Approximation and geometric modeling with simplex B-splines associated with irregular triangles

DOI10.1016/0167-8396(91)90050-LzbMath0715.65010OpenAlexW2089157941MaRDI QIDQ751749

D. Kharzeev

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0167-8396(91)90050-l

zbMATH Keywords

effective modeling of scattered dataHermite B-splinesirregular trianglessimplex B-splines

Mathematics Subject Classification ID

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

Related Items

Triangular NURBS and their dynamic generalizations ⋮ An implementation of triangular B-spline surfaces over arbitrary triangulations ⋮ Computer-aided geometric design of geologic surfaces and bodies

Cites Work

• A storage-efficient method for construction of a Thiessen triangulation
• A survey of curve and surface methods in CAGD
• A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
• Spline approximation operators of Bernstein-Schoenberg type in one and two variables
• On the Linear Independence of Multivariate B-Splines. II: Complete Configurations
• The Computational Cost of Simplex Spline Functions
• The Stable Evaluation of Multivariate Simplex Splines
• A general two-dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings
• Multivariate Splines
• On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids
• Automatic triangulation of arbitrary planar domains for the finite element method
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