Surface Reconstruction and Lagrange Basis Polynomials

DOI10.1007/978-3-540-78827-0_77zbMath1229.65042OpenAlexW1528760132MaRDI QIDQ3616867

Rumen Uluchev, Irina Georgieva

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_77

Mathematics Subject Classification ID

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

Related Items (5)

Harmonic interpolation based on Radon projections along the sides of regular polygons ⋮ Interpolating solutions of the Poisson equation in the disk based on Radon projections ⋮ Interpolation of harmonic functions based on Radon projections ⋮ New results on regularity and errors of harmonic interpolation using Radon projections ⋮ Cubature rules for harmonic functions based on Radon projections

Cites Work

• Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type
• The X-ray transform
• Numerical integration over a disc. A new Gaussian quadrature formula
• Uniqueness of the Gaussian quadrature for a ball
• On the reconstruction of a function on a circular domain from a sampling of its line integrals
• Smoothing of Radon projections type of data by bivariate polynomials
• Abhängigkeiten zwischen den Flächenintegralen einer stetigen Funktion
• The Mathematics of Computerized Tomography
• Tomographic reconstruction with arbitrary directions
• Interpolation by bivariate polynomials based on Radon projections
• Reconstruction of a Polynomial from Its Radon Projections

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