Generating and Characterization Loft Surface by Type-2-Bishop Frame in Isotropic Space
Wageeda Mohamed Mahmoud,
Mohamed Abdellatif Soliman,
Samar Abdel Hafez Moukhtar
Abstract:This paper aims to design and generate a loft surface using three distinct curves (Hermitee cubic curve, straight line, and quadratic Bezier curve) and analyze its characteristics in isotropic space using type-2-Bishop. Moreover, the loft surface's 1st and 2nd - fundamental forms in the loft surface were investigated. In addition, their Gaussian, mean, and second Gaussian curvatures in I3 were computed using the first and second type-2-Bishop curvatures. Furthermore, the required and adequate conditions for th… Show more
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