000			03752nam a22004815i 4500
001			978-1-4614-5638-4
003			DE-He213
005			20200420221259.0
007			cr nn 008mamaa
008			121211s2013 xxu| s |||| 0|eng d
020			_a9781461456384 _9978-1-4614-5638-4
024	7		_a10.1007/978-1-4614-5638-4 _2doi
050		4	_aT385
050		4	_aTA1637-1638
050		4	_aTK7882.P3
072		7	_aUYQV _2bicssc
072		7	_aCOM016000 _2bisacsh
082	0	4	_a006.6 _223
100	1		_aChen, Li M. _eauthor.
245	1	0	_aDigital Functions and Data Reconstruction _h[electronic resource] : _bDigital-Discrete Methods / _cby Li M. Chen.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXX, 208 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aIntroduction -- 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			_aDigital 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.
650		0	_aComputer science.
650		0	_aComputer graphics.
650		0	_aDiscrete mathematics.
650	1	4	_aComputer Science.
650	2	4	_aComputer Imaging, Vision, Pattern Recognition and Graphics.
650	2	4	_aSignal, Image and Speech Processing.
650	2	4	_aDiscrete Mathematics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461456377
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-5638-4
912			_aZDB-2-SCS
942			_cEBK
999			_c53079 _d53079