Compass Construction of Bezier Curves and B-Splines
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kim Williams Books
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article reveals a mathematical bridge between compass-only geometric constructions and parametric curves. A set of construction algorithms are presented which are used to locate points on any Bezier curve or B-Spline by using an abstract compass. These constructions aim to translate the B-Spline definition of Paul de Casteljau into the modified versions of compass-only constructions explained by Aleksandr Kostovskii. Several computer scripts are developed and used to simulate these constructions while calculating and minimizing their computational complexities. The mathematical bridge explained in this article is expected to bring back to mind the synthetic and axiomatic roots of design geometries.
Açıklama
Anahtar Kelimeler
B-Spline, Compass-Only Construction, De Casteljau' S Algorithm, Bé Zier Curve, Geometrography, Architectural Geometry
Kaynak
Nexus Network Journal
WoS Q Değeri
Q4
Scopus Q Değeri
N/A
Cilt
23
Sayı
3
