Surfaces with prescribed curvature. I

DOI10.1016/0167-8396(93)90021-TzbMath0796.65015OpenAlexW1975464317MaRDI QIDQ1315818

Roger K. E. Andersson

Publication date: 10 October 1994

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

Full work available at URL: https://doi.org/10.1016/0167-8396(93)90021-t

zbMATH Keywords

computer aided geometric designprescribed curvatureinteractive surface design

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Shape control of Bézier surfaces with iso-parametric monotone curvature constraints ⋮ \(\mathbb R\)-mapping based method for designing of form cutting tool for sculptured surface machining. ⋮ Sectional-curvature preserving skinning surfaces ⋮ Class A Bézier curves

Cites Work

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• A priori bounds and necessary conditions for solvability of prescribed curvature equations
• The equation of prescribed Gauss curvature without boundary conditions
• Automatic construction of surfaces with prescribed shape
• On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
• The Dirichlet problem for the equation of prescribed Gauss curvature
• The neumann problem for equations of monge-ampère type
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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