Spline surface fitting using normal data and norm-like functions

DOI10.1016/j.cagd.2018.06.005zbMath1505.65089OpenAlexW2811080561MaRDI QIDQ1711792

David Großmann, Bert Jüttler, Agnes Seiler

Publication date: 18 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2018.06.005

zbMATH Keywords

spline surface fittingapproximate \(G^1\) smoothnessnorm-like functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

An approach to construct a three-dimensional isogeometric model from \(\mu\)-CT scan data with an application to the bridge of a violin

Uses Software

• FITPACK

Cites Work

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• Fitting curves and surfaces to point clouds in the presence of obstacles
• Constructing iterative non-uniform \(B\)-spline curve and surface to fit data points
• Effortless quasi-interpolation in hierarchical spaces
• Distance regression by Gauss-Newton-type methods and iteratively re-weighted least-squares
• Intrinsic parametrization for approximation
• Least-squares fitting of algebraic spline surfaces
• Reparameterization and adaptive quadrature for the isogeometric discontinuous Galerkin method
• Spline approximation by quasiinterpolants
• \(G^ 1\) continuity of \(B\)-spline surface patches in reverse engineering
• Isogeometric analysis with geometrically continuous functions on two-patch geometries
• Reconstruction of convergent \(G_1\) smooth B-spline surfaces
• Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements
• THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
• A Comparison of Different Progressive Iteration Approximation Methods

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