On constructing RAGS via homogeneous splines

DOI10.1016/j.cagd.2016.02.010zbMath1418.65010OpenAlexW2285122163MaRDI QIDQ1632424

Marian Neamtu, Carolina Vittoria Beccari

Publication date: 14 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2016.02.010

zbMATH Keywords

unstructured mesharbitrary topological genuspiecewise rational functionhomogeneous geometryhomogeneous splinesplines on triangulations

Mathematics Subject Classification ID

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

Related Items

Quadrilateral orbifold splines

Uses Software

• SplinePak

Cites Work

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• RAGS: rational geometric splines for surfaces of arbitrary topology
• Isogeometric boundary element analysis using unstructured T-splines
• Manifold splines with a single extraordinary point
• Manifold-based surfaces with boundaries
• Multiperiodic functions for surface design
• A construction of rational manifold surfaces of arbitrary topology and smoothness from triangular meshes
• Bernstein-Bézier polynomials on spheres and sphere-like surfaces
• Parametrization and smooth approximation of surface triangulations
• Modeling surfaces from meshes of arbitrary topology
• Fitting scattered data on sphere-like surfaces using spherical splines
• Hybrid Bézier patches on sphere-like surfaces
• Subdivision surfaces
• Spline Functions
• Spline Functions on Triangulations
• Dimension and Local Bases of Homogeneous Spline Spaces

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