Shape-preserving approximation of spatial data

DOI10.1023/A:1025803122254zbMath1045.65010OpenAlexW126449241MaRDI QIDQ1424943

Francesca Pelosi, Paolo Giuseppe Costantini

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1023/a:1025803122254

zbMATH Keywords

splinesbest approximationparametric curvesshape preserving interpolationtension propertygraphical examples

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Approximation with constraints (41A29) Spline approximation (41A15)

Related Items (15)

Geometric construction of spline curves with tension properties ⋮ Curve and surface construction using Hermite subdivision schemes ⋮ Shape preserving histogram approximation ⋮ A class of spline curves with four local shape parameters ⋮ Shape-preserving interpolation on surfaces via variable-degree splines ⋮ Shape preserving approximation by spatial cubic splines ⋮ Isogeometric analysis in advection-diffusion problems: Tension splines approximation ⋮ PROPERTIES AND APPLICATIONS OF NEW POLYNOMIAL SPACES ⋮ Geometric construction of quintic parametric B-splines ⋮ Bivariate variational splines with monotonicity constraints ⋮ Compactly Supported Splines with Tension Properties on a Three-Direction Mesh ⋮ Locally optimal knots and tension parameters for exponential splines ⋮ Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ New spline spaces with generalized tension properties

This page was built for publication: Shape-preserving approximation of spatial data