A unified approach to fast image registration and a new curvature based registration technique.

DOI10.1016/j.laa.2003.10.021zbMath1072.68631OpenAlexW2107667557MaRDI QIDQ1428613

Bernd Fischer, Jan Modersitzki

Publication date: 29 March 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.10.021

zbMATH Keywords

Variational approachImage registrationFast linear solvers

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Linear transformations, semilinear transformations (15A04)

Related Items (17)

Improved variational image registration model and a fast algorithm for its numerical approximation ⋮ Variational image registration by a total fractional-order variation model ⋮ LAVIR -- locally adaptive variational image registration ⋮ A Fourth-Order Compact Finite Difference Scheme for Higher-Order PDE-Based Image Registration ⋮ Constrained linear curvature image registration model and its numerical algorithm ⋮ A robust multigrid approach for variational image registration models ⋮ 3D Orientation-Preserving Variational Models for Accurate Image Registration ⋮ Topology- and convexity-preserving image segmentation based on image registration ⋮ Variational method for super-resolution optical flow ⋮ A lattice Boltzmann method applied to the fluid image registration ⋮ An alternating direction implicit scheme of a fractional-order diffusion tensor image registration model ⋮ Large scale problems arising from image registration ⋮ Topology-preserving 3D image segmentation based on hyperelastic regularization ⋮ A fast multi grid algorithm for 2D diffeomorphic image registration model ⋮ A novel diffeomorphic model for image registration and its algorithm ⋮ A Fourier domain framework for variational image registration ⋮ Fractional regularization term for variational image registration

Uses Software

• FLIRT

Cites Work

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• Curvature based image registration
• Landmark-based image analysis. Using geometric and intensity models.
• A multigrid approach for minimizing a nonlinear functional for digital image matching
• Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems
• Group actions, homeomorphisms, and matching: A general framework
• Fast inversion of matrices arising in image processing
• Determining optical flow
• Principal warps: thin-plate splines and the decomposition of deformations
• The Discrete Cosine Transform
• A Nonlinear Variational Problem for Image Matching
• Biomedical Image Registration
• Biomedical Image Registration
• Image registration, optical flow and local rigidity

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