A research note on design of fair surfaces over irregular domains using data-dependent triangulation

DOI10.1016/j.apm.2007.07.008zbMath1145.65305OpenAlexW2054593642MaRDI QIDQ949998

B. E. Eshmatov

Publication date: 22 October 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2007.07.008

zbMATH Keywords

cubic splinescattered data interpolationminimum energy surface\(C^{1}\) continuous surfacedata-dependent triangulationsurface Fitting

Mathematics Subject Classification ID

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

Uses Software

• D-NURBS
• Algorithm 624

Cites Work

• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Minimal energy surfaces using parametric splines
• On optimal triangular meshes for minimizing the gradient error
• Vertex based data dependent triangulations
• On constants for cuttings in the plane
• Advances in scattered data interpolation
• Recent methods for surface shape optimization
• Ray shooting and stone throwing with near-linear storage
• TMC tetrahedral types MOD \(2k+1\) and their structure graphs
• Computing depth orders for fat objects and related problems
• Cubic spline fitting using data dependent triangulations
• Data Dependent Triangulations for Piecewise Linear Interpolation
• Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions
• Scattered Data Interpolation: Tests of Some Method
• Dynamic NURBS with geometric constraints for interactive sculpting
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