Nonlinear Smoothing and Multiresolution Analysis

• Κύριος συγγραφέας: Rohwer, Carl (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2005.
• Σειρά: International Series of Numerical Mathematics ; 150
• Θέματα: Mathematics.; Approximation theory.; Fourier analysis.; Operator theory.; Applied mathematics.; Engineering mathematics.; Mathematics, general.; Approximations and Expansions.; Fourier Analysis.; Operator Theory.; Appl.Mathematics/Computational Methods of Engineering.; Signal, Image and Speech Processing.

This monograph presents a new theory for analysis, comparison and design of nonlinear smoothers, linking to established practices. Although a part of mathematical morphology, the special properties yield many simple, powerful and illuminating results leading to a novel nonlinear multiresolution anal...

Πίνακας περιεχομένων:

• Operators on Sequences
• Basic Rank Selectors, Pulses and Impulses
• LULU-Smoothers, Signals and Ambiguity
• LULU-Intervals, Noise and Co-idempotence
• Smoothing and Approximation with Signals
• Variation Reduction and Shape Preservation
• Multiresolution Analysis of Sequences
• The Discrete Pulse Transform
• Fair Comparison with Linear Smoothers
• Interpretation and Future.