A Novel Generalization of Trigonometric Bézier Curve and Surface with Shape Parameters and Its Applications
المؤلفون المشاركون
Maqsood, Sidra
Hu, Gang
Ramli, Ahmad Lutfi Amri
Miura, Kenjiro T.
Abbas, Muhammad
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-25، 25ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-05-25
دولة النشر
مصر
عدد الصفحات
25
التخصصات الرئيسية
الملخص EN
Adopting a recurrence technique, generalized trigonometric basis (or GT-basis, for short) functions along with two shape parameters are formulated in this paper.
These basis functions carry a lot of geometric features of classical Bernstein basis functions and maintain the shape of the curve and surface as well.
The generalized trigonometric Bézier (or GT-Bézier, for short) curves and surfaces are defined on these basis functions and also analyze their geometric properties which are analogous to classical Bézier curves and surfaces.
This analysis shows that the existence of shape parameters brings a convenience to adjust the shape of the curve and surface by simply modifying their values.
These GT-Bézier curves meet the conditions required for parametric continuity (C0, C1, C2, and C3) as well as for geometric continuity (G0, G1, and G2).
Furthermore, some curve and surface design applications have been discussed.
The demonstrating examples clarify that the new curves and surfaces provide a flexible approach and mathematical sketch of Bézier curves and surfaces which make them a treasured way for the project of curve and surface modeling.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Maqsood, Sidra& Abbas, Muhammad& Hu, Gang& Ramli, Ahmad Lutfi Amri& Miura, Kenjiro T.. 2020. A Novel Generalization of Trigonometric Bézier Curve and Surface with Shape Parameters and Its Applications. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1194890
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Maqsood, Sidra…[et al.]. A Novel Generalization of Trigonometric Bézier Curve and Surface with Shape Parameters and Its Applications. Mathematical Problems in Engineering No. 2020 (2020), pp.1-25.
https://search.emarefa.net/detail/BIM-1194890
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Maqsood, Sidra& Abbas, Muhammad& Hu, Gang& Ramli, Ahmad Lutfi Amri& Miura, Kenjiro T.. A Novel Generalization of Trigonometric Bézier Curve and Surface with Shape Parameters and Its Applications. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1194890
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1194890
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر