Overview
- Treats both theoretical and practical aspects of image processing, partial differential inclusions, shape optimization, and optimal control
- Contains applications to medical and rehabilitation technology
- Includes new theoretical results and applications in biomechanics, medical technology, image processing, and robotic control
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 109)
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Table of contents (6 chapters)
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Front Matter
Keywords
- biomechanics
- image processing
- robot control
- Mathematical Modeling
- 16th French-German-Polish Conference on Optimization
- shape optimization
- optimal control in medical and rehabilitation technology
- topological optimization
- control of the Rayleigh equation
- optimal control of chemotherapy of HIV
- Pontryagin function
- applied mathematics
- automatic control
- Signorini type
- elliptic boundary value problems
- Partial Differential Equations
- Bregman Distances in Inverse Problems
- topological optimization
About this book
This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable.
The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a firstorder in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.
Editors and Affiliations
Bibliographic Information
Book Title: Advances in Mathematical Modeling, Optimization and Optimal Control
Editors: Jean-Baptiste Hiriart-Urruty, Adam Korytowski, Helmut Maurer, Maciej Szymkat
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-319-30785-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-30784-8Published: 27 May 2016
Softcover ISBN: 978-3-319-80885-7Published: 30 May 2018
eBook ISBN: 978-3-319-30785-5Published: 19 May 2016
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: V, 201
Number of Illustrations: 5 b/w illustrations, 15 illustrations in colour
Topics: Calculus of Variations and Optimal Control; Optimization, Biomedical Engineering and Bioengineering, Image Processing and Computer Vision, Operator Theory, Computational Mathematics and Numerical Analysis