عنوان

Variational regularization of 3D data :

(Number (ISBN

1493905333 (electronic bk.)

(Number (ISBN

9781493905331 (electronic bk.)

Erroneous ISBN

1493905325 (print)

Erroneous ISBN

9781493905324

Erroneous ISBN

9781493905324 (print)

Number

dltt

Title Proper

Variational regularization of 3D data :

General Material Designation

[Book]

Other Title Information

experiments with MATLAB® /

First Statement of Responsibility

Hebert Montegranario, Jairo Espinosa

Specific Material Designation and Extent of Item

1 online resource (x, 85 pages) :

Other Physical Details

illustrations.

Series Title

SpringerBriefs in Computer Science,

ISSN of Series

2191-5768

Text of Note

Includes bibliographical references

Text of Note

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

0

Text of Note

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

International Standard Book Number

9781493905324

International Standard Book Number

9781493905331

Computer vision.

Three-dimensional imaging.

Computer Science.

Image Processing and Computer Vision.

Math Applications in Computer Science.

Simulation and Modeling.

COM-- 000000

COM012000

COM016000

UYQV

UYT

Class number

Montegranario, Hebert

Espinosa, Jairo

Ohio Library and Information Network.

Date of Transaction

20201222074608.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

270410

Y