A computational framework for image-based constrained registration
type: Item
instance of: scholarly article
title: A computational framework for image-based constrained registration
zbMATH Open document ID: 1168.94002
author: Eldad Haber
author: Stefan Heldmann
author: Jan Modersitzki
published in: Linear Algebra and its Applications
publication date: 2009-06-23T00:00:00Z
review text: The authors develop a framework for local constrained image registration and apply it to rigidity and volume constraints. It is worth to emphasize that there are a few features that distinguish the method presented in this paper compared to others. The features are as follows: \begin{itemize}\item[1.] The proposed method uses constraints rather than a penalty and in view of this fact the constraints are actually fulfilled. Additionally, using constrained optimization does not require choosing a penalty parameter. \item[2.] The Lagrangian approach saves the need to track the domain of the constraints but adds the cost of computing the determinant of the Jocobian. \item[3.] They use sequential quadratic programming for solving the constrained optimization problem. \item[4.] They examine rigidity and volume constraints. They present that the increase of computations stayed moderate with approximately 15\% compared to a unconstrained approach. At the end, in the numerical experiments they show that adding constraints can increase the reliability of non parametric registration and reduce the inherent non-uniqueness of the problems. As the results they advocate that adding constraints will became common practice in image registrations.\end{itemize}
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 5569006
zbMATH Keywords: image registration
zbMATH Keywords: elastic matching
zbMATH Keywords: constrained image registration
zbMATH Keywords: local rigidity
reviewed by: Jerzy August Gawinecki
describes a project that uses: filterSQP
MaRDI profile type: Publication
full work available at URL: j.laa.2009.03.020
OpenAlex ID: W1976993630
cites work: Computing large deformation metric mappings via geodesic flows of diffeomorphisms
cites work: Principal warps: thin-plate splines and the decomposition of deformations
cites work: An Interior Point Algorithm for Large-Scale Nonlinear Programming
cites work: Q4409539
cites work: Fast inversion of matrices arising in image processing
cites work: Q4409542
cites work: Curvature based image registration
cites work: Ill-posed medicine—an introduction to image registration
cites work: Numerical Experience with Lower Bounds for MIQP Branch-And-Bound
cites work: On the Global Convergence of a Filter--SQP Algorithm
cites work: A review of image-warping methods
cites work: Numerical methods for volume preserving image registration
cites work: Variational methods for multimodal image matching
cites work: Q4441256
cites work: Numerical Optimization
cites work: Landmark-based image analysis. Using geometric and intensity models.
DOI: 10.1016/J.LAA.2009.03.020
description: scientific article; zbMATH DE number 5569006