Shape deformation and optimal control

Shape deformation and optimal control

Shape deformation analysis is concerned with determining a deformation of a given shape into another one, which is optimal for a certain cost. We provide the main ideas for a new general approach to shape deformation analysis, using the framework of optimal control theo...

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Main Authors: Arguillère Sylvain, Trélat Emmanuel, Trouvé Alain, Younès Laurent
Format: Article
Language:English
Published: EDP Sciences 2014-09-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201445031
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spelling doaj-25f563813bbd494e8500070d7da981532021-07-15T14:07:21ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592014-09-014530030710.1051/proc/201445031proc144531Shape deformation and optimal controlArguillère Sylvain0Trélat Emmanuel1Trouvé Alain2Younès Laurent3Université Pierre et Marie Curie (Univ. Paris 6), CNRS UMR 7598, Laboratoire Jacques-Louis LionsUniversité Pierre et Marie Curie (Univ. Paris 6) and Institut Universitaire de France and Team GECO Inria Saclay, CNRS UMR 7598, Laboratoire Jacques-Louis LionsEcole Normale Supérieure de Cachan, Centre de Mathématiques et Leurs Applications, CMLAJohns Hopkins University, Center for Imaging Science, Department of Applied Mathematics and Statistics, Clark 324CShape deformation analysis is concerned with determining a deformation of a given shape into another one, which is optimal for a certain cost. We provide the main ideas for a new general approach to shape deformation analysis, using the framework of optimal control theory. This point of view can be made independent from the parametrization of the shape, and allows to model general constrained shape analysis problems. The use of a infinite dimensional variant of the constrained Pontryagin Maximum Principle characterizes the optimal solutions of the shape deformation problem in a very general way.http://dx.doi.org/10.1051/proc/201445031
collection DOAJ
language English
format Article
sources DOAJ
author Arguillère Sylvain
Trélat Emmanuel
Trouvé Alain
Younès Laurent
spellingShingle Arguillère Sylvain
Trélat Emmanuel
Trouvé Alain
Younès Laurent
Shape deformation and optimal control
ESAIM: Proceedings and Surveys
author_facet Arguillère Sylvain
Trélat Emmanuel
Trouvé Alain
Younès Laurent
author_sort Arguillère Sylvain
title Shape deformation and optimal control
title_short Shape deformation and optimal control
title_full Shape deformation and optimal control
title_fullStr Shape deformation and optimal control
title_full_unstemmed Shape deformation and optimal control
title_sort shape deformation and optimal control
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2014-09-01
description Shape deformation analysis is concerned with determining a deformation of a given shape into another one, which is optimal for a certain cost. We provide the main ideas for a new general approach to shape deformation analysis, using the framework of optimal control theory. This point of view can be made independent from the parametrization of the shape, and allows to model general constrained shape analysis problems. The use of a infinite dimensional variant of the constrained Pontryagin Maximum Principle characterizes the optimal solutions of the shape deformation problem in a very general way.
url http://dx.doi.org/10.1051/proc/201445031
work_keys_str_mv AT arguilleresylvain shapedeformationandoptimalcontrol
AT trelatemmanuel shapedeformationandoptimalcontrol
AT trouvealain shapedeformationandoptimalcontrol
AT youneslaurent shapedeformationandoptimalcontrol
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