A class of spline functions for landmark-based image registration

DOI10.1002/mma.1610zbMath1256.94009OpenAlexW2059188005MaRDI QIDQ2894255

Roberto Cavoretto, Alessandra De Rossi, Giampietro Allasia

Publication date: 29 June 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1610

zbMATH Keywords

interpolationimage processingradial basis functionselastic registrationLobachevsky splineslandmark-based transformations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical interpolation (65D05)

Related Items (21)

A strong converse inequality for generalized sampling operators ⋮ Multivariate neural network interpolation operators ⋮ Lobachevsky spline functions and interpolation to scattered data ⋮ Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces ⋮ Detection of thermal bridges from thermographic images by means of image processing approximation algorithms ⋮ Quantitative estimates for sampling type operators with respect to the Jordan variation ⋮ Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series ⋮ Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing ⋮ A Quantitative Estimate for the Sampling Kantorovich Series in Terms of the Modulus of Continuity in Orlicz Spaces ⋮ Variation diminishing-type properties for multivariate sampling Kantorovich operators ⋮ Local interpolation schemes for landmark-based image registration: a comparison ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ Topology analysis of global and local RBF transformations for image registration ⋮ Numerical integration on multivariate scattered data by Lobachevsky splines ⋮ B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems ⋮ The max-product generalized sampling operators: convergence and quantitative estimates ⋮ A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods ⋮ Convergence of sampling Kantorovich operators in modular spaces with applications ⋮ Extension of saturation theorems for the sampling Kantorovich operators ⋮ Approximation by max-product sampling Kantorovich operators with generalized kernels ⋮ Max-product type multivariate sampling operators and applications to image processing

Uses Software

• Matlab
• MIPAV

Cites Work

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• Matlab
• Geometric modeling and motion analysis of the epicardial surface of the heart
• On the convergence of derivatives of B-splines to derivatives of the Gaussian function
• Landmark-based image analysis. Using geometric and intensity models.
• Registration for computer-integrated surgery: methodology, state of the art
• Principal warps: thin-plate splines and the decomposition of deformations

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