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Blending of implicit surfaces with functional splines

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Publication:920552
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DOI10.1016/0010-4485(90)90066-LzbMath0708.65017OpenAlexW2151707102MaRDI QIDQ920552

Erich Hartmann

Publication date: 1990

Published in: CAD. Computer-Aided Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4485(90)90066-l


zbMATH Keywords

algorithmsmoothingblendingimplicit surfacestransition surfaces


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17) Descriptive geometry (51N05)


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\(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids ⋮ Recognizing implicitly given rational canal surfaces ⋮ Cubic algebraic spline curves design ⋮ Determining surfaces of revolution from their implicit equations ⋮ Blending an implicit with a parametric surface ⋮ Construction of blending surfaces by parametric discrete interpolation PDE splines ⋮ Numerical implicitization for intersection and \(G^n\)-continuous blending of surfaces ⋮ Cubic algebraic curves based on geometric constraints ⋮ Geometric interpolants with different degrees of smoothness ⋮ On the convexity of functional splines



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