Powell-Sabin splines in range restricted interpolation of scattered data

DOI10.1007/BF02252986zbMath0811.65004OpenAlexW89737844MaRDI QIDQ1337636

Jochen W. Schmidt, Bernd Mulansky

Publication date: 2 May 1995

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252986

zbMATH Keywords

interpolation of scattered dataPowell-Sabin splinesinterpolating splinesquadratic splinesrange restrictions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items

Shape-preserving surfaces with constraints on tension parameters ⋮ Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions ⋮ Interpolation in a derivative strip ⋮ Fair upper bounds for the curvature in univariate convex interpolation ⋮ Constructive methods in convex \(C^ 2\) interpolation using quartic splines ⋮ Quadratic spline quasi-interpolants on Powell-Sabin partitions ⋮ On calculating normalized Powell-Sabin B-splines ⋮ \(C^2\) interpolation with range restriction ⋮ Interpolation with quintic Powell-Sabin splines ⋮ Univariate range-restricted \(C^2\) interpolation algorithms ⋮ Nonnegativity preserving macro-element interpolation of scattered data ⋮ A \(C^{1}\)-rational spline in range restricted interpolation of scattered data ⋮ Range restricted scattered data interpolation using convex combination of cubic Bézier triangles ⋮ Scattered data interpolation subject to piecewise quadratic range restrictions ⋮ Range restricted interpolation using Gregory's rational cubic splines ⋮ \(GC^1\) shape-preserving trigonometric surfaces

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