Use of a double Fourier series for three-dimensional shape representation

DOI10.1007/s00607-010-0092-1zbMath1210.65207OpenAlexW1980203308MaRDI QIDQ985738

Artemy Baxansky, Nahum Kiryati

Publication date: 6 August 2010

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-010-0092-1

zbMATH Keywords

momentscomplexityconvergencenumerical examplesconvolution theoremstar-shaped objectsFourier series on spheresthree-dimensional shape analysis

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier series and coefficients in several variables (42B05) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

On the Lebesgue summablility of truncated double Fourier series ⋮ Perturbation solution for the viscoelastic 3D flow around a rigid sphere subject to simple shear

Cites Work

• Calculating geometric properties of three-dimensional objects from the spherical harmonic representation
• Computing Fourier transforms and convolutions on the 2-sphere
• FFTs for the 2-sphere-improvements and variations
• A fast spectral method for active 3D shape reconstruction
• Double Fourier series on a sphere: Applications to elliptic and vorticity equations
• Application of double Fourier series to the shallow water equations on a sphere
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