A \(C^ 2\) polygonal surface patch

DOI10.1016/0167-8396(89)90007-1zbMath0664.65016OpenAlexW2064547597MaRDI QIDQ1115089

Jörg M. Hahn, John A. Gregory

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-8396(89)90007-1

zbMATH Keywords

geometric continuitypolygonal surface patch

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Algorithms for approximation of functions (65D15) Descriptive geometry (51N05)

Related Items (15)

Ribbon-based transfinite surfaces ⋮ Ensuring compatibility of \(G^{2}\)-continuous surface patches around a nodepoint ⋮ Geometric continuous patch complexes ⋮ Biquintic \(G^2\) surfaces via functionals ⋮ Splines for meshes with irregularities ⋮ Guided spline surfaces ⋮ Blending Bézier patch for multi-sided surface modeling ⋮ Manifold-based surfaces with boundaries ⋮ Minimal energy surfaces using parametric splines ⋮ Joining smooth patches around a vertex to form a \(C^ k\) surface ⋮ A rectangular \(G^{m}\)-continuous filling surface patch and some improvements at corners ⋮ An Introduction to Guided and Polar Surfacing ⋮ Local smooth surface interpolation: A classification ⋮ Subdivision and G-spline hybrid constructions for high-quality geometric and analysis-suitable surfaces ⋮ \(C^{2}\) free-form surfaces of degree (3,5)

Cites Work

• A pentagonal surface patch for computer aided geometric design
• Geometric continuity and convex combination patches
• Geometric continuous patch complexes
• Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation
• Unnamed Item

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