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Digital Functions and Data Reconstruction: Digital-Discrete Methods - Hardcover

Chen, Li

 
9781461456377: Digital Functions and Data Reconstruction: Digital-Discrete Methods

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Qinhua Zheng is director of Research Center of Distance Education, BNU. He earned his PhD from Beijing Normal University, China. He has initiated and led many successful projects. Areas of his research interests include the Cost-Effectiveness Analysis of Distance Education, Quality Assurance of e-Learning, Massive Online Open Courses, Learning Analytics, Big Data in Education. He has published over 60 scientific papers and 5 books on these topics. These years, his researches mainly focused on how to build the model to explain the online learners' competency during their web-based learning, and how to use data to show and assess teaching and learning. He has developed the software "Wisdom Line" to support the online learning institutes in China based on the researches.
Prof. Chen Li, Vice president of Beijing Normal University (BNU). Since 2005, she has worked as a professor in Research Center of Distance Education. Meanwhile, she also worked as a visiting scholar at Open University in UK and Open University in HK. Professor Chen's research mainly focuses on Distance Education & Lifelong Learning. she has been undertaking more than 10 large-scale projects. She is currently leading the projects "Quality Assurance Standard on Distance Education for China" and "Survey on Lifelong Learning Literacy for Adult in Beijing". She has published 10 books and more than 100 academic papers.
Prof. Dr. Daniel Burgos works as Vice-rector for Knowledge Transfer & Technology, UNESCO Chair on eLearning and ICDE Chair in OER at Universidad Internacional de La Rioja. He is also Director of the Research Institute for Innovation & Technology in Education. He contributes to research and implementation projects about social entrepreneurship (Social Seducement), regional Open Education (OpenMed), clustered Open Education (Open Educators Factory), funded by the European Commission and Worldwide. His interests mainly focus on Educational Technology and Innovation: Adaptive/Personalised and Informal eLearning, Open Education, Learning Analytics, Social Networks, eGames, and eLearning Specifications. He has published over 100 scientific papers and 15 books on these topics. He has been the jury chair of the 2016 UNESCO Prize for the Use of ICTs in Education. He holds degrees in Communication (PhD), Computer Science (Dr. Ing), Education (PhD), Anthropology (PhD) and Business Administration (DBA).

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