Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices

DOI10.1007/BF02071383zbMath0824.65005OpenAlexW2027555482MaRDI QIDQ1895888

Charles A. Micchelli, Phillip J. Barry, Ronald N. Goldman

Publication date: 26 September 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02071383

zbMATH Keywords

algorithmsdifferentiationknot insertionpolar formsconnection matrixrecursive evaluationdual functionalsgeometrically continuous splineschange of basis\(B\)-spline curves

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical differentiation (65D25) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Theories of contact specified by connection matrices ⋮ \(B\)-slines with homogenized knots ⋮ de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves ⋮ Properties of functions in an auxiliary spline space ⋮ Extending B-spline tools and algorithms to geometrically continuous splines: A study of similarities and differences ⋮ Lattices and algorithms for bivariate Bernstein, Lagrange, Newton, and other related polynomial bases based on duality between \(L\)-bases and \(B\)-bases

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