Multidimensional Integral Inversion, with Applications in Shape Reconstruction

DOI10.1137/030601703zbMath1099.65128OpenAlexW2026448430MaRDI QIDQ5470354

Gene H. Golub, Peyman Milanfar, Brigitte M. Verdonk, Annie A. M. Cuyt

Publication date: 30 May 2006

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/030601703

zbMATH Keywords

moment probleminverse problemnumerical examplessingular value decompositionPadé approximantsmultivariate Stielties transform

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Padé approximation (41A21) Numerical methods for integral transforms (65R10) Moment problems (44A60) Numerical quadrature and cubature formulas (65D32)

Related Items (11)

Numerical reconstruction of convex polytopes from directional moments ⋮ Recovering an homogeneous polynomial from moments of its level set ⋮ Reconstruction of polygonal shapes from sparse Fourier samples ⋮ Rational symbolic cubature rules over the first quadrant in a Cartesian plane ⋮ Algebraic-exponential data recovery from moments ⋮ The inverse moment problem for convex polytopes ⋮ Learning of Translation-Invariant Independent Components: Multivariate Anechoic Mixtures ⋮ Superresolution of principal semi-algebraic sets ⋮ Bounding the support of a measure from its marginal moments ⋮ A new rational approximation technique based on transformational high dimensional model representation ⋮ Fourier, Gauss, Fraunhofer, Porod and the shape from moments problem

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