Use of a double Fourier series for three-dimensional shape representation
type: Item
instance of: scholarly article
title: Use of a double Fourier series for three-dimensional shape representation
zbMATH Open document ID: 1210.65207
author: Artemy Baxansky
author: Nahum Kiryati
published in: Computing
publication date: 2010-08-06T00:00:00Z
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42B05
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 5764657
zbMATH Keywords: Fourier series on spheres
zbMATH Keywords: three-dimensional shape analysis
zbMATH Keywords: star-shaped objects
zbMATH Keywords: moments
zbMATH Keywords: numerical examples
zbMATH Keywords: convolution theorem
zbMATH Keywords: complexity
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s00607-010-0092-1
OpenAlex ID: W1980203308
cites work: Calculating geometric properties of three-dimensional objects from the spherical harmonic representation
cites work: Double Fourier series on a sphere: Applications to elliptic and vorticity equations
cites work: Application of double Fourier series to the shallow water equations on a sphere
cites work: Q3518604
cites work: Computing Fourier transforms and convolutions on the 2-sphere
cites work: FFTs for the 2-sphere-improvements and variations
cites work: A fast spectral method for active 3D shape reconstruction
cites work: Q4449685
DOI: 10.1007/S00607-010-0092-1
Recommended article: Shape representation using Fourier coefficients of the sinusoidal transform
Recommended article: Fourier Series in Three Dimensions
Recommended article: Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis
Recommended article: A unified representation of folded surfaces via Fourier series
description: scientific article; zbMATH DE number 5764657