THE UNIQUENESS REPRESENTATION OF NORMAL CURVATURE OF PARAMETRIC SURFACE

DOI10.17654/DM025010113zbMATH Open1499.53006OpenAlexW3087963364MaRDI QIDQ5075607

Qiaoyang Li, Taixia Cheng

Publication date: 16 May 2022

Published in: Advances and Applications in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/dm025010113

zbMATH Keywords

differential geometrynormal curvaturecomputer aided geometric designthe uniqueness representation of normal curvature

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Cites Work

• Curvature computations for \(n\)-manifolds in \(\mathbb{R}^{n+m}\) and solution to an open problem proposed by R. Goldman
• On the curvature of curves and surfaces defined by normalforms
• Reduced curvature formulae for surfaces, offset surfaces, curves on a surface and surface intersections
• Curvature formulas for implicit curves and surfaces

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