Digital Functions and Data Reconstruction
Digital-Discrete Methods
Seiten
2015
Springer-Verlag New York Inc.
978-1-4899-9495-0 (ISBN)
Springer-Verlag New York Inc.
978-1-4899-9495-0 (ISBN)
Digital Functions and Data Reconstruction: Digital-Discrete Methods provides a solid foundation to the theory of digital functions and its applications to image data analysis, digital object deformation, and data reconstruction. This new method has a unique feature in that it is mainly built on discrete mathematics with connections to classical methods in mathematics and computer sciences.
Digitally continuous functions and gradually varied functions were developed in the late 1980s. A. Rosenfeld (1986) proposed digitally continuous functions for digital image analysis, especially to describe the “continuous” component in a digital image, which usually indicates an object. L. Chen (1989) invented gradually varied functions to interpolate a digital surface when the boundary appears to be continuous. In theory, digitally continuous functions are very similar to gradually varied functions. Gradually varied functions are more general in terms of being functions of realnumbers; digitally continuous functions are easily extended to the mapping from one digital space to another.
This will be the first book about digital functions, which is an important modern research area for digital images and digitalized data processing, and provides an introduction and comprehensive coverage of digital function methods. Digital Functions and Data Reconstruction: Digital-Discrete Methods offers scientists and engineers who deal with digital data a highly accessible, practical, and mathematically sound introduction to the powerful theories of digital topology and functional analysis, while avoiding the more abstruse aspects of these topics.
Digitally continuous functions and gradually varied functions were developed in the late 1980s. A. Rosenfeld (1986) proposed digitally continuous functions for digital image analysis, especially to describe the “continuous” component in a digital image, which usually indicates an object. L. Chen (1989) invented gradually varied functions to interpolate a digital surface when the boundary appears to be continuous. In theory, digitally continuous functions are very similar to gradually varied functions. Gradually varied functions are more general in terms of being functions of realnumbers; digitally continuous functions are easily extended to the mapping from one digital space to another.
This will be the first book about digital functions, which is an important modern research area for digital images and digitalized data processing, and provides an introduction and comprehensive coverage of digital function methods. Digital Functions and Data Reconstruction: Digital-Discrete Methods offers scientists and engineers who deal with digital data a highly accessible, practical, and mathematically sound introduction to the powerful theories of digital topology and functional analysis, while avoiding the more abstruse aspects of these topics.
Introduction.- Functions and Relations.- Functions in Digital and Discrete Space.- Gradually Varied Extensions.- Digital and Discrete Deformation.- Basic Numerical and Computational Methods.- Digital-Discrete Approaches for Smooth Functions.- Digital-Discrete Methods for Data Reconstruction.- Harmonic Functions for Data Reconstruction on 3D Manifolds.- Gradual Variations and Partial Differential Equations.- Gradually Varied Functions for Advanced Computational Methods.- Digital-Discrete Method and Its Relations to Graphics and AI Methods.
| Erscheint lt. Verlag | 28.1.2015 |
|---|---|
| Zusatzinfo | XX, 208 p. |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Informatik ► Grafik / Design ► Digitale Bildverarbeitung |
| Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik | |
| Mathematik / Informatik ► Mathematik | |
| Technik ► Elektrotechnik / Energietechnik | |
| ISBN-10 | 1-4899-9495-5 / 1489994955 |
| ISBN-13 | 978-1-4899-9495-0 / 9781489994950 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Modelle für 3D-Druck und CNC entwerfen
Buch | Softcover (2022)
dpunkt (Verlag)
CHF 48,85
alles zum Drucken, Scannen, Modellieren
Buch | Softcover (2024)
Markt + Technik Verlag
CHF 34,90
