Variational Regularization of 3D Data: Experiments with MATLAB® - Brossura

Montegranario, Hebert

Brossura

ISBN 10: 1493905325 ISBN 13: 9781493905324

Casa editrice: Springer, 2014

Riassunto

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.

Su questo libro

Contenuti

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.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2014
• ISBN 10: 1493905325
• ISBN 13: 9781493905324
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 96