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E-book
Author Montegranario, Hebert, author

Title Variational regularization of 3D data : experiments with MATLABĀ® / Hebert Montegranario, Jairo Espinosa
Published New York, NY : Springer, 2014

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Description 1 online resource (x, 85 pages) : illustrations
Series SpringerBriefs in Computer Science, 2191-5768
SpringerBriefs in computer science, 2191-5768
Contents 3D Data in Computer vision and technology -- Function Spaces and Reconstruction -- Variational methods -- Interpolation: From one to several variables -- Functionals and their physical interpretations -- Regularization and inverse theory -- 3D Interpolation and approximation -- Radial basis functions
Summary 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
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (SpringerLink, viewed March 17, 2014)
In Springer eBooks
SUBJECT MATLAB. http://id.loc.gov/authorities/names/n92036881
MATLAB fast
Subject Computer vision.
Three-dimensional imaging.
Imaging, Three-Dimensional
three-dimensional.
COMPUTERS -- General.
Computer vision
Three-dimensional imaging
Form Electronic book
Author Espinosa, Jairo, author.
ISBN 9781493905331
1493905333
1493905325
9781493905324