05.13.18; 05.13.17 (Mathematical modeling, numerical methods, and the program systems; Theoretical foundation for informatics)
Birth date:
4.10.1961
Keywords:
Voxel, R-function, local geometric characteristic, graph.
Subject:
Functional voxel modeling in computer technology, R-functional modeling, CAD technology, graphics core, control systems, graph theory.
Main publications:
Tolok A.V., Tolok N.B., “Constructing the Functional Voxel Model for Terrain on the Basis of Bilinear Interpolation of Triangulated Network”, Advances in Intelligent Systems and Computing (Silhavy R. (eds) Applied Informatics and Cybernetics in Intelligent Systems. CSOC 2020), Vol. 1226. (2020), S. 340-347.
\begin{thebibliography}{9}
Tolok A.V., Tolok N.B., “Mathematical Programming Problems Solving by Functional Voxel Method”, Automation and Remote Control., Vol. 79 (72),:Vol. 9 (No.12). (2018), S. 1703-1712 (345-354).
Grigoriev S.N., Tolok A.V., Tolok N.B., “Local Search Gradient Algorithm Based on Functional Voxel Modeling”, Programming and Computer Software, Vol. 43,:No. 5. (2017), S. 300–306.
Kurapov S.V., Tolok A.V., “Construction of a Topological Drawing of the Most Planar Subgraph of the Non-planar Graph”, UTOMATION AND REMOTE CONTROL., Vol. 79,:No. 5. (2018), S. 793-810
A. V. Tolok, N. B. Tolok, “The functional voxel method applied to solving a linear first-order partial differential equation with given initial conditions”, Probl. Upr., 2023, no. 6, 76–83; Control Sciences, 2023, no. 6, 65–71
2022
2.
A. V. Tolok, N. B. Tolok, “Differentiation and integration in functional voxel modeling”, Probl. Upr., 2022, no. 5, 60–67; Control Sciences, 2022, no. 5, 51–57
A. Sycheva, A. V. Tolok, “Functional-voxel modeling of robot collision areas”, UBS, 98 (2022), 60–78
2018
4.
S. V. Kurapov, A. V. Tolok, “Construction of a topological drawing of the most planar subgraph of the non-planar graph”, Avtomat. i Telemekh., 2018, no. 5, 24–45; Autom. Remote Control, 79:5 (2018), 793–810
A. V. Tolok, N. B. Tolok, “Mathematical programming problems solving by functional voxel method”, Probl. Upr., 2017, no. 3, 37–42
2016
6.
S. N. Vasilyev, M. A. Loktev, A. V. Tolok, N. B. Tolok, S. A. Ulyanov, “Route Planning in 3D Environment with a Multivariant Model”, Tr. SPIIRAN, 45 (2016), 5–25
S. N. Grigor'ev, A. V. Tolok, “Dichotomous indexing of array in recursive construction of voxel-graphic images”, Avtomat. i Telemekh., 2014, no. 1, 145–157; Autom. Remote Control, 75:1 (2014), 119–128
S. V. Kurapov, A. V. Tolok, “The topological drawing of a graph: Construction methods”, Avtomat. i Telemekh., 2013, no. 9, 78–97; Autom. Remote Control, 74:9 (2013), 1494–1509
A. V. Tolok, “Using voxel models in automation of mathematical modeling”, Avtomat. i Telemekh., 2009, no. 6, 167–180; Autom. Remote Control, 70:6 (2009), 1067–1079
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