Geometric continuity

DOI10.1016/0167-8396(91)90049-HzbMath0715.65009MaRDI QIDQ751748

Joe Warren, Thomas Garrity

Publication date: 1991

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

zbMATH Keywords

computer aided designgeometric continuitygeometric fittingsmooth fitting of surface patches

Mathematics Subject Classification ID

Real algebraic sets (14P05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

NURBS approximation of surface / surface intersection curves ⋮ A refinable space of smooth spline surfaces of arbitrary topological genus ⋮ Geometric control of \(G^{2}\)-cubic A-splines ⋮ Computing all parametric solutions for blending parametric surfaces ⋮ A new insight into the \(G^{n}\) continuity of polynomial surfaces ⋮ Recursive \(G^{k}\) transformations between adjacent Bézier surfaces ⋮ Implicit \(G^{n}\)-blending of vertices ⋮ Geometric interpolants with different degrees of smoothness ⋮ Subdivision and G-spline hybrid constructions for high-quality geometric and analysis-suitable surfaces ⋮ NATURAL REPRESENTATION OF SHAPES WITH SINGULARITIES

Cites Work

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• On computing the intersection of a pair of algebraic surfaces
• Geometric continuity and convex combination patches
• Geometric continuous patch complexes
• Visual continuity
• Projectively invariant classes of geometric continuity for CAGD
• Stability of the B-spline basis via knot insertion
• \(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids
• Blending algebraic surfaces

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