considered, and the sum of row i of A is denoted by r i (i = 1,..., m) and sum of column n of A are denoted as s i (1, n, n).
Book ChapterDOI
A theorem on flows in networks
TL;DR: The theorem to be proved in this note is a generalization of a well-known combinatorial theorem of P. Hall as discussed by the authors, which has been proved in many other works.
BookDOI
Advances in discrete tomography and its applications
Gabor T. Herman,Attila Kuba +1 more
TL;DR: A. Kuba and G.T. Herman Discrete point X-ray (DPT) reconstruction as discussed by the authors is a well-known technique in the field of discrete tomography.