A MATRIX PRESENTATION OF HIGHER ORDER DERIVATIVES OF BEZIER CURVE AND SURFACE
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Editura Bibliotheca-Bibliotheca Publ House
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, the Bezier curves and surfaces, which have an important place in interactive design applications, are expressed in matrix form using a special matrix that gives the coefficients of the Bernstein base polynomial. The matrix forms of higher order derivatives of the Bezier curves and surfaces are obtained. It is demonstrated by numerical examples that the bidirectional transition between the control points and parametric equations of the Bezier curves and surfaces can be easily achieved using these matrix forms. In addition, it is demonstrated that this type of curve and surface, whose control points are known, its higher order derivatives can be calculated without it's parametric equations. In this study, the Bezier curves and surfaces are presented in a more easily understandable and easy to use format in algebraic form for designers.
Açıklama
Anahtar Kelimeler
Bezier curves, Bezier surfaces, the matrix form, the derivative for Bezier
Kaynak
Journal of Science and Arts
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
Sayı
1