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024 7 $a10.1007/978-1-4614-5638-4
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035   $a(EBL)1081967
035   $a(OCoLC)823729030
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035   $a(DE-He213)978-1-4614-5638-4
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100   $a20120828d2013      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDigital functions and data reconstruction $edigital-discrete methods /$fLi M. Chen
205   $a1st ed. 2013.
210   $aNew York $cSpringer$d2013
215   $a1 online resource (219 p.)
300   $aDescription based upon print version of record.
311 08$a1-4899-9495-5 
311 08$a1-4614-5637-1 
320   $aIncludes bibliographical references and index.
327   $apt. I. Digital functions -- pt. II. Digital-discrete data reconstruction -- pt. III. Advanced topics.
330   $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.
606   $aFunctions, Continuous
606   $aData recovery (Computer science)
615  0$aFunctions, Continuous.
615  0$aData recovery (Computer science)
676   $a511.6
700   $aChen$b Li M$0906133
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910437591403321
996   $aDigital functions and data reconstruction$94185109
997   $aUNINA