books of the month
Search our site
Persons Unknown by Susie Steiner Read the opening extract of the brand new Susie Steiner book before its publication on 05/04/2018

Digital Functions and Data Reconstruction Digital-Discrete Methods by Li Chen

Digital Functions and Data Reconstruction Digital-Discrete Methods


Digital Functions and Data Reconstruction Digital-Discrete Methods by Li Chen

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.


The main topic of the book is data reconstruction, i.e. curve or surface fitting

to a given digital function. This is important for various engineering

applications, especially image processing... The present book focuses on the

concept of a gradually varied function (GVF) and its applications... The author

discusses in 11.3 the `natural
continuity and smoothness. According to him,

such notions are not absolute as in the conventional theory in pure mathematics,

but rather depend on the scale to be considered. This is an interesting opinion


This is a huge collection of the author's works on the practical applications of

gradually varied functions. It is also a nice textbook for curve/surface

fitting. (S. Hitotumatu, Mathematical Review, MR3013361)

The book under review provides an introduction and comprehensive

survey of digital function methods and their applications to image data analysis

and data reconstruction. This is the first book about this important topic. It

is mainly written for graduate students in computer science and for researchers

who are interested in digital geometry, computer graphics, and data

reconstruction... Without any doubt, this book will be a valuable source of

information on digital functions and its applications. (Manfred Tasche,

Zentralblatt MATH, Zbl 06102122)

About the Author

Loading other formats...

Book Info

Publication date

28th January 2015


Li Chen

More books by Li Chen
Author 'Like for Like'


Springer-Verlag New York Inc.


208 pages


Computer vision
Imaging systems & technology
Discrete mathematics



I love Lovereading because I get to read great books and then get to tell everybody how good they are.

Sally Doel

Lovereading is a wonderful way to expand my literary horizons, discover inspiring authors & get the chance to read new novels first. #loveit

Zarina de Ruiter

As for why I'd recommend Lovereading, it's simple - it's a great place to get information and reviews about new books!

Margaret Freeman

Discover new authors and enjoy old favourites; oodles of literary gems to uncover at Lovereading with candid reviews from real reviewers.

Emily Wright

Lovereading is pitched at just the right level for all the various types of people who enjoy reading in its many forms.

Pam Woodburn

A great place to go to find your next literary escape, and where you don't have to judge a book by its cover!

Suzanne Beney

I recommend Lovereading because you get honest reviews on a whole range of genres-there's something for everyone. It's the only site I need.

Sian Spinney

What can I say, the clue is in the title Lovereading - and awesome books.

Sarah Davis