THE EXCHANGE VARIATIONS BETWEEN BEZIER DIRECTRIX CURVES OF TWO DEVELOPABLE RULED SURFACES
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Developable ruled surfaces and Bezier curves are widely used in Computer Aided Geometric Deisgn (CAGD). A ruled surface is a surface generated by sweeping a line through space, or more specifically, sweeping a line along a directrix curve. A developable ruled surface is a surface where the surface normal at all points along a given ruling is constant. If the generators and directrix curve of a developable ruled surface are known, operations with these surfaces and designs of them are much simplified. In this paper, we present obtaining the Bezier directrix curve of a developable ruled surface from the Bezier directrix curve of the other developable ruled surface and the exchange variations of the arc lengths of these directrix curves. Also, we expressed the curvature exchanges between these Bezier directrix curves of two developable ruled surfaces. Also, based on this variation, we have discussed some ideas about the variations of developable ruled surfaces.
Açıklama
Anahtar Kelimeler
Developable ruled surface, Bezier curve, Arc length, Variation
Kaynak
Journal of Dynamical Systems and Geometric Theories
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
13
Sayı
2
