Manifold-based surfaces with boundaries

DOI10.1016/j.cagd.2010.07.005zbMath1209.65023OpenAlexW1992867567MaRDI QIDQ631057

Denis Zorin, Elif Tosun

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.07.005

zbMATH Keywords

manifoldsgeometric modelinghigh-order surfaces

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

On constructing RAGS via homogeneous splines, Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology, Geometrically smooth spline bases for data fitting and simulation, Manifold-based isogeometric analysis basis functions with prescribed sharp features, Analysis-suitable unstructured T-splines: multiple extraordinary points per face, An optimally convergent smooth blended B-spline construction for semi-structured quadrilateral and hexahedral meshes, RAGS: rational geometric splines for surfaces of arbitrary topology, Parametric pseudo-manifolds, Manifold construction over polyhedral mesh, Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout, Isogeometric analysis using manifold-based smooth basis functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
• A \(C^ 2\) polygonal surface patch
• Curvature continuous spline surfaces over irregular meshes
• Degenerate Bézier patches with continuous curvature
• Freeform splines
• \(C^{2}\) free-form surfaces of degree (3,5)
• Modeling surfaces from meshes of arbitrary topology
• The perfect B-splines and a time-optimal control problem
• A Method for Analysis ofC¹-Continuity of Subdivision Surfaces
• Mathematics of Surfaces
• Manifold splines
• A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications