Nonnegative surface fitting with Powell-Sabin splines

DOI10.1007/BF02141591zbMath0832.65007MaRDI QIDQ1895872

Karin Willemans, Paul Dierckx

Publication date: 5 March 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

algorithmssmoothingnumerical examplesdata fittingscattered dataBernstein-Bézier formPowell-Sabin splinesnonnegative splineslocal support basis functionsnonnegative bivariate smoothing spline fitting

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10)

Related Items

Smooth bivariate shape-preserving cubic spline approximation ⋮ Nonnegative data interpolation by spherical splines ⋮ Nonnegative surface fitting with Powell-Sabin splines ⋮ Scattered data interpolation with nonnegative preservation using bivariate splines and its application ⋮ On calculating normalized Powell-Sabin B-splines ⋮ Nonnegativity preserving macro-element interpolation of scattered data ⋮ Scattered data interpolation subject to piecewise quadratic range restrictions

Uses Software

• LSQR
• NAG
• nag
• FITPACK
• CRAIG

Cites Work

• NAG
• Bounds on the dimension of spaces of multivariate piecewise polynomials
• Nonnegativity of bivariate quadratic functions on a triangle
• Positive, monotone, and \(S\)-convex \(C^ 1\)-interpolation on rectangular grids
• Nonnegative quadratic Bézier triangular patches
• Surface fitting using convex Powell-Sabin splines
• Nonnegative surface fitting with Powell-Sabin splines
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Algorithms for surface fitting using Powell-Sabin splines
• Piecewise Quadratic Approximations on Triangles
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