Approximation Of Set-Valued Functions: Adaptation Of Classical Approximation Operators - Hardcover

Dyn, Nira

 
9781783263028: Approximation Of Set-Valued Functions: Adaptation Of Classical Approximation Operators
Hardcover
ISBN 10: 1783263024 ISBN 13: 9781783263028
Publisher: Icp, 2014

Synopsis

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.

"synopsis" may belong to another edition of this title.

From the Back Cover

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.

"About this title" may belong to another edition of this title.

Publisher
Icp
Publication date
2014
Language
English
ISBN 10 
1783263024
ISBN 13 
9781783263028
Binding
Hardcover
Number of pages
168