Scattered data approximation on the bisphere and application to texture analysis

DOI10.1007/s11004-010-9298-1zbMath1210.65021OpenAlexW2094797996MaRDI QIDQ600863

Daniel Potts, Frank-Dieter Filbir

Publication date: 3 November 2010

Published in: Mathematical Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11004-010-9298-1

zbMATH Keywords

fast Fourier transformcondition numberiterative methodsapproximation by spherical harmonicsnormal equationscattered data interpolationtexture analysisbisphere Marcienkiewicz-Zygmund inequality

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Related Items (3)

Convergence and Regularization of Sampling Series ⋮ Sampling, splines and frames on compact manifolds ⋮ Convolutions on the sphere: commutation with differential operators

Cites Work

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• Stability results for scattered data interpolation on the rotation group
• Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis
• A note on stability results for scattered data interpolation on Euclidean spheres
• On a filter for exponentially localized kernels based on Jacobi polynomials
• Stability results for scattered-data interpolation on Euclidean spheres
• Numerical methods for generalized least squares problems
• Efficient reconstruction of functions on the sphere from scattered data
• Polynomial operators for spectral approximation of piecewise analytic functions
• Marcinkiewicz–Zygmund Inequalities and Polynomial Approximation from Scattered Data onSO(3)
• Reconstruction Algorithms in Irregular Sampling
• Fast algorithms for discrete polynomial transforms
• Error estimates for scattered data interpolation on spheres
• Random Sampling of Multivariate Trigonometric Polynomials
• Approximation by Positive Definite Functions on Compact Groups
• Polynomial approximation on the sphere using scattered data
• Fast evaluation of quadrature formulae on the sphere
• The Radon transform on SO(3): a Fourier slice theorem and numerical inversion

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