Двопараметрична композиційна інтерполяція дискретно поданої поверхні.
Ключові слова:
Композиційна інтерполяція, дискретно подана поверхня, базисні точки, координати Балюби-Найдиша, уніфікація геометричної фігури.
Анотація
Геометрична фігура дискретно поданої поверхні визначається рядами точок у кожному з двох напрямків. Вихідні точки приймаються як базисні, відносно яких виконується композиційна інтерполяція, у якій будь-яка поточна точка визначається як композиція часток усіх базисних точок безвідносно до вихідної системи координат. Розмір частки, що визначає участь у формування поточної точки, для кожної з базисних точок, дорівнює значенню відповідних координат Балюби-Найдиша.
Посилання
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.
Опубліковано
2020-01-23
Як цитувати
Верещага, В., & Лисенко, К. (2020). Двопараметрична композиційна інтерполяція дискретно поданої поверхні. КОМП’ЮТЕРНО-ІНТЕГРОВАНІ ТЕХНОЛОГІЇ: ОСВІТА, НАУКА, ВИРОБНИЦТВО, (35), 16-21. вилучено із https://cit.lntu.edu.ua/index.php/cit/article/view/52
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