Triangular NURBS and their dynamic generalizations

DOI10.1016/S0167-8396(96)00062-3zbMath0906.68166OpenAlexW2118994444MaRDI QIDQ1392265

Hong Qin, Demetri Terzopoulos

Publication date: 23 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(96)00062-3

zbMATH Keywords

finite elementsdynamicsconstraintsscattered data fittingCAGDinteractive sculptingphysics-based modelingsolid roundingtriangular B-splinestriangular NURBS

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15)

Related Items (3)

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement ⋮ Reproducing kernel triangular B-spline-based FEM for solving PDEs ⋮ 2D and 3D finite element meshing and remeshing

Cites Work

• An implementation of triangular B-spline surfaces over arbitrary triangulations
• Approximation and geometric modeling with simplex B-splines associated with irregular triangles
• Representing PDE surfaces in terms of B-splines
• Dynamic NURBS swung surfaces for physics-based shape design
• Stabilization of constraints and integrals of motion in dynamical systems
• The Stable Evaluation of Multivariate Simplex Splines
• Multivariate Splines
• On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids
• Blossoming Begets B-Spline Bases Built Better by B-Patches
• Heaviside and Kelvin: A study in contrasts
• Dynamic NURBS with geometric constraints for interactive sculpting
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