# Two-parameter composite interpolation of a discrete surface

Keywords:
Two-parameter composite interpolation of a discrete surface

### Abstract

The geometric figure of the discrete surface is determined by the rows of points in each of the two directions. Output points are taken as basic, for which a composite interpolation is performed, in which any current point is defined as the composition of the particles of all base points irrespective of the origin of the coordinate system. The particle size, which determines the participation in the formation of the current point, for each of the basis points, is equal to the value of the corresponding coordinates of the Balyuba-Naidysh.

### References

Adonyev EA, Vereshchag VM, Naidysh AV Application of geometric matrices for the formation of point equations of B-surfaces / Е.О. Adonev, V.M. Vereshchaga, A.V. Naidysh // Scientific Bulletin of the Tavrida State Agrotechnological University. - Melitopol: TDATU, 2018. - Iss. 8, Vol.1. Pp. 153-160.

Adonyev EA, Vereshchag VM Conceptual principles of the use of the composite method of geometric modeling in the formation of an optimal portfolio of energy conservation projects in schools. / E.O. Adonev, V.M. // The Modern Problems of Modeling: Coll. of sciences. laundry / MSTU them. B. Khmelnitsky; Goal. ed. qty. A.V. Find it. - Melitopol: Publishing house of MSTU them. Khmelnitsky, 2017. - Iss. 9. - P. 3-10.

Adonyev EA, Vereshchag VM One way to geometrically formalize situations of an individual factor / E.O. Adonev, V.M. // The Modern Problems of Modeling: Coll. of sciences. laundry / MSTU them. B. Khmelnitsky; Goal. ed. qty. A.V. Find it. - Melitopol: Publishing house of MSTU them. Khmelnitsky, 2017. - Iss. 10. - P. 5-16.

Adonyev EA Composite Method of Geometric Modeling: Monograph / E.O. Adonev. - Melitopol: FOP Unicorn TV, 2017 - 98 p.

Adonyev EA, Vereshchag VM Features of B-lines, B-surfaces, definitions, advantages and possibilities of application in the composite method of geometric modeling / Ye. Adonev, V.M. Vereshchag // Bulletin of the Kherson National Technical University. - Kherson: KhNTU, 2017. - Vip. 3 (62). V.2. - P. 249-255.

Adonyev EA, Vereshchag VM Development and study of the properties of geometric matrices / E.O. Adonev, V.M. Vereshchag // Bulletin of NTU "KPI". 2017. №33 (1255) - P. 13 - 17.

Adonyev EA Composite method of geometric modeling of multifactor systems: dissertation. - K .: KNUBA, 2018. - 512 p.

Balyuba IG Constructive geometry of manifolds based on point calculation. Thesis for a dissertation… doctor of technical sciences. - K .: KGTUSA, 1995.-36 p.

Balyuba IG Score [tutorial] / IG Balyuba, V.M. Naidysh; ed. Vereshchagi VM // Melitopol: Publishing house of MGPU them. B. Khmelnitsky. - 2015. - 234 p.

Vereshchag VM Geometric formalization in modeling of thermo-modification processes of buildings / Ye. Adonev, V.M. Vereshchaga, A.V. Naidysh, V.O. Lebedev, DV Spirintsev // The development of technical sciences: problems and solutions: Conference Proceedings. - April 27-28, 2018 - Brno: Baltic Publishing. - Pages 132-134.

Vereshchaga VM, Adonyev EA Monofactor principle of constructing a model of multifactor problems of thermo-modification of buildings / V.M. Vereshchaga, E.O. Adonev // Modern problems of modeling: Coll. of sciences. laundry / MSTU them. B. Khmelnitsky; Goal. ed. qty. A.V. Find it. - Melitopol: Publishing house of MSTU them. Khmelnitsky, 2016. - Issue. 7, pp. 24-31.

Adonyev EA, Vereshchag VM Conceptual principles of the use of the composite method of geometric modeling in the formation of an optimal portfolio of energy conservation projects in schools. / E.O. Adonev, V.M. // The Modern Problems of Modeling: Coll. of sciences. laundry / MSTU them. B. Khmelnitsky; Goal. ed. qty. A.V. Find it. - Melitopol: Publishing house of MSTU them. Khmelnitsky, 2017. - Iss. 9. - P. 3-10.

Adonyev EA, Vereshchag VM One way to geometrically formalize situations of an individual factor / E.O. Adonev, V.M. // The Modern Problems of Modeling: Coll. of sciences. laundry / MSTU them. B. Khmelnitsky; Goal. ed. qty. A.V. Find it. - Melitopol: Publishing house of MSTU them. Khmelnitsky, 2017. - Iss. 10. - P. 5-16.

Adonyev EA Composite Method of Geometric Modeling: Monograph / E.O. Adonev. - Melitopol: FOP Unicorn TV, 2017 - 98 p.

Adonyev EA, Vereshchag VM Features of B-lines, B-surfaces, definitions, advantages and possibilities of application in the composite method of geometric modeling / Ye. Adonev, V.M. Vereshchag // Bulletin of the Kherson National Technical University. - Kherson: KhNTU, 2017. - Vip. 3 (62). V.2. - P. 249-255.

Adonyev EA, Vereshchag VM Development and study of the properties of geometric matrices / E.O. Adonev, V.M. Vereshchag // Bulletin of NTU "KPI". 2017. №33 (1255) - P. 13 - 17.

Adonyev EA Composite method of geometric modeling of multifactor systems: dissertation. - K .: KNUBA, 2018. - 512 p.

Balyuba IG Constructive geometry of manifolds based on point calculation. Thesis for a dissertation… doctor of technical sciences. - K .: KGTUSA, 1995.-36 p.

Balyuba IG Score [tutorial] / IG Balyuba, V.M. Naidysh; ed. Vereshchagi VM // Melitopol: Publishing house of MGPU them. B. Khmelnitsky. - 2015. - 234 p.

Vereshchag VM Geometric formalization in modeling of thermo-modification processes of buildings / Ye. Adonev, V.M. Vereshchaga, A.V. Naidysh, V.O. Lebedev, DV Spirintsev // The development of technical sciences: problems and solutions: Conference Proceedings. - April 27-28, 2018 - Brno: Baltic Publishing. - Pages 132-134.

Vereshchaga VM, Adonyev EA Monofactor principle of constructing a model of multifactor problems of thermo-modification of buildings / V.M. Vereshchaga, E.O. Adonev // Modern problems of modeling: Coll. of sciences. laundry / MSTU them. B. Khmelnitsky; Goal. ed. qty. A.V. Find it. - Melitopol: Publishing house of MSTU them. Khmelnitsky, 2016. - Issue. 7, pp. 24-31.

Published

2020-01-23

How to Cite

*COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION*, (35), 16-21. Retrieved from http://cit-journal.com.ua/index.php/cit/article/view/52

Section

Automation and Control