Shape preserving approximation by spatial cubic splines

DOI10.1016/j.cagd.2009.07.001zbMath1205.65051OpenAlexW2007781518MaRDI QIDQ625243

Boon-Hua Ong, Voon Pang Kong

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.07.001

zbMATH Keywords

cubic B-splinesshape preserving approximationleast-square approximationlinear shape preservation conditionsspatial curve Fitting

Mathematics Subject Classification ID

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

Related Items

Direction-consistent tangent vectors for generating interpolation curves ⋮ Shape-preserving interpolation on surfaces via variable-degree splines ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ Piecewise polynomial curves with normalized derivatives ⋮ Approximation of parametric curves by moving least squares method ⋮ Curve construction based on five trigonometric blending functions ⋮ Inflection points on 3D curves ⋮ A class of general quartic spline curves with shape parameters ⋮ Certified approximation of parametric space curves with cubic \(B\)-spline curves ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Convexity-preserving approximation by univariate cubic splines

Uses Software

• Matlab
• FITPACK
• Optimization Toolbox

Cites Work

• A dual algorithm for convex-concave data smoothing by cubic \(C^ 2\)- splines
• An algorithm for computing constrained smoothing spline functions
• An algorithm for cubic spline fitting with convexity constraints
• Least squares data fitting using shape preserving piecewise approximations
• Shape preserving interpolation by space curves
• Shape preserving least-squares approximation by polynomial parametric spline curves
• Shape-preserving approximation of spatial data
• Inflections on curves in two and three dimensions
• Shape-preserving interpolation in R3
• Shape-preserving approximation by space curves
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