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Dergiler / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 2

Interpolation of Surfaces with Line of Curvature

Ergin Bayram
Sayfa
239–246
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The method is validated with illustrative examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We introduce a method to construct parametric surfaces interpolating given finite points and a curve as a line of curvature in 3-dimensional Euclidean space.
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Temel Bulgular & Veri:We present an existence theorem of a $C^{0}$-Hermite interpolation of surfaces possessing the given data.
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Sonuç & Katkı:The method is validated with illustrative examples.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$C^{0}$-Hermite interpolation · line of curvature · parametric surface

Abstract

We introduce a method to construct parametric surfaces interpolating given finite points and a curve as a line of curvature in 3-dimensional Euclidean space. We present an existence theorem of a $C^{0}$-Hermite interpolation of surfaces possessing the given data. We show that every parameter curve of a constructed surface is a circular helix if the given curve is a circular helix. The method is validated with illustrative examples.

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Bu Makaleye Atıf Yap

Bayram, E. (2022). Interpolation of Surfaces with Line of Curvature. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 2, 239–246. https://ajindex.com/articles/539595

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Kaynakça (13)

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