Differential geometry of non-transversal intersection curves of three parametric hypersurfaces in Euclidean 4-space

DOI10.1016/j.cagd.2014.09.003zbMath1417.65075OpenAlexW2061820605WikidataQ115359914 ScholiaQ115359914MaRDI QIDQ1632300

Sayed Abdel-Naeim Badr, Bahar Uyar Düldül, Osmar Aléssio, Mustafa Düldül, Nassar H. Abdel-All

Publication date: 14 December 2018

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2014.09.003

zbMATH Keywords

curvaturesintersection curvenon-transversal intersection

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Can we find Willmore-like method for the tangential intersection problems? ⋮ Intersection curve of two parametric surfaces in Euclidean n-space ⋮ Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space ⋮ Differential geometry of non-transversal intersection curves of three implicit hypersurfaces in Euclidean 4-space ⋮ Non-transversal intersection curves of hypersurfaces in Euclidean 4-space

Cites Work

• Intersection curves of hypersurfaces in \(\mathbb R^4\)
• Willmore-like methods for the intersection of parametric (hyper)surfaces
• Differential geometry of intersection curves in \(\mathbb{R}^{4}\) of three implicit surfaces
• On the intersection curve of three parametric hypersurfaces
• Procedural method for evaluating the intersection curves of two parametric surfaces
• Differential geometry of intersection curves of two surfaces
• \(G^ 2\) interpolation and blending on surfaces
• Curvature formulas for implicit curves and surfaces
• Higher Curvatures of Curves in Euclidean Space
• A Triple Product of Vectors in Four-Space
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