Analysis of Measurements Based on the Singular Value Decomposition

DOI10.1137/0902029zbMath0468.65069OpenAlexW2136184412MaRDI QIDQ3922123

Michael J. Norris, Richard J. Hanson

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1137/0902029

zbMATH Keywords

singular value decompositionleast squaresquality controlorthogonal matricesorthogonal Procrustes problemanalysis of measurementspart matching

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Probabilistic methods, stochastic differential equations (65C99)

Related Items (12)

On condition numbers and algorithms for determining a rigid body movement ⋮ A planar minimax algorithm for analysis of coordinate measurements ⋮ The solution of orthogonal Procrustes problems for a family of orthogonally invariant norms ⋮ Synchronization over Cartan Motion Groups via Contraction ⋮ Computing Helmert transformations ⋮ Perturbation bounds on the polar decomposition ⋮ Robust registration of point sets using iteratively reweighted least squares ⋮ Robust registration of surfaces using a refined iterative closest point algorithm with a trust region approach ⋮ Orthogonal least squares fitting with cylinders ⋮ An algorithm for matching point sets using the \(l_1\) norm ⋮ Reliable updates of the transformation in the iterative closest point algorithm ⋮ Perturbation analysis of the orthogonal Procrustes problem

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