SpringerBriefs in Computer Science

Variational Regularization of 3D Data

Experiments with MATLAB®

Authors: Montegranario, Hebert, Espinosa, Jairo

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eBook $39.99
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  • ISBN 978-1-4939-0533-1
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Softcover $54.99
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  • ISBN 978-1-4939-0532-4
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About this book

Variational Regularization of 3D Data provides an introduction to variational methods for data modelling and its application in computer vision. In this book, the authors identify interpolation as an inverse problem that can be solved by Tikhonov regularization. The proposed solutions are generalizations of one-dimensional splines, applicable to n-dimensional data and the central idea is that these splines can be obtained by regularization theory using a trade-off between the fidelity of the data and smoothness properties.

As a foundation, the authors present a comprehensive guide to the necessary fundamentals of functional analysis and variational calculus, as well as splines. The implementation and numerical experiments are illustrated using MATLAB®. The book also includes the necessary theoretical background for approximation methods and some details of the computer implementation of the algorithms. A working knowledge of multivariable calculus and basic vector and matrix methods should serve as an adequate prerequisite.

Table of contents (8 chapters)

  • 3D Data in Computer Vision and Technology

    Montegranario, Hebert (et al.)

    Pages 1-4

  • Function Spaces and Reconstruction

    Montegranario, Hebert (et al.)

    Pages 5-17

  • Variational Methods

    Montegranario, Hebert (et al.)

    Pages 19-29

  • Interpolation. From One to Several Variables

    Montegranario, Hebert (et al.)

    Pages 31-43

  • Functionals and Their Physical Interpretations

    Montegranario, Hebert (et al.)

    Pages 45-49

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4939-0533-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-1-4939-0532-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Variational Regularization of 3D Data
Book Subtitle
Experiments with MATLAB®
Authors
Series Title
SpringerBriefs in Computer Science
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
The Author(s)
eBook ISBN
978-1-4939-0533-1
DOI
10.1007/978-1-4939-0533-1
Softcover ISBN
978-1-4939-0532-4
Series ISSN
2191-5768
Edition Number
1
Number of Pages
X, 85
Number of Illustrations and Tables
21 b/w illustrations
Topics