\(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids

DOI10.1016/0167-8396(90)90032-MzbMath0721.65005OpenAlexW1608206702MaRDI QIDQ2641066

Erich Hartmann, Jinggong Li, Josef Hoschek

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-8396(90)90032-m

zbMATH Keywords

convexitycomputer aided designfunctional splinesgeometric continuityinterpolating splinesfunctional interpolationblended surfacesspline curves and surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (15)

Convexity preserving interpolation by algebraic curves and surfaces ⋮ Curvature computations on surfaces in $n$-space ⋮ In memoriam Josef Hoschek ⋮ \(GC^1\) multisided Bézier surfaces ⋮ Geometric control of \(G^{2}\)-cubic A-splines ⋮ Cubic algebraic spline curves design ⋮ Blending an implicit with a parametric surface ⋮ Recursive \(G^{k}\) transformations between adjacent Bézier surfaces ⋮ Numerical implicitization for intersection and \(G^n\)-continuous blending of surfaces ⋮ Implicit \(G^{n}\)-blending of vertices ⋮ Cubic algebraic curves based on geometric constraints ⋮ Geometric interpolants with different degrees of smoothness ⋮ ConstructingG¹continuous curve on a free-form surface with normal projection ⋮ On the convexity of functional splines ⋮ Geometric continuity

Cites Work

• Blending of implicit surfaces with functional splines
• Piecewise quadric blending of implicitly defined surfaces
• Geometric continuity and convex combination patches
• Automatic surface generation in computer aided design
• A constructive geometry for computer graphics
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