CONSTRUCTION OF SPATIAL PYTHAGOREAN HODOGRAPH CURVES BY GAUSS-RADAU POLYGONS

Nataliia  Bondarenko; Anatoliy  Kyrychenko; Valentyna  Otrashevska

CONSTRUCTION OF SPATIAL PYTHAGOREAN HODOGRAPH CURVES BY GAUSS-RADAU POLYGONS

Автор(и)

Nataliia Bondarenko Kyiv National University of Construction and Architecture (KNUCA)), Україна
Anatoliy Kyrychenko Kyiv National University of Construction and Architecture (KNUCA)), Україна
Valentyna Otrashevska Kyiv National University of Construction and Architecture (KNUCA)), Україна

Ключові слова:

Pythagorean hodograph curves, Gauss-Radau quadrature, Gauss-Radau polygon, interpolation

Анотація

The method for constructing spatial polynomial Pythagorean hodograph curves (PH curves) from the given Gauss-Radau polygon is considered. An equation has been found that describes infinitely many RH curves that have the same Gauss-Radau polygon

Біографії авторів

Nataliia Bondarenko, Kyiv National University of Construction and Architecture (KNUCA))

assoc. prof.

Anatoliy Kyrychenko, Kyiv National University of Construction and Architecture (KNUCA))

assoc. prof.

Valentyna Otrashevska, Kyiv National University of Construction and Architecture (KNUCA))

assoc. prof.

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Опубліковано

2025-06-13

Як цитувати

Bondarenko, N. ., Kyrychenko, A. ., & Otrashevska, V. . (2025). CONSTRUCTION OF SPATIAL PYTHAGOREAN HODOGRAPH CURVES BY GAUSS-RADAU POLYGONS. Прикладна геометрія, інженерна графіка та об’єкти інтелектуальної власності, (XIV), 93–95. вилучено із https://jagegip.kpi.ua/article/view/332477