Gaussian diffeons for surface and image matching within a Lagrangian framework
type: Item
instance of: scholarly article
title: Gaussian diffeons for surface and image matching within a Lagrangian framework
zbMATH Open document ID: 1319.49070
published in: Geometry, Imaging and Computing
publication date: 2015-04-09T00:00:00Z
review text: The author introduces---through an optimal control formalism---a new Galerkin-like numerical scheme that is particularly suitable for image matching on surfaces. In order to make use of gradient-based methods, optimality conditions are derived. Beyond stressing the theoretical basis of the approach (by handling the corresponding infinite-dimensional optimization problem through a modification of a general scheme introduced in a previous paper [\textit{L. Younes}, Found. Comput. Math. 12, No. 3, 295--325 (2012; Zbl 1254.49026)]), the author provides several nice detailed pictures illustrating the numerical performance of the method.
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49N90
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 53C17
zbMATH DE Number: 6423965
zbMATH Keywords: shape analysis
zbMATH Keywords: optimal control
zbMATH Keywords: Galerkin-like numerical scheme
zbMATH Keywords: image matching
zbMATH Keywords: groups of diffeomorphisms
zbMATH Keywords: sub-Riemannian geometry
author: Laurent Younes
reviewed by: Antonio Roberto da Silva
MaRDI profile type: Publication
DOI: 10.4310/GIC.2014.V1.N1.A3
description: scientific article; zbMATH DE number 6423965