A Levenberg--Marquardt scheme for nonlinear image registration

DOI10.1023/B:BITN.0000009940.58397.98zbMath1047.65048OpenAlexW1998598480MaRDI QIDQ1425206

Stefan Henn

Publication date: 15 March 2004

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:bitn.0000009940.58397.98

zbMATH Keywords

image processingnumerical experimentsdiscrete approximationill-posed problemLevenberg-Marquardt methodimage registrationnonlinear least squaresphysical regularizationsteepest descent methodsquadratic minimization problem

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical optimization and variational techniques (65K10) Existence theories for free problems in two or more independent variables (49J10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Discrete approximations in optimal control (49M25)

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An inexact non stationary Tikhonov procedure for large-scale nonlinear ill-posed problems ⋮ A structured diagonal Hessian approximation method with evaluation complexity analysis for nonlinear least squares ⋮ On an elliptical trust-region procedure for ill-posed nonlinear least-squares problems ⋮ A brief survey of methods for solving nonlinear least-squares problems ⋮ A translation and rotation invariant Gauss-Newton like scheme for image registration ⋮ Local convergence analysis of the Levenberg-Marquardt framework for nonzero-residue nonlinear least-squares problems under an error bound condition

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