A MATRIX PRESENTATION OF HIGHER ORDER DERIVATIVES OF BEZIER CURVE AND SURFACE

Küçük Resim Yok

Tarih

2021

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

Künye