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.
- ISBN:
- 9781783263028
- 9781783263028
-
Category:
- Algebraic topology
- Format:
- Hardback
- Publication Date:
-
18-12-2014
- Publisher:
- Imperial College Press
- Country of origin:
- United Kingdom
- Pages:
- 168
- Dimensions (mm):
- 231x157x15mm
- Weight:
- 0.45kg
Click 'Notify Me' to get an email alert when this item becomes available
Hi There,
Did you know that you can save books into your library to create gift lists, reading lists, etc?
You can also mark books that you're reading, or want to read.
Great!
Click on Save to My Library / Lists
Select the List you'd like to categorise as, or add your own
Here you can mark if you have read this book, reading it or want to read
Awesome! You added your first item into your Library
Great! The fun begins.
Click on My Library / My Lists and I will take you there
Reviews
Be the first to review Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators.
Share This Book: