03423nam 2200577 a 450 991043759140332120200520144314.01-283-93424-81-4614-5638-X10.1007/978-1-4614-5638-4(CKB)3400000000093757(EBL)1081967(OCoLC)823729030(SSID)ssj0000878744(PQKBManifestationID)11479431(PQKBTitleCode)TC0000878744(PQKBWorkID)10837107(PQKB)11283326(DE-He213)978-1-4614-5638-4(MiAaPQ)EBC1081967(PPN)168303574(EXLCZ)99340000000009375720120828d2013 uy 0engur|n|---|||||txtccrDigital functions and data reconstruction digital-discrete methods /Li M. Chen1st ed. 2013.New York Springer20131 online resource (219 p.)Description based upon print version of record.1-4899-9495-5 1-4614-5637-1 Includes bibliographical references and index.pt. I. Digital functions -- pt. II. Digital-discrete data reconstruction -- pt. III. Advanced topics.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.Functions, ContinuousData recovery (Computer science)Functions, Continuous.Data recovery (Computer science)511.6Chen Li M906133MiAaPQMiAaPQMiAaPQBOOK9910437591403321Digital functions and data reconstruction4185109UNINA