Bazaĭkin, Ya. V.; Taĭmanov, I. A. A numerical algorithm for computing topological characteristics of three-dimensional bodies. (Russian) Zbl 1299.57014 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 4, 523-530 (2013). Here an algorithm is described for the calculation of basic topological parameters of three-dimensional bodies. This algorithm is based upon the Morse theory discretization. The discrete analogues of smooth functions are used which have non-degenerated (Morse type) and simplest degenerate critical points. Reviewer: Andrei Zemskov (Moskva) MSC: 57Q05 General topology of complexes 55U10 Simplicial sets and complexes in algebraic topology Keywords:computing technology; cubic complexes; Betti numbers; Morse theory PDFBibTeX XMLCite \textit{Ya. V. Bazaĭkin} and \textit{I. A. Taĭmanov}, Zh. Vychisl. Mat. Mat. Fiz. 53, No. 4, 523--530 (2013; Zbl 1299.57014) Full Text: DOI arXiv