Constant-Ratio Blended Models of Curves and Surfaces in Euclidean 3-Space

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Bulca Sokur B.

JOURNAL OF MATHEMATICS, cilt.2025, sa.1, 2025 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2025 Sayı: 1
• Basım Tarihi: 2025
• Doi Numarası: 10.1155/jom/2617517
• Dergi Adı: JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We consider a simple blending method for parametric curves and surfaces. The described blending method offers a systematic approach to creating smooth transitions between parametric curves and surfaces while maintaining Cn-continuity. It utilizes the parametrizations of the original objects to achieve predictable variations in shape and enables the generation of families of blending curves and surfaces with controlled characteristics. Therefore, considering the blending of the curves/surfaces to be constant-ratio objects, some results on the blending functions are obtained.