Digital Functions and Data Reconstruction (Record no. 53079)
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000 -LEADER | |
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fixed length control field | 03752nam a22004815i 4500 |
001 - CONTROL NUMBER | |
control field | 978-1-4614-5638-4 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20200420221259.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 121211s2013 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781461456384 |
-- | 978-1-4614-5638-4 |
082 04 - CLASSIFICATION NUMBER | |
Call Number | 006.6 |
100 1# - AUTHOR NAME | |
Author | Chen, Li M. |
245 10 - TITLE STATEMENT | |
Title | Digital Functions and Data Reconstruction |
Sub Title | Digital-Discrete Methods / |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XX, 208 p. |
505 0# - FORMATTED CONTENTS NOTE | |
Remark 2 | 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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 real numbers; 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. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4614-5638-4 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | eBooks |
264 #1 - | |
-- | New York, NY : |
-- | Springer New York : |
-- | Imprint: Springer, |
-- | 2013. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
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-- | rdacarrier |
347 ## - | |
-- | text file |
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-- | rda |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Computer science. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Computer graphics. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Discrete mathematics. |
650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Computer Science. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Computer Imaging, Vision, Pattern Recognition and Graphics. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Signal, Image and Speech Processing. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Discrete Mathematics. |
912 ## - | |
-- | ZDB-2-SCS |
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