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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2014-09-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201445031 |
| Summary: | 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. |
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| ISSN: | 2267-3059 |