Asymptotic Frame Fields of Rational Bézier Curves

Basit Öğe Kaydı
dc.contributor.authorCeylan, Ayşe Yılmaz
dc.contributor.authorTurhan, Tunahan
dc.contributor.authorTükel, Gözde Özkan
dc.date.accessioned2023-04-10T20:28:01Z
dc.date.available2023-04-10T20:28:01Z
dc.date.issued2021
dc.departmentRektörlük, Rektörlüğe Bağlı Birimler, Düzce Üniversitesi Dergilerien_US
dc.description.abstractBézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which facilitate theoretical developments. A rational Bézier curve may be evaluated by applying the de Casteljau algorithm to both numerator and denominator and finally dividing through. The curves are defined by suitable control points and corresponding scalar weights. In this work, we constitute the asymptotic orthonormal frame field of a spacelike quadratic rational Bézier curve at all points on 2 and 3- dimensional lightlike cones which are degenerate surfaces in Minkowski 3 and 4-spaces. We get the formulas of curvatures for a spacelike quadratic rational Bézier curve 2 and 3-dimensional lightlike cones.en_US
dc.identifier.doi10.29130/dubited.1016157
dc.identifier.endpage268en_US
dc.identifier.issn2148-2446
dc.identifier.issue6en_US
dc.identifier.startpage259en_US
dc.identifier.trdizinid499054en_US
dc.identifier.urihttp://doi.org/10.29130/dubited.1016157
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/499054
dc.identifier.urihttps://hdl.handle.net/20.500.12684/11858
dc.identifier.volume9en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofDüzce Üniversitesi Bilim ve Teknoloji Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleAsymptotic Frame Fields of Rational Bézier Curvesen_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
11858.pdf
Boyut:
358.61 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin / Full Text
İndir

Koleksiyon

TR-Dizin İndeksli Yayınlar Koleksiyonu
Düzce Üniversitesi Bilim ve Teknoloji Dergisi Koleksiyonu